Harjoitustehtävät ja työt https://peda.net/id/bbe87b60210 2018-03-06T08:22:24+02:00 https://peda.net/:static/535/peda.net.logo.bg.svg <div class="license">Tämän sivun lisenssi <a rel="license" href="https://peda.net/info">Peda.net-yleislisenssi</a></div> S.152 4-22 https://peda.net/id/31f6f68e3bd 2018-04-09T11:44:20+03:00 2018-04-09T11:44:20+03:00 S.152 4-21 https://peda.net/id/2d3f63e23bd 2018-04-09T11:44:12+03:00 2018-04-09T11:44:12+03:00 S.152 4-19 https://peda.net/id/2589b5303bd 2018-04-09T11:43:59+03:00 2018-04-09T11:43:59+03:00 S.146 4-16 https://peda.net/id/3dfc71323bc 2018-04-09T11:43:42+03:00 <p>a)<br/> Yhdiste on rengasrakenteinen tyydyttymätön hiilivety<br/> b)<br/> Voi olla, koska yhdiste on regasrakenteinen, joka tarkoittaa sitä, että ne hiiliatomien välissä olevat sidokset voivat taippua. Sen lisäksi yhdisteessä myös yksittäisiä C-C-sidoksia, ja nekin pystyvät taippua.<br/> c)</p> 2018-04-09T10:47:24+03:00 S.146 4-13 https://peda.net/id/32760d323bc 2018-04-09T11:40:21+03:00 A 1<br/> B 1<br/> D 3<br/> E 1 2018-04-09T10:47:05+03:00 S.145 4-11 https://peda.net/id/2d4eec203bc 2018-04-09T11:35:43+03:00 a) E<br/> b) Z<br/> c) E<br/> d) Z 2018-04-09T10:46:56+03:00 S.144 4-10 https://peda.net/id/2757100e3bc 2018-04-09T11:34:48+03:00 <a href="https://peda.net/p/kirin_porsti/kemia/ke2s/hjt/s-144-4-10/4-10-png#top" title="4-10.PNG"><img src="https://peda.net/p/kirin_porsti/kemia/ke2s/hjt/s-144-4-10/4-10-png:file/photo/1eed08817d55f458ea2893cd11d0b5896a3e547a/4-10.PNG" alt="" title="4-10.PNG" class="inline" loading="lazy"/></a> 2018-04-09T10:46:46+03:00 S.144 4-7 https://peda.net/id/216b88783bc 2018-04-09T10:48:28+03:00 BD<br/> EG 2018-04-09T10:46:36+03:00 S.135 4-5 https://peda.net/id/f9a6acc8397 2018-04-06T11:36:50+03:00 a) Amidiryhmä<br/> b) Esteriryhmä<br/> c) <br/> <a href="https://peda.net/p/kirin_porsti/kemia/ke2s/hjt/s-135-4-5/4-5-png#top" title="4-5.PNG"><img src="https://peda.net/p/kirin_porsti/kemia/ke2s/hjt/s-135-4-5/4-5-png:file/photo/26c73fbd10b3f49c42b1fa9f15379e036f218446/4-5.PNG" alt="" title="4-5.PNG" class="inline" loading="lazy"/></a><br/> d)<br/> 26 2018-04-06T11:10:31+03:00 S.135 4-3 https://peda.net/id/e12ea07e397 2018-04-06T11:30:02+03:00 <a href="https://peda.net/p/kirin_porsti/kemia/ke2s/hjt/s-134-4-3/4-3-png#top" title="4-3.PNG"><img src="https://peda.net/p/kirin_porsti/kemia/ke2s/hjt/s-134-4-3/4-3-png:file/photo/70d6badfe6c1e58d1ac82505a551d7315c1e3205/4-3.PNG" alt="" title="4-3.PNG" class="inline" loading="lazy"/></a> 2018-04-06T11:09:50+03:00 S.134 4-1 https://peda.net/id/da055112397 2018-04-06T11:19:16+03:00 a) Sidokset sitoutuvat tasaisesti säännöllisen  tetraedrin kärkiin.<br/> b) Sidokset sitoutuvat yhtä kauas toisista, mutta niitä taivuttaa vedyn vapana jäävä elekrtonipari, jolloin kulman suurus pienenee.<br/> c) Vedyn vapana jäävä elektroninpari on taivuttanut sidoskulmaa. 2018-04-06T11:09:38+03:00 S.123 3-24 https://peda.net/id/ade8c4a2389 2018-04-05T12:34:48+03:00 a)<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=M%5Cleft(X%5Cright)%3D74%5Cfrac%7Bg%7D%7Bmol%7D" alt="M\left(X\right)=74\frac{g}{mol}"/><br/> b)<br/> 1700-1750cm<sup>-1</sup> eli X:ssä voi olla aldehydi-, ketoni-, karboksyylihappo-ja esteriryhmä<br/> c)<br/> Molekyylikaavan mukaan yhdiste voi olla joko karboksyylihappo tai esteri, kun kyseessä on neutraalinen liuos, yhdiste on oltava esteri<br/> <a href="https://peda.net/p/kirin_porsti/kemia/ke2s/hjt/s-123-3-24/3-24-c-png2#top" title="3-24 c.PNG"><img src="https://peda.net/p/kirin_porsti/kemia/ke2s/hjt/s-123-3-24/3-24-c-png2:file/photo/868c18ed8af3643afed9992a1e0ebc6b0332af11/3-24%20c.PNG" alt="" title="3-24 c.PNG" class="inline" loading="lazy"/></a><br/> d)<br/> <a href="https://peda.net/p/kirin_porsti/kemia/ke2s/hjt/s-123-3-24/3-24-d-png#top" title="3-24 d.PNG"><img src="https://peda.net/p/kirin_porsti/kemia/ke2s/hjt/s-123-3-24/3-24-d-png:file/photo/eebd922124af6f5b581c32ba9a7d99d6789f0786/3-24%20d.PNG" alt="" title="3-24 d.PNG" class="inline" loading="lazy"/></a> 2018-04-05T09:22:13+03:00 S.123 3-23 https://peda.net/id/7fe9ae40389 2018-04-06T10:22:34+03:00 a)<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=M%5Cleft(A%5Cright)%3D56%5Cfrac%7Bg%7D%7Bmol%7D" alt="M\left(A\right)=56\frac{g}{mol}"/><br/> b)<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=x%5Ccdot%5Cleft(12%7B%2C%7D01%5Cfrac%7Bg%7D%7Bmol%7D%2B2%5Ccdot1%7B%2C%7D008%5Cfrac%7Bg%7D%7Bmol%7D%5Cright)%3D56%5Cfrac%7Bg%7D%7Bmol%7D" alt="x\cdot\left(12{,}01\frac{g}{mol}+2\cdot1{,}008\frac{g}{mol}\right)=56\frac{g}{mol}"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=14%7B%2C%7D026x%3D56" alt="14{,}026x=56"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=x%3D%5Cfrac%7B56%7D%7B14%7B%2C%7D026%7D%3D4" alt="x=\frac{56}{14{,}026}=4"/><br/> (CH<sub>2</sub>)<sub>4</sub>=C<sub>4</sub>H<sub>8<br/> </sub>c)<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=CH_3CH_2%5E%2B%3DC_2H_5%5E%2B" alt="CH_3CH_2^+=C_2H_5^+"/><span> </span><br/> d)<br/> Yhdisteessä on C=C kaksois-sidos, koksa sen aaltoluku vastaa tämän sidosvärähtelyn aaltolukua.<br/> e)<br/> <a href="https://peda.net/p/kirin_porsti/kemia/ke2s/hjt/s-123-3-23/3-23-e-png#top" title="3-23 e.PNG"><img src="https://peda.net/p/kirin_porsti/kemia/ke2s/hjt/s-123-3-23/3-23-e-png:file/photo/2e3f54bd70b3245328f3288316f2b88fe0e0c7d1/3-23%20e.PNG" alt="" title="3-23 e.PNG" class="inline" loading="lazy"/></a> 2018-04-05T09:20:56+03:00 S.122 3-22 https://peda.net/id/7611de1a389 2018-04-05T09:52:51+03:00 <a href="https://peda.net/p/kirin_porsti/kemia/ke2s/hjt/s-122-3-22/3-22-png#top" title="3-22.PNG"><img src="https://peda.net/p/kirin_porsti/kemia/ke2s/hjt/s-122-3-22/3-22-png:file/photo/4417e1c6122c52d9542e08d13ded916c75fb9204/3-22.PNG" alt="" title="3-22.PNG" class="inline" loading="lazy"/></a><br/> Pentoni C<sub>5</sub>H<sub>10</sub>O<br/> Tätä saattiin ihan vain laskemalla.<br/> <br/> <img src="https://math-demo.abitti.fi/math.svg?latex=86%5Cfrac%7Bg%7D%7Bmol%7D-16%5Cfrac%7Bg%7D%7Bmol%7D%3D70%5Cfrac%7Bg%7D%7Bmol%7D" alt="86\frac{g}{mol}-16\frac{g}{mol}=70\frac{g}{mol}"/><br/> <div>Hiilelle ja vedylle jää moolimassaksi 70g/mol</div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=5%5Ccdot12%5Cfrac%7Bg%7D%7Bmol%7D%3D60%5Cfrac%7Bg%7D%7Bmol%7D" alt="5\cdot12\frac{g}{mol}=60\frac{g}{mol}"/></div> <img src="https://math-demo.abitti.fi/math.svg?latex=60%5Cfrac%7Bg%7D%7Bmol%7D%2B10%5Ccdot1%5Cfrac%7Bg%7D%7Bmol%7D%3D70" alt="60\frac{g}{mol}+10\cdot1\frac{g}{mol}=70"/> <div>Jolloin sen molekyylikaava on</div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=C_5H_%7B10%7DO" alt="C_5H_{10}O"/></div> <div>Eli kyseessä on petoni</div> 2018-04-05T09:20:39+03:00 S.122 3-21 https://peda.net/id/70521684389 2018-04-05T09:33:52+03:00 a)<br/> CH<sub>3</sub>CH<sub>2</sub><br/> b)<br/> C-Cl Kloorialkaani 600-800 cm<sup>-1</sup><br/> C-H Alkaani, alkeeni, aromaattinen 2850-3100 cm<sup>-1</sup><br/> c)<br/> 2, koska H-NMR-spektromertisessä tutkimuksessa otetaan huomioon vain vetyjä sisältäviä atomeja.<br/> 2018-04-05T09:20:30+03:00 S.113 3-15 https://peda.net/id/a63e5fc4331 2018-03-29T12:33:30+03:00 a)<br/> 1-Butanoli 117°C Koska sillä on suora hiiliketju, ja sillä on havhvasti poolinen OH-ryhmä<br/> 2-Butanoli 100<span>°C Silläkin on vahava poolinen OH-ryhmä, mutta haaroittunut hiilikejut henkentää dispersiovoiman vaikutusta.<br/> </span>Dietyylieetteri 35<span>°C Ei niin poolinen<br/> </span>b)<br/> Butaanihappo 164<span>°C Koska se on happo, ja sillä on vahva poolinen COOH-ryhmä<br/> </span>Etyyliasetaatti 77<span>°C Ei niin poolinen<br/> </span>c)<br/> Trimetyyliamiini Hyvä, sillä typeen ei ole liitetty vedyn atomeja.<br/> Proppyliamiini Erittäin hyvä, koska typeen on liitetty vedyn atomeja, toisaalta NH<sub>2</sub>-ryhmä on myös hiiliketjun päässä, ja se vahvista sen liukoisuutta veteen.<br/> <br/> 2018-03-29T09:37:28+03:00 S.112 3-13 https://peda.net/id/9efb4bfa331 2018-04-05T08:37:51+03:00 <a href="https://peda.net/p/kirin_porsti/kemia/ke2s/hjt/s-112-3-13/3-13-png2#top" title="3-13.PNG"><img src="https://peda.net/p/kirin_porsti/kemia/ke2s/hjt/s-112-3-13/3-13-png2:file/photo/6bfc49fa8f439f140412ffa2a1c25e492942f207/3-13.PNG" alt="" title="3-13.PNG" class="inline" loading="lazy"/></a> 2018-03-29T09:37:15+03:00 S.112 3-12 https://peda.net/id/98ccb976331 2018-04-05T08:28:17+03:00 a)<br/> <a href="https://peda.net/p/kirin_porsti/kemia/ke2s/hjt/s-112-3-12/3-12-a-png2#top" title="3-12 a.PNG"><img src="https://peda.net/p/kirin_porsti/kemia/ke2s/hjt/s-112-3-12/3-12-a-png2:file/photo/27052370fb79368fe9aaad0a2b1c755d8a8dd3e9/3-12%20a.PNG" alt="" title="3-12 a.PNG" class="inline" loading="lazy"/></a><br/> b)<br/> <a href="https://peda.net/p/kirin_porsti/kemia/ke2s/hjt/s-112-3-12/3-12-b-png#top" title="3-12 b.PNG"><img src="https://peda.net/p/kirin_porsti/kemia/ke2s/hjt/s-112-3-12/3-12-b-png:file/photo/5c7b508d920a380c1165c97d471494b6ef45c58f/3-12%20b.PNG" alt="" title="3-12 b.PNG" class="inline" loading="lazy"/></a> 2018-03-29T09:37:05+03:00 S.112 3-11 https://peda.net/id/90c70a42331 2018-03-29T09:39:33+03:00 A, E<br/> B, C<br/> <br/> 2018-03-29T09:36:52+03:00 S.106 3-10 https://peda.net/id/4240039a30c 2018-04-02T19:23:44+03:00 a) Pääte -oni viittaa testosteribub rajebteessa olevaan karbonyyliryhmään (ketoryhmään). Yhdisteet, jossa on funktionaalisena ryhmänä ketoryhmä, saavat nimeensä päätteen -oni.<br/> b)<br/> <div><img src="https://math-demo.abitti.fi/math.svg?latex=m%5Cleft(veri%5Cright)%3D4%7B%2C%7D5l%3D4%7B%2C%7D5kg%3D4500g%3D45000g" alt="m\left(veri\right)=4{,}5l=4{,}5kg=4500g=45000g"/></div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=m%5Cleft(testosteroli%5Cright)%3D8%7B%2C%7D0mg" alt="m\left(testosteroli\right)=8{,}0mg"/></div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=n%5Cleft(testosteroli%5Cright)%3D%5Cfrac%7B0%7B%2C%7D008g%7D%7B288%7B%2C%7D42%5Cfrac%7Bg%7D%7Bmol%7D%7D%3D2%7B%2C%7D7737%5Ccdot10%5E%7B-5%7Dmol" alt="n\left(testosteroli\right)=\frac{0{,}008g}{288{,}42\frac{g}{mol}}=2{,}7737\cdot10^{-5}mol"/></div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=c%3D%5Cfrac%7Bn%7D%7BV%7D" alt="c=\frac{n}{V}"/> <div><br/> <div>c= Konsentraatio (mol/l tai mol/dm3)<br/> n= Aineemäärä (mol)</div> <div>V= Tilavuus (l tai dm3)  <br/> <br/> </div> </div> </div> <div> <div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=c%5Cleft(testosteroli%5Cright)%3D%5Cfrac%7B2%7B%2C%7D7737%5Ccdot10%5E%7B-5%7Dmol%7D%7B4%7B%2C%7D5l%7D%3D6%7B%2C%7D16%5Ccdot10%5E%7B-6%7D%5Cfrac%7Bmol%7D%7Bl%7D" alt="c\left(testosteroli\right)=\frac{2{,}7737\cdot10^{-5}mol}{4{,}5l}=6{,}16\cdot10^{-6}\frac{mol}{l}"/></div> </div> </div> 2018-03-26T11:25:36+03:00 S.106 3-9 https://peda.net/id/3d7b7b1e30c 2018-04-02T19:03:47+03:00 <table> <tbody> <tr> <td>Molekyylimalli</td> <td>Yhdisteryhmä</td> <td>Viivakaava</td> <td>Nimi</td> </tr> <tr> <td><a href="https://peda.net/p/kirin_porsti/kemia/ke2s/hjt/s-106-3-9/3-9-1-png#top" title="3-9 1.PNG"><img src="https://peda.net/p/kirin_porsti/kemia/ke2s/hjt/s-106-3-9/3-9-1-png:file/photo/7d781f68b2cc640a29ba4b821617e8d00c8b0e99/3-9%201.PNG" alt="" title="3-9 1.PNG" class="inline" loading="lazy"/></a></td> <td>Sekundäärinen alkoholi</td> <td><a href="https://peda.net/p/kirin_porsti/kemia/ke2s/hjt/s-106-3-9/3-9-1-1-png#top" title="3-9 1,1.PNG"><img src="https://peda.net/p/kirin_porsti/kemia/ke2s/hjt/s-106-3-9/3-9-1-1-png:file/photo/4174bc1d001070921f108e19c2fe44fb1fe2a7b7/3-9%201%2C1.PNG" alt="" title="3-9 1,1.PNG" class="inline" loading="lazy"/></a></td> <td>2-heksanoli (heksan-2-oli)</td> </tr> <tr> <td><a href="https://peda.net/p/kirin_porsti/kemia/ke2s/hjt/s-106-3-9/3-9-2-png#top" title="3-9 2.PNG"><img src="https://peda.net/p/kirin_porsti/kemia/ke2s/hjt/s-106-3-9/3-9-2-png:file/photo/95dfc98a1f2715971798025771e36b772b26dca9/3-9%202.PNG" alt="" title="3-9 2.PNG" class="inline" loading="lazy"/></a></td> <td>Esteri</td> <td><a href="https://peda.net/p/kirin_porsti/kemia/ke2s/hjt/s-106-3-9/3-9-2-1-png#top" title="3-9 2,1.PNG"><img src="https://peda.net/p/kirin_porsti/kemia/ke2s/hjt/s-106-3-9/3-9-2-1-png:file/photo/b4876b84f31de3b63874fb580832d6c09607acc5/3-9%202%2C1.PNG" alt="" title="3-9 2,1.PNG" class="inline" loading="lazy"/></a></td> <td>Etyylietanaatti<br/> (Etyyliasetaatti)</td> </tr> <tr> <td><a href="https://peda.net/p/kirin_porsti/kemia/ke2s/hjt/s-106-3-9/3-9-3-png#top" title="3-9 3.PNG"><img src="https://peda.net/p/kirin_porsti/kemia/ke2s/hjt/s-106-3-9/3-9-3-png:file/photo/90f70008b665b0c99b2e16ef53cf90ea2d8299f5/3-9%203.PNG" alt="" title="3-9 3.PNG" class="inline" loading="lazy"/></a></td> <td>Alkaani</td> <td><a href="https://peda.net/p/kirin_porsti/kemia/ke2s/hjt/s-106-3-9/3-9-3-1-png#top" title="3-9 3,1.PNG"><img src="https://peda.net/p/kirin_porsti/kemia/ke2s/hjt/s-106-3-9/3-9-3-1-png:file/photo/246da321ee510441081f1ca64cc1c533c4fb26a6/3-9%203%2C1.PNG" alt="" title="3-9 3,1.PNG" class="inline" loading="lazy"/></a></td> <td>2,3-dimetyylimentaani</td> </tr> <tr> <td><a href="https://peda.net/p/kirin_porsti/kemia/ke2s/hjt/s-106-3-9/3-9-4-png#top" title="3-9 4.PNG"><img src="https://peda.net/p/kirin_porsti/kemia/ke2s/hjt/s-106-3-9/3-9-4-png:file/photo/9fbe7377532e82d32b669770543ede47361a298b/3-9%204.PNG" alt="" title="3-9 4.PNG" class="inline" loading="lazy"/></a></td> <td>Fenoli</td> <td><a href="https://peda.net/p/kirin_porsti/kemia/ke2s/hjt/s-106-3-9/3-9-4-1-png#top" title="3-9 4,1.PNG"><img src="https://peda.net/p/kirin_porsti/kemia/ke2s/hjt/s-106-3-9/3-9-4-1-png:file/photo/897e095270cdcde909bb02729e99364a9173575f/3-9%204%2C1.PNG" alt="" title="3-9 4,1.PNG" class="inline" loading="lazy"/></a></td> <td>3-etyylifenoli</td> </tr> <tr> <td><a href="https://peda.net/p/kirin_porsti/kemia/ke2s/hjt/s-106-3-9/3-9-5-png#top" title="3-9 5.PNG"><img src="https://peda.net/p/kirin_porsti/kemia/ke2s/hjt/s-106-3-9/3-9-5-png:file/photo/92140f413f70ad5d020d97d0d3ff17570928d190/3-9%205.PNG" alt="" title="3-9 5.PNG" class="inline" loading="lazy"/></a></td> <td>Karboksyylihappo (aromaattinen)</td> <td><a href="https://peda.net/p/kirin_porsti/kemia/ke2s/hjt/s-106-3-9/3-9-5-1-png#top" title="3-9 5,1.PNG"><img src="https://peda.net/p/kirin_porsti/kemia/ke2s/hjt/s-106-3-9/3-9-5-1-png:file/photo/2fb877fee0ff415caf51dd45c66495c4f51a7ea6/3-9%205%2C1.PNG" alt="" title="3-9 5,1.PNG" class="inline" loading="lazy"/></a></td> <td>4-aminobentsoehappo</td> </tr> </tbody> </table> 2018-03-26T11:25:28+03:00 S.105 3-7 https://peda.net/id/353bf17230c 2018-03-29T09:26:59+03:00 <a href="https://peda.net/p/kirin_porsti/kemia/ke2s/hjt/s-105-3-7/3-7-png#top" title="3-7.PNG"><img src="https://peda.net/p/kirin_porsti/kemia/ke2s/hjt/s-105-3-7/3-7-png:file/photo/a5d0d94e93b03e8b484ab247e92a2a47ba39f116/3-7.PNG" alt="" title="3-7.PNG" class="inline" loading="lazy"/></a> 2018-03-26T11:25:14+03:00 S.100 3-6 https://peda.net/id/dde79ec630c 2018-04-02T17:41:05+03:00 <div>a)<br/> <br/> <img src="https://math-demo.abitti.fi/math.svg?latex=n%3D%5Cfrac%7Bm%7D%7BM%7D" alt="n=\frac{m}{M}"/><br/> <br/> </div> <span>n= Aine määrä (mol)</span> <div>m= Massa (g)</div> <div>M= Moolimassa (g/mol)</div> <div> </div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=1C%3D1CO_2" alt="1C=1CO_2"/></div> <img src="https://math-demo.abitti.fi/math.svg?latex=2H%3D1H_2O" alt="2H=1H_2O"/> <div><img src="https://math-demo.abitti.fi/math.svg?latex=1O%3DH_2O" alt="1O=H_2O"/><br/> <div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=n%5Cleft(C%5Cright)%3Dn%5Cleft(CO_2%5Cright)%3D%5Cfrac%7B0%7B%2C%7D2829g%7D%7B%5Cleft(12%7B%2C%7D01%2B2%5Ccdot16%7B%2C%7D00%5Cright)%5Cfrac%7Bg%7D%7Bmol%7D%7D%3D0%7B%2C%7D006428...mol" alt="n\left(C\right)=n\left(CO_2\right)=\frac{0{,}2829g}{\left(12{,}01+2\cdot16{,}00\right)\frac{g}{mol}}=0{,}006428...mol"/></div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=n%5Cleft(H%5Cright)%3D2%5Ccdot%20n%5Cleft(H_2O%5Cright)%3D2%5Ccdot%5Cfrac%7B0%7B%2C%7D1159g%7D%7B%5Cleft(2%5Ccdot1%7B%2C%7D008%2B16%7B%2C%7D00%5Cright)%5Cfrac%7Bg%7D%7Bmol%7D%7D%3D0%7B%2C%7D012866...mol" alt="n\left(H\right)=2\cdot n\left(H_2O\right)=2\cdot\frac{0{,}1159g}{\left(2\cdot1{,}008+16{,}00\right)\frac{g}{mol}}=0{,}012866...mol"/></div> <div> </div> <div>Lasketaan palaneessa yhdisteessä ollen hiilen ja vedyn massat</div> <div> </div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=m%5Cleft(C%5Cright)%3D0%7B%2C%7D006428...mol%5Ccdot12%7B%2C%7D01%5Cfrac%7Bg%7D%7Bmol%7D%3D0%7B%2C%7D07720028g" alt="m\left(C\right)=0{,}006428...mol\cdot12{,}01\frac{g}{mol}=0{,}07720028g"/></div> <img src="https://math-demo.abitti.fi/math.svg?latex=m%5Cleft(H%5Cright)%3D0%7B%2C%7D012866...mol%5Ccdot1%7B%2C%7D008%5Cfrac%7Bg%7D%7Bmol%7D%5Capprox0%7B%2C%7D012968928g" alt="m\left(H\right)=0{,}012866...mol\cdot1{,}008\frac{g}{mol}\approx0{,}012968928g"/></div> <div><br/> <div>Hapen massa</div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=m%5Cleft(O%5Cright)%3D0%7B%2C%7D1005g-%5Cleft(%5Cleft(0%7B%2C%7D0006428...mol%5Ccdot12%7B%2C%7D01%5Cfrac%7Bg%7D%7Bmol%7D%5Cright)%2B%5Cleft(0%7B%2C%7D012866...mol%5Ccdot1%7B%2C%7D008%5Cfrac%7Bg%7D%7Bmol%7D%5Cright)%5Cright)%5Capprox0%7B%2C%7D0102328g" alt="m\left(O\right)=0{,}1005g-\left(\left(0{,}0006428...mol\cdot12{,}01\frac{g}{mol}\right)+\left(0{,}012866...mol\cdot1{,}008\frac{g}{mol}\right)\right)\approx0{,}0102328g"/>  </div> Hapen ainemäärä</div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=n%5Cleft(O%5Cright)%3D%5Cfrac%7B0%7B%2C%7D0102328g%7D%7B16%7B%2C%7D00%5Cfrac%7Bg%7D%7Bmol%7D%7D%3D0%7B%2C%7D00063955...mol" alt="n\left(O\right)=\frac{0{,}0102328g}{16{,}00\frac{g}{mol}}=0{,}00063955...mol"/></div> <div>Lasketaan hiilen, vedyn sekä hapen ainemäärien suhde</div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=%5Cfrac%7Bn%5Cleft(C%5Cright)%7D%7Bn%5Cleft(O%5Cright)%7D%3D%5Cfrac%7B0%7B%2C%7D006428...mol%7D%7B0%7B%2C%7D00063955...mol%7D%5Capprox10" alt="\frac{n\left(C\right)}{n\left(O\right)}=\frac{0{,}006428...mol}{0{,}00063955...mol}\approx10"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%5Cfrac%7Bn%5Cleft(H%5Cright)%7D%7Bn%5Cleft(O%5Cright)%7D%3D%5Cfrac%7B0%7B%2C%7D012866...mol%7D%7B0%7B%2C%7D00063955...mol%7D%5Capprox20" alt="\frac{n\left(H\right)}{n\left(O\right)}=\frac{0{,}012866...mol}{0{,}00063955...mol}\approx20"/></div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=%5Cfrac%7Bn%5Cleft(O%5Cright)%7D%7Bn%5Cleft(O%5Cright)%7D%3D1" alt="\frac{n\left(O\right)}{n\left(O\right)}=1"/></div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=C%3AH%3AO%5Capprox10%3A20%3A1%3D%5Cleft(C_%7B10%7DH_%7B20%7DO%5Cright)_x" alt="C:H:O\approx10:20:1=\left(C_{10}H_{20}O\right)_x"/><br/> <br/> b)<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=x%5Ccdot%5Cleft(10%5Ccdot12%7B%2C%7D01%2B20%5Ccdot1%7B%2C%7D008%2B16%7B%2C%7D00%5Cright)%5Cfrac%7Bg%7D%7Bmol%7D%3D156%5Cfrac%7Bg%7D%7Bmol%7D" alt="x\cdot\left(10\cdot12{,}01+20\cdot1{,}008+16{,}00\right)\frac{g}{mol}=156\frac{g}{mol}"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=x%3D0%7B%2C%7D9983%5Capprox1" alt="x=0{,}9983\approx1"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=Molekyylikaava%5C%20on%3A%5C%20C_%7B10%7DH_%7B20%7DO" alt="Molekyylikaava\ on:\ C_{10}H_{20}O"/></div> </div> 2018-03-26T11:22:47+03:00 S.100 3-4 https://peda.net/id/d8a15b1e30c 2018-03-29T09:05:14+03:00 <div><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=1C%3D1CO_2" alt="1C=1CO_2"/></div> <img src="https://math-demo.abitti.fi/math.svg?latex=2H%3D1H_2O" alt="2H=1H_2O"/><br/> <div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=n%5Cleft(C%5Cright)%3Dn%5Cleft(CO_2%5Cright)%3D%5Cfrac%7B0%7B%2C%7D228g%7D%7B%5Cleft(12%7B%2C%7D01%2B2%5Ccdot16%7B%2C%7D00%5Cright)%5Cfrac%7Bg%7D%7Bmol%7D%7D%3D0%7B%2C%7D0051806...mol" alt="n\left(C\right)=n\left(CO_2\right)=\frac{0{,}228g}{\left(12{,}01+2\cdot16{,}00\right)\frac{g}{mol}}=0{,}0051806...mol"/></div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=n%5Cleft(H%5Cright)%3D2%5Ccdot%20n%5Cleft(H_2O%5Cright)%3D2%5Ccdot%5Cfrac%7B0%7B%2C%7D0931g%7D%7B%5Cleft(2%5Ccdot1%7B%2C%7D008%2B16%7B%2C%7D00%5Cright)%5Cfrac%7Bg%7D%7Bmol%7D%7D%3D0%7B%2C%7D010335...mol" alt="n\left(H\right)=2\cdot n\left(H_2O\right)=2\cdot\frac{0{,}0931g}{\left(2\cdot1{,}008+16{,}00\right)\frac{g}{mol}}=0{,}010335...mol"/></div> <div>Lasketaan palaneessa yhdisteessä ollen hiilen ja vedyn massat</div> <div> </div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=m%5Cleft(C%5Cright)%3D0%7B%2C%7D005180...mol%5Ccdot12%7B%2C%7D01%5Cfrac%7Bg%7D%7Bmol%7D%5Capprox0%7B%2C%7D0622195g" alt="m\left(C\right)=0{,}005180...mol\cdot12{,}01\frac{g}{mol}\approx0{,}0622195g"/></div> <img src="https://math-demo.abitti.fi/math.svg?latex=m%5Cleft(H%5Cright)%3D0%7B%2C%7D010335...mol%5Ccdot1%7B%2C%7D008%5Cfrac%7Bg%7D%7Bmol%7D%5Capprox0%7B%2C%7D0104179g" alt="m\left(H\right)=0{,}010335...mol\cdot1{,}008\frac{g}{mol}\approx0{,}0104179g"/><br/> <div>Hapen massa</div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=m%5Cleft(O%5Cright)%3D0%7B%2C%7D100g-0%7B%2C%7D0622195g-0%7B%2C%7D0104179g%3D0%7B%2C%7D0273626g" alt="m\left(O\right)=0{,}100g-0{,}0622195g-0{,}0104179g=0{,}0273626g"/></div> Hapen ainemäärä</div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=n%5Cleft(O%5Cright)%3D%5Cfrac%7B0%7B%2C%7D0273626g%7D%7B16%7B%2C%7D00%5Cfrac%7Bg%7D%7Bmol%7D%7D%3D0%7B%2C%7D00171016...mol" alt="n\left(O\right)=\frac{0{,}0273626g}{16{,}00\frac{g}{mol}}=0{,}00171016...mol"/></div> <div>Lasketaan hiilen, vedyn sekä hapen ainemäärien suhde</div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=%5Cfrac%7Bn%5Cleft(C%5Cright)%7D%7Bn%5Cleft(O%5Cright)%7D%5Capprox3" alt="\frac{n\left(C\right)}{n\left(O\right)}\approx3"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%5Cfrac%7Bn%5Cleft(H%5Cright)%7D%7Bn%5Cleft(O%5Cright)%7D%5Capprox6" alt="\frac{n\left(H\right)}{n\left(O\right)}\approx6"/></div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=%5Cfrac%7Bn%5Cleft(O%5Cright)%7D%7Bn%5Cleft(O%5Cright)%7D%3D1" alt="\frac{n\left(O\right)}{n\left(O\right)}=1"/></div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=C%3AH%3AO%5Capprox3%3A6%3A1%3D%5Cleft(C_3H_6O%5Cright)_x" alt="C:H:O\approx3:6:1=\left(C_3H_6O\right)_x"/><br/> <br/> </div> 2018-03-26T11:22:39+03:00 S.100 3-3 https://peda.net/id/d1927d6230c 2018-03-26T12:17:53+03:00 <img src="https://math-demo.abitti.fi/math.svg?latex=n%5Cleft(C%5Cright)%3D%5Cfrac%7B3%7B%2C%7D758g%7D%7B5%7B%2C%7D325g%7D%3D0%7B%2C%7D7057...%5Capprox0%7B%2C%7D7057%3D70%7B%2C%7D57%5C%25" alt="n\left(C\right)=\frac{3{,}758g}{5{,}325g}=0{,}7057...\approx0{,}7057=70{,}57\%"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=n%5Cleft(H%5Cright)%3D%5Cfrac%7B0%7B%2C%7D316g%7D%7B5%7B%2C%7D325g%7D%3D0%7B%2C%7D05934...%5Capprox0%7B%2C%7D05934%3D5%7B%2C%7D934%5C%25" alt="n\left(H\right)=\frac{0{,}316g}{5{,}325g}=0{,}05934...\approx0{,}05934=5{,}934\%"/> <div><img src="https://math-demo.abitti.fi/math.svg?latex=n%5Cleft(O%5Cright)%3D%5Cfrac%7B1%7B%2C%7D251g%7D%7B5%7B%2C%7D325g%7D%3D0%7B%2C%7D2112...%5Capprox0%7B%2C%7D2112%3D21%7B%2C%7D12%5C%25" alt="n\left(O\right)=\frac{1{,}251g}{5{,}325g}=0{,}2112...\approx0{,}2112=21{,}12\%"/></div> <span> Valitaan yhdisteen massaksi 100g, jolloin: </span><br/> <div><img src="https://math-demo.abitti.fi/math.svg?latex=n%5Cleft(C%5Cright)%3D%5Cfrac%7B70%7B%2C%7D57g%7D%7B12%7B%2C%7D01%5Cfrac%7Bg%7D%7Bmol%7D%7D%3D5%7B%2C%7D87593...%5Capprox5%7B%2C%7D879mol" alt="n\left(C\right)=\frac{70{,}57g}{12{,}01\frac{g}{mol}}=5{,}87593...\approx5{,}879mol"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=n%5Cleft(H%5Cright)%3D%5Cfrac%7B5%7B%2C%7D934g%7D%7B1%7B%2C%7D008g%5Cfrac%7Bg%7D%7Bmol%7D%7D%3D5%7B%2C%7D8869...%5Capprox5%7B%2C%7D8869mol" alt="n\left(H\right)=\frac{5{,}934g}{1{,}008g\frac{g}{mol}}=5{,}8869...\approx5{,}8869mol"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=n%5Cleft(O%5Cright)%3D%5Cfrac%7B21%7B%2C%7D12g%7D%7B16%7B%2C%7D00%5Cfrac%7Bg%7D%7Bmol%7D%7D%3D1%7B%2C%7D32mol" alt="n\left(O\right)=\frac{21{,}12g}{16{,}00\frac{g}{mol}}=1{,}32mol"/></div> <div> Jaetaan kukin ainemäärä pienimmällä eli tässä tapauksessa hapen ainemäärällä  </div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=%5Cfrac%7Bn%5Cleft(C%5Cright)%7D%7Bn%5Cleft(H%5Cright)%7D%3D%5Cfrac%7B5%7B%2C%7D879mol%7D%7B1%7B%2C%7D32mol%7D%3D4%7B%2C%7D4537%5Capprox4" alt="\frac{n\left(C\right)}{n\left(H\right)}=\frac{5{,}879mol}{1{,}32mol}=4{,}4537\approx4"/></div> <img src="https://math-demo.abitti.fi/math.svg?latex=%5Cfrac%7Bn%5Cleft(H%5Cright)%7D%7Bn%5Cleft(O%5Cright)%7D%3D%5Cfrac%7B5%7B%2C%7D8869mol%7D%7B1%7B%2C%7D32mol%7D%3D4%7B%2C%7D459%5Capprox4" alt="\frac{n\left(H\right)}{n\left(O\right)}=\frac{5{,}8869mol}{1{,}32mol}=4{,}459\approx4"/><br/> <div><img src="https://math-demo.abitti.fi/math.svg?latex=%5Cfrac%7Bn%5Cleft(O%5Cright)%7D%7Bn%5Cleft(O%5Cright)%7D%3D1" alt="\frac{n\left(O\right)}{n\left(O\right)}=1"/></div> <span>Ainemäärien suhde:  </span><br/> <div>4:4:1</div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=%5Cleft(C_4H_4O%5Cright)_x" alt="\left(C_4H_4O\right)_x"/></div> 2018-03-26T11:22:27+03:00 S.100 3-1 https://peda.net/id/c352378830c 2018-03-26T11:34:05+03:00 a)<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=C_6H_%7B12%7DO_6%5C%20%5C%20%5C%20%5C%20%5C%20%5Cleft(CH_2O%5Cright)" alt="C_6H_{12}O_6\ \ \ \ \ \left(CH_2O\right)"/><br/> b)<br/> <div><img src="https://math-demo.abitti.fi/math.svg?latex=C_8H_%7B18%7D%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5Cleft(C_4H_9%5Cright)" alt="C_8H_{18}\ \ \ \ \ \ \left(C_4H_9\right)"/><br/> c)<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=C_6H_6O%5C%20%5C%20%5C%20%5C%20%5C%20%5Cleft(C_6H_6O%5Cright)" alt="C_6H_6O\ \ \ \ \ \left(C_6H_6O\right)"/><br/> d)</div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=C_8H_%7B10%7DO_2N_4%5C%20%5C%20%5C%20%5C%20%5C%20%5Cleft(C_4H_5ON_2%5Cright)" alt="C_8H_{10}O_2N_4\ \ \ \ \ \left(C_4H_5ON_2\right)"/><br/> e)<br/> <div><img src="https://math-demo.abitti.fi/math.svg?latex=C_7H_%7B14%7D%5C%20%5C%20%5C%20%5C%20%5C%20%5Cleft(CH_2%5Cright)" alt="C_7H_{14}\ \ \ \ \ \left(CH_2\right)"/><br/> f)</div> <img src="https://math-demo.abitti.fi/math.svg?latex=C_8H_%7B18%7D%5C%20%5C%20%5C%20%5C%20%5C%20%5Cleft(C_4H_9%5Cright)" alt="C_8H_{18}\ \ \ \ \ \left(C_4H_9\right)"/></div> 2018-03-26T11:22:03+03:00 S.87 2-37 https://peda.net/id/aab26ca22e7 2018-03-26T10:23:00+03:00 Koska C-vitamiinilla on lyhyempi hiilikejtu kuin A:lla, A:n pitkä hiilikeju vaikeutta sen liukenemista veteen, ja C- vitamiini on myös selvästi poolisempi kuin A. 2018-03-23T11:22:11+02:00 S.87 3-36 https://peda.net/id/a25987ca2e7 2018-03-23T12:08:42+02:00 A 6, 8<br/> B 2, 8<br/> C 3, 7<br/> D 4, 8<br/> E 8<br/> F 5, 8<br/> G 1, 8 2018-03-23T11:21:57+02:00 S.86 2-33 https://peda.net/id/9b95a23e2e7 2018-03-23T12:07:02+02:00 a) CHO ryhmällä on heikompia dipoli-dipolisidoksia, joiden katkeamiseen tarvitaan vähemmän lämpöenergiaa.<br/> b) -<br/> c) Koska steariinihapolla on aika pitkä pooliton hiiliketju, ja se selitää aika hyvin kyseistä ilmiötä.<br/> d) OH ryhmä on poolisempi, siksi se on huonelämpötilassa nestemuotossa. 2018-03-23T11:21:46+02:00 S.85 2-30 https://peda.net/id/940c72902e7 2018-03-23T11:35:01+02:00 a) Kun vesi ja etanoli sekoitetaan, molekyylien välille muodostuu vetysidoksia, joiden vaikutuksesta etanolimolekyylit pakkaantuvat tiiviiisti vesimolekyylien väliin ja liuoksen kokoaistilavuus pienenee.<br/> b) Glyserolimolekyylissä on kolme poolista hydroksyyliryhmääm joiden kautta se voi muodostaa useampia vetysidoksia toisiin glyserolimolekyyleihin kuin yksiarvoinen etanoli. Suuri vertysidosten määrä glyserolimolekyylien välillä selittää glyserolin jäykkäliikkeisyyden etanoliin verrattuna. 2018-03-23T11:21:33+02:00 S.85 2-28 https://peda.net/id/876c47722e7 2018-03-23T11:30:09+02:00 Metanoli: Auton tuulilasin pesunesteessä<br/> Etanoli: Desifiointiaineena liuottimena parfyymeissä ja partavesissä.<br/> Glyseroli: Kosteudensitojana voiteissa ja hammastahnoissa.<br/> Glykoli: Auton jäähdytinnesteessä spriii.keittimessä palavana aineena. 2018-03-23T11:21:12+02:00 S.85 2-27 https://peda.net/id/82d9ed402e7 2018-03-23T11:26:04+02:00 <ul> <li>Sekä alkoholien että alkaanien kiehumispiste nousee, kun hiiliatomien määrä kasvaa.</li> <li>Alkoholeilla kiehumispisteen nousu on suoraan verrannollinen hiiliatomien lukumäärää</li> </ul> 2018-03-23T11:21:04+02:00 S.85 2-24 https://peda.net/id/7c35d0262e7 2018-03-23T11:22:56+02:00 <a href="https://peda.net/p/kirin_porsti/kemia/ke2s/hjt/s-85-2-24/2-24-png#top" title="2-24.PNG"><img src="https://peda.net/p/kirin_porsti/kemia/ke2s/hjt/s-85-2-24/2-24-png:file/photo/7765ccdd16005c6f3b17d2e443490bd5c152901f/2-24.PNG" alt="" title="2-24.PNG" class="inline" loading="lazy"/></a><br/> 5: 35,5°C 2018-03-23T11:20:53+02:00 S.73 2-21 https://peda.net/id/be0236ca2da 2018-03-22T12:21:22+02:00 a) 2-buteeni (but-2-eeni)<br/> b) heptaani<br/> c) 2,2difluoributaani<br/> d) 3-etyyliheksaani <br/> e) Etyylimetyyliamiini<br/> f) 2-aminoetaanihappo<br/> g) Metyylisyklopentaani<br/> h) Etaanihapon metyyliesteri (metyylietanaatti)<br/> i) 3-nitrofenoli<br/> j) Etyylimetyylieetteri 2018-03-22T09:43:42+02:00 S.72 2-20 https://peda.net/id/b0aeff762da 2018-03-22T12:19:07+02:00 A 6<br/> B 9<br/> C 5<br/> D 8<br/> E 2<br/> F 1<br/> G 11<br/> H 16<br/> I 15<br/> J 13 2018-03-22T09:43:19+02:00 S.72 2-16 https://peda.net/id/ab84961e2da 2018-03-22T12:11:49+02:00 a) Aromaattinen yhdiste, karboksyylihappo, esteri<br/> b) Aromaattinen yhdiste, karboksyylihappo<br/> c) Parasetamoli: fenoli, amidi 2018-03-22T09:43:10+02:00 S.72 2-15 https://peda.net/id/a50a4e962da 2018-03-22T12:09:57+02:00 a,d,f koska kaikissa näissä molekyyleissä on funktinaalisena ryhmänä -OH-ryhmä eli ne ovat kaikki alkoholeja.<br/> b,e,g Ne ovat kaikki hiilivetyjä.<br/> c,h koska näissä on funktionaalisena ryhmänä eetteriryhmä eli ne ovat eettereitä. 2018-03-22T09:43:00+02:00 S.72 2-13 https://peda.net/id/9e586b8c2da 2018-03-22T12:05:57+02:00 A Kaksoissidos-Alkeeni <br/> B Kertoryhmä/Karbonyyliryhmä-Ketoni<br/> C Eetteri-Eetteri<br/> D Bentsenirengas-Aromaattinen (Hiilivety)<br/> E Aminoryhmä-Amiini<br/> F Bentseenirengas ja karboksyyliryhmä - Aromaattinen karboksyylihappo<br/> G Fenolinen hydroksyyliryhmä (hydroksyyliryhmä kiinni bentseenirenkaassa)-Fenoli<br/> H Koloissidos-Alkyyni<br/> I Esteri-Esteri<br/> J Aminoryhmä ja karboksyyliryhmä-Aminohappo 2018-03-22T09:42:48+02:00 S.71 2-12 https://peda.net/id/95cec97a2da 2018-03-22T09:50:37+02:00 1. Alkyyni C<br/> 2. Ketoni E<br/> 3. Esteri B<br/> 4. <span> Eetteri G</span><br/> 5. <span>Amiini A</span><br/> 6. Aldehydi F<br/> 7. Amidi D 2018-03-22T09:42:34+02:00 S. 62 2-10 https://peda.net/id/370d992a2b6 2018-03-19T12:28:07+02:00 b) 2018-03-19T12:28:07+02:00 S. 62 2-11 https://peda.net/id/a9deb3d62b5 2018-03-19T12:25:49+02:00 a)<br/> <ul> <li>Heterosyklisessä yhdisteissä on rengasrakenne, jossa on hiliatomien lisäksi myös muita alkuaineatomeja, ja aromaattisessä yhdisteissä on useampia rengasrakenteita.</li> <li>Nikotiinissä on hiilen lisäksi myös vedyn ja typen atomit, ja sillä on samalla useampia rengaita.</li> </ul> <br/> b)<br/> <a href="https://peda.net/p/kirin_porsti/kemia/ke2s/hjt/s-62-2-11/nikotiini-png#top" title="Nikotiini.PNG"><img src="https://peda.net/p/kirin_porsti/kemia/ke2s/hjt/s-62-2-11/nikotiini-png:file/photo/151efcdcd16dfbb801c48349ede0869adc646f70/Nikotiini.PNG" alt="" title="Nikotiini.PNG" class="inline" loading="lazy"/></a><br/> c)<br/> <div> <div><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=n%3D%5Cfrac%7Bm%7D%7BM%7D" alt="n=\frac{m}{M}"/><br/> <br/> </div> <span>n= Aine määrä (mol)</span> <div>m= Massa (g)</div> <span>M= Moolimassa (g/mol)</span> <div> </div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=m%5Cleft(C_%7B10%7DH_%7B14%7DN_2%5Cright)%3D0%7B%2C%7D06g" alt="m\left(C_{10}H_{14}N_2\right)=0{,}06g"/></div> <img src="https://math-demo.abitti.fi/math.svg?latex=M%5Cleft(C_%7B10%7DH_%7B14%7DN_2%5Cright)%3D162%7B%2C%7D23%5Cfrac%7Bg%7D%7Bmol%7D" alt="M\left(C_{10}H_{14}N_2\right)=162{,}23\frac{g}{mol}"/> <div><img src="https://math-demo.abitti.fi/math.svg?latex=n%5Cleft(C_%7B10%7DH_%7B14%7DN_2%5Cright)%3D%5Cfrac%7B0%7B%2C%7D06g%7D%7B162%7B%2C%7D23%5Cfrac%7Bg%7D%7Bmol%7D%7D%3D3%7B%2C%7D698%5Ccdot10%5E%7B-4%7Dmol" alt="n\left(C_{10}H_{14}N_2\right)=\frac{0{,}06g}{162{,}23\frac{g}{mol}}=3{,}698\cdot10^{-4}mol"/><br/> <div> </div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=n%3D%5Cfrac%7BN%7D%7BN_A%7D%5C%20%3C%3D%3E%5C%20N%3DnN_A" alt="n=\frac{N}{N_A}\ &lt;=&gt;\ N=nN_A"/><!--filtered attribute: style="max-width: 100%; max-height: 1000px; vertical-align: middle; margin: 4px; padding: 3px 10px; cursor: pointer; border: 1px solid #e6f2f8; background: #edf9ff;"-->  </div> </div> <div> </div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=N%3DnN_A%3D3%7B%2C%7D698%5Ccdot10%5E%7B-4%7Dmol%5Ccdot6%7B%2C%7D022%5Ccdot10%5E%7B23%7D%3D2%7B%2C%7D228%5Ccdot10%5E%7B20%7D%5Capprox2%7B%2C%7D2%5Ccdot10%5E%7B22%7D" alt="N=nN_A=3{,}698\cdot10^{-4}mol\cdot6{,}022\cdot10^{23}=2{,}228\cdot10^{20}\approx2{,}2\cdot10^{22}"/></div> </div> 2018-03-19T11:12:35+02:00 S.62 2-9 https://peda.net/id/a232bc042b5 2018-03-19T11:21:49+02:00 A 5,7<br/> B 1,4<br/> C 2,3 <br/> D 2,6<br/> E 2,3<br/> F 1,4<br/> G 5,7<br/> H 2,3 tai 1,4 2018-03-19T11:12:22+02:00 S.62 2-8 https://peda.net/id/996b3f4c2b5 2018-03-19T11:18:42+02:00 a)<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=16%5Csigma" alt="16\sigma"/>-sidosta<br/> b)<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=13%5Csigma" alt="13\sigma"/>-sidosta ja 1<img src="https://math-demo.abitti.fi/math.svg?latex=%5Cpi" alt="\pi"/>-sidos<br/> c)<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=5%5Csigma" alt="5\sigma"/>-sidosta ja <img src="https://math-demo.abitti.fi/math.svg?latex=2%5Cpi" alt="2\pi"/>-sidosta<br/> d)<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=18%5Csigma" alt="18\sigma"/>-sidosta ja <img src="https://math-demo.abitti.fi/math.svg?latex=3%5Cpi" alt="3\pi"/>-sidosta<br/> c)<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=13%5Csigma" alt="13\sigma"/>-sidosta ja <img src="https://math-demo.abitti.fi/math.svg?latex=1%5Cpi" alt="1\pi"/>-sidos 2018-03-19T11:12:08+02:00 S.56 2-7 https://peda.net/id/0560b17c290 2018-03-16T12:23:08+02:00 a)<br/> Sublimoituminen on fysiikassa<span> </span>olomuodonmuutos suoraan<span> </span>kiinteästä<span> </span>kaasuksi<span> </span>ilman<span> </span>nestemäistä<span> </span>välitilaa.<br/> b)<br/> Polysykliset aromaattiset hiilivedyt<span><span> </span>eli<span> </span></span>PAH-yhdisteet<span> </span><span>ovat yhteen liittyneistä<span> </span></span>aromaattisista<span>renkaista koostuvia<span> </span></span>hiilivetyjä<span>.<br/> </span>c)<br/> <div> <div><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=n%3D%5Cfrac%7Bm%7D%7BM%7D" alt="n=\frac{m}{M}"/><br/> <br/> </div> n= Aine määrä (mol) <div>m= Massa (g)</div> <div>M= Moolimassa (g/mol)</div> </div> <div> </div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=m%5Cleft(C_%7B10%7DH_8%5Cright)%3D1%7B%2C%7D0g" alt="m\left(C_{10}H_8\right)=1{,}0g"/></div> <img src="https://math-demo.abitti.fi/math.svg?latex=M%5Cleft(C_%7B10%7DH_8%5Cright)%3D128%7B%2C%7D1705%5Cfrac%7Bg%7D%7Bmol%7D" alt="M\left(C_{10}H_8\right)=128{,}1705\frac{g}{mol}"/> <div><img src="https://math-demo.abitti.fi/math.svg?latex=n%5Cleft(C_%7B10%7DH_8%5Cright)%3D%5Cfrac%7Bm%7D%7BM%7D%3D%5Cfrac%7B1%7B%2C%7D0g%7D%7B128%7B%2C%7D1705%5Cfrac%7Bg%7D%7Bmol%7D%7D%3D7%7B%2C%7D802%5Ccdot10%5E%7B-3%7Dmol" alt="n\left(C_{10}H_8\right)=\frac{m}{M}=\frac{1{,}0g}{128{,}1705\frac{g}{mol}}=7{,}802\cdot10^{-3}mol"/><br/> d)<br/> <div> <div><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=n%3D%5Cfrac%7Bm%7D%7BM%7D" alt="n=\frac{m}{M}"/><br/> <br/> </div> n= Aine määrä (mol) <div>m= Massa (g)</div> <div>M= Moolimassa (g/mol)</div> </div> <div> </div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=m%5Cleft(C_%7B10%7DH_8%5Cright)%3D100mg%3D0%7B%2C%7D100g" alt="m\left(C_{10}H_8\right)=100mg=0{,}100g"/></div> <img src="https://math-demo.abitti.fi/math.svg?latex=M%5Cleft(C_%7B10%7DH_8%5Cright)%3D128%7B%2C%7D1705%5Cfrac%7Bg%7D%7Bmol%7D" alt="M\left(C_{10}H_8\right)=128{,}1705\frac{g}{mol}"/> <div><img src="https://math-demo.abitti.fi/math.svg?latex=n%5Cleft(C_%7B10%7DH_8%5Cright)%3D%5Cfrac%7Bm%7D%7BM%7D%3D%5Cfrac%7B0%7B%2C%7D100g%7D%7B128%7B%2C%7D1705%5Cfrac%7Bg%7D%7Bmol%7D%7D%3D7%7B%2C%7D802%5Ccdot10%5E%7B-4%7Dmol" alt="n\left(C_{10}H_8\right)=\frac{m}{M}=\frac{0{,}100g}{128{,}1705\frac{g}{mol}}=7{,}802\cdot10^{-4}mol"/></div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=n%3D%5Cfrac%7BN%7D%7BN_A%7D%5C%20%3C%3D%3E%5C%20N%3DnN_A" alt="n=\frac{N}{N_A}\ &lt;=&gt;\ N=nN_A"/><!--filtered attribute: style="max-width: 100%; max-height: 1000px; vertical-align: middle; margin: 4px; padding: 3px 10px; cursor: pointer; border: 1px solid #e6f2f8; background: #edf9ff;"--> </div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=N%5Cleft(C_%7B10%7DH_8%5Cright)%3DnN_A%3D7%7B%2C%7D802%5Ccdot10%5E%7B-4%7Dmol%5Ccdot6%7B%2C%7D022%5Ccdot10%5E%7B%5E%7B23%7D%7D%3D4%7B%2C%7D698%5Ccdot10%5E%7B20%7D" alt="N\left(C_{10}H_8\right)=nN_A=7{,}802\cdot10^{-4}mol\cdot6{,}022\cdot10^{^{23}}=4{,}698\cdot10^{20}"/></div> <img src="https://math-demo.abitti.fi/math.svg?latex=%5Cfrac%7B4%7B%2C%7D698%5Ccdot10%5E%7B20%7D%7D%7B30m%5E3%7D%3D1%7B%2C%7D566%5Ccdot10%5E%7B19%7D" alt="\frac{4{,}698\cdot10^{20}}{30m^3}=1{,}566\cdot10^{19}"/> <div> </div> <br/> <br/> </div> 2018-03-16T12:23:08+02:00 S.56 2-5 https://peda.net/id/c177888228f 2018-03-16T11:43:04+02:00 a)<br/> <table> <tbody> <tr> <td>Sidos</td> <td>Sidospitus (pm)</td> <td>Sidosenergia (kJ/mol)</td> </tr> <tr> <td><a href="https://peda.net/p/kirin_porsti/kemia/ke2s/hjt/s-56-2-5/2-5-1-png#top" title="2.5 1.PNG"><img src="https://peda.net/p/kirin_porsti/kemia/ke2s/hjt/s-56-2-5/2-5-1-png:file/photo/bc09ebf92f5cd60e96838cc149f850f13365805b/2.5%201.PNG" alt="" title="2.5 1.PNG" class="inline" loading="lazy"/></a></td> <td>154</td> <td>348</td> </tr> <tr> <td><a href="https://peda.net/p/kirin_porsti/kemia/ke2s/hjt/s-56-2-5/2-5-2-png#top" title="2.5 2.PNG"><img src="https://peda.net/p/kirin_porsti/kemia/ke2s/hjt/s-56-2-5/2-5-2-png:file/photo/5adc664f8a4699a22e5378808e54fd58a1e20d66/2.5%202.PNG" alt="" title="2.5 2.PNG" class="inline" loading="lazy"/></a></td> <td>134</td> <td>612</td> </tr> <tr> <td><a href="https://peda.net/p/kirin_porsti/kemia/ke2s/hjt/s-56-2-5/2-5-3-png#top" title="2.5 3.PNG"><img src="https://peda.net/p/kirin_porsti/kemia/ke2s/hjt/s-56-2-5/2-5-3-png:file/photo/f5d77fc9e9b1d4bd987b1cf77c7d621fe5183c0d/2.5%203.PNG" alt="" title="2.5 3.PNG" class="inline" loading="lazy"/></a></td> <td>120</td> <td>837</td> </tr> <tr> <td><a href="https://peda.net/p/kirin_porsti/kemia/ke2s/hjt/s-56-2-5/2-5-1-png2#top" title="2.5 1.PNG"><img src="https://peda.net/p/kirin_porsti/kemia/ke2s/hjt/s-56-2-5/2-5-1-png2:file/photo/bc09ebf92f5cd60e96838cc149f850f13365805b/2.5%201.PNG" alt="" title="2.5 1.PNG" class="inline" loading="lazy"/></a><br/> (Bentseeni)</td> <td>139</td> <td>518</td> </tr> </tbody> </table> 2018-03-16T11:09:39+02:00 S.55 2-4 https://peda.net/id/ba553dd828f 2018-03-16T11:34:39+02:00 a) <br/> B, C<sub>7</sub>O<sub>14</sub><br/> b)<br/> C, C<sub>9</sub>H<sub>20</sub><br/> c)<br/> A, C<sub>8</sub>H<sub>10</sub><br/> d)<br/> E, C<sub>20</sub>H<sub>12</sub><br/> e)<br/> D, C<sub>5</sub>H<sub>9</sub>O<sub>2</sub>N<br/> <br/> 2018-03-16T11:09:27+02:00 S.55 2-2 https://peda.net/id/b451ece228f 2018-03-16T11:27:46+02:00 a) <br/> <a href="https://peda.net/p/kirin_porsti/kemia/ke2s/hjt/s-55-2-2/2-2-a-png#top" title="2.2 a.PNG"><img src="https://peda.net/p/kirin_porsti/kemia/ke2s/hjt/s-55-2-2/2-2-a-png:file/photo/64790047bbae04f4f95daa3e8dfcfaaf8b0da4c5/2.2%20a.PNG" alt="" title="2.2 a.PNG" class="inline" loading="lazy"/></a><br/> b) <br/> <a href="https://peda.net/p/kirin_porsti/kemia/ke2s/hjt/s-55-2-2/2-2-b-png#top" title="2.2 b.PNG"><img src="https://peda.net/p/kirin_porsti/kemia/ke2s/hjt/s-55-2-2/2-2-b-png:file/photo/80a7f57d1f4be8ef9e23fb50ed9a8d194b145837/2.2%20b.PNG" alt="" title="2.2 b.PNG" class="inline" loading="lazy"/></a><br/> c)<br/> <a href="https://peda.net/p/kirin_porsti/kemia/ke2s/hjt/s-55-2-2/2-2-c-png#top" title="2.2 c.PNG"><img src="https://peda.net/p/kirin_porsti/kemia/ke2s/hjt/s-55-2-2/2-2-c-png:file/photo/076cc71b102fbda4a7879275bf1a4622b554aec1/2.2%20c.PNG" alt="" title="2.2 c.PNG" class="inline" loading="lazy"/></a><br/> d)<br/> <a href="https://peda.net/p/kirin_porsti/kemia/ke2s/hjt/s-55-2-2/2-2-d-png#top" title="2.2 d.PNG"><img src="https://peda.net/p/kirin_porsti/kemia/ke2s/hjt/s-55-2-2/2-2-d-png:file/photo/9e3b260a2a0a021aa99b86889dab3c5e5633eb53/2.2%20d.PNG" alt="" title="2.2 d.PNG" class="inline" loading="lazy"/></a><br/> e)<br/> <a href="https://peda.net/p/kirin_porsti/kemia/ke2s/hjt/s-55-2-2/2-2-e-png#top" title="2.2 e.PNG"><img src="https://peda.net/p/kirin_porsti/kemia/ke2s/hjt/s-55-2-2/2-2-e-png:file/photo/8541932eb17a9c562854ad9f260539f3e39bccc8/2.2%20e.PNG" alt="" title="2.2 e.PNG" class="inline" loading="lazy"/></a><br/> f)<br/> <a href="https://peda.net/p/kirin_porsti/kemia/ke2s/hjt/s-55-2-2/2-2-f-png#top" title="2.2 f.PNG"><img src="https://peda.net/p/kirin_porsti/kemia/ke2s/hjt/s-55-2-2/2-2-f-png:file/photo/712901093c1657f8250bb30dbc0b024af330d7eb/2.2%20f.PNG" alt="" title="2.2 f.PNG" class="inline" loading="lazy"/></a> 2018-03-16T11:09:17+02:00 S.45 1-35 https://peda.net/id/23f8e1ce282 2018-03-16T12:06:26+02:00 2018-03-15T09:54:51+02:00 S.45 1-34 https://peda.net/id/1ddd8f9c282 2018-03-16T10:17:36+02:00 <div> </div> <div> <div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=n%3D%5Cfrac%7Bm%7D%7BM%7D" alt="n=\frac{m}{M}"/><br/> <br/> </div> n= Aine määrä (mol) <div>m= Massa (g)</div> <div>M= Moolimassa (g/mol)</div> </div> <div> </div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=m%5Cleft(%5Cleft(NH_4%5Cright)_2CO_3%5Cright)%3D8%7B%2C%7D45g" alt="m\left(\left(NH_4\right)_2CO_3\right)=8{,}45g"/></div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=M%5Cleft(%5Cleft(NH_4%5Cright)_2CO_3%5Cright)%3D96%7B%2C%7D094%5Cfrac%7Bg%7D%7Bmol%7D" alt="M\left(\left(NH_4\right)_2CO_3\right)=96{,}094\frac{g}{mol}"/></div> <img src="https://math-demo.abitti.fi/math.svg?latex=n%5Cleft(%5Cleft(NH_4%5Cright)_2CO_3%5Cright)%3D%5Cfrac%7Bm%7D%7BM%7D%3D%5Cfrac%7B8%7B%2C%7D45g%7D%7B96%7B%2C%7D094%5Cfrac%7Bg%7D%7Bmol%7D%7D%3D0%7B%2C%7D08793473058mol" alt="n\left(\left(NH_4\right)_2CO_3\right)=\frac{m}{M}=\frac{8{,}45g}{96{,}094\frac{g}{mol}}=0{,}08793473058mol"/> </div> <div><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=c%3D%5Cfrac%7Bn%7D%7BV%7D" alt="c=\frac{n}{V}"/> <div><br/> <div>c= Konsentraatio (mol/l tai mol/dm3)<br/> n= Aineemäärä (mol)</div> <div>V= Tilavuus (l tai dm3)  </div> </div> </div> <div> </div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=V%5Cleft(Liuos%5Cright)%3D100ml%3D0%7B%2C%7D100l" alt="V\left(Liuos\right)=100ml=0{,}100l"/></div> <img src="https://math-demo.abitti.fi/math.svg?latex=n%5Cleft(%5Cleft(NH_4%5Cright)_2CO_3%5Cright)%3D0%7B%2C%7D08793473058mol" alt="n\left(\left(NH_4\right)_2CO_3\right)=0{,}08793473058mol"/><br/> <div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=c%5Cleft(%5Cleft(NH_4%5Cright)_2CO_3%5Cright)%3D%5Cfrac%7Bn%7D%7BV%7D%3D%5Cfrac%7B0%7B%2C%7D08793473058mol%7D%7B0%7B%2C%7D100l%7D%3D0%7B%2C%7D8793474058%5C%20%5Cfrac%7Bmol%7D%7Bl%7D" alt="c\left(\left(NH_4\right)_2CO_3\right)=\frac{n}{V}=\frac{0{,}08793473058mol}{0{,}100l}=0{,}8793474058\ \frac{mol}{l}"/></div> <div> </div> <div> Lasketaan nyt mitä on pipetoittu liuoksen konsentraatio:</div> <div> </div> <div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=c%3D%5Cfrac%7Bn%7D%7BV%7D" alt="c=\frac{n}{V}"/> <div><br/> <div>c= Konsentraatio (mol/l tai mol/dm3)<br/> n= Aineemäärä (mol)</div> <div>V= Tilavuus (l tai dm3)  </div> </div> </div> </div> <div> </div> <div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=V%5Cleft(Liuos%5Cright)%3D5ml%3D0%7B%2C%7D005l" alt="V\left(Liuos\right)=5ml=0{,}005l"/></div> <img src="https://math-demo.abitti.fi/math.svg?latex=c%5Cleft(%5Cleft(NH_4%5Cright)_2CO_3%5Cright)%3D0%7B%2C%7D8793474058%5Cfrac%7Bmol%7D%7Bl%7D" alt="c\left(\left(NH_4\right)_2CO_3\right)=0{,}8793474058\frac{mol}{l}"/></div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=c%3D%5Cfrac%7Bn%7D%7BV%7D%5C%20%3C%3D%3En%3DcV" alt="c=\frac{n}{V}\ &lt;=&gt;n=cV"/><!--filtered attribute: style="max-width: 100%; max-height: 1000px; vertical-align: middle; margin: 4px; padding: 3px 10px; cursor: pointer; border: 1px solid #e6f2f8; background: #edf9ff;"--></div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=%5Cleft(c%5Cleft(%5Cleft(NH_4%5Cright)%5Cright)_2CO_3%5Cright)%3D%5Cfrac%7B0%7B%2C%7D004396mol%7D%7B0%7B%2C%7D05l%7D%3D0%7B%2C%7D08792%5Cfrac%7Bmol%7D%7Bl%7D" alt="\left(c\left(\left(NH_4\right)\right)_2CO_3\right)=\frac{0{,}004396mol}{0{,}05l}=0{,}08792\frac{mol}{l}"/></div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=%5Cleft(NH_4%5Cright)_2CO_3%3D2%5C%20NH_4%5E%2B%2BCO_3" alt="\left(NH_4\right)_2CO_3=2\ NH_4^++CO_3"/></div> <img src="https://math-demo.abitti.fi/math.svg?latex=c%5Cleft(NH_4%5E%2B%5Cright)%3D0%7B%2C%7D08792%5Cfrac%7Bmol%7D%7Bl%7D%5Ccdot2%3D0%7B%2C%7D17584%5Capprox0%7B%2C%7D176%5Cfrac%7Bmol%7D%7Bl%7D" alt="c\left(NH_4^+\right)=0{,}08792\frac{mol}{l}\cdot2=0{,}17584\approx0{,}176\frac{mol}{l}"/> <div><img src="https://math-demo.abitti.fi/math.svg?latex=c%5Cleft(CO_3%5Cright)%3D0%7B%2C%7D08792%5Cfrac%7Bmol%7D%7Bl%7D%5Ccdot1%3D0%7B%2C%7D08792%5Cfrac%7Bmol%7D%7Bl%7D" alt="c\left(CO_3\right)=0{,}08792\frac{mol}{l}\cdot1=0{,}08792\frac{mol}{l}"/></div> </div> 2018-03-15T09:54:40+02:00 S.45 1-33 https://peda.net/id/e3aa7662282 2018-03-15T09:53:17+02:00 a)<br/> <div>Lasketaan konsentraatioiden suhde:<br/> <br/> </div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=%5Cfrac%7B4%7B%2C%7D0%5Cfrac%7Bmol%7D%7Bl%7D%7D%7B2%7B%2C%7D0%5Cfrac%7Bmol%7D%7Bl%7D%7D%3D2" alt="\frac{4{,}0\frac{mol}{l}}{2{,}0\frac{mol}{l}}=2"/><br/> <br/> </div> <span>Liuoksen tulee laimentua 2-kertaisesti.<br/> <br/> </span> <div><img src="https://math-demo.abitti.fi/math.svg?latex=%5Cfrac%7B1%7D%7B2%7D%5Ccdot100ml%3D50ml" alt="\frac{1}{2}\cdot100ml=50ml"/><br/> <span>Siis väkevästä liuoksesta otettavan tilavuuden on oltava tässä tapauksessa 1/2 laimennoksen loppu tilavuudesta eli 100 ml:sta.</span><br/> <br/> <span>Otetaan 50ml täyspipetillä liuosta ja täytetään mittapullo merkkiin asti.</span><br/> <br/> b)<br/> <div>Lasketaan konsentraatioiden suhde:<br/> <br/> </div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=%5Cfrac%7B4%7B%2C%7D0%5Cfrac%7Bmol%7D%7Bl%7D%7D%7B1%7B%2C%7D0%5Cfrac%7Bmol%7D%7Bl%7D%7D%3D4" alt="\frac{4{,}0\frac{mol}{l}}{1{,}0\frac{mol}{l}}=4"/><br/> <br/> </div> <span>Liuoksen tulee laimentua 4-kertaisesti<br/> <br/> </span> <div><img src="https://math-demo.abitti.fi/math.svg?latex=%5Cfrac%7B1%7D%7B4%7D%5Ccdot200ml%3D50ml" alt="\frac{1}{4}\cdot200ml=50ml"/><br/> <span>Siis väkevästä liuoksesta otettavan tilavuuden on oltava tässä tapauksessa 1/4 laimennoksen loppu tilavuudesta eli 200 ml:sta.</span><br/> <br/> <span>Otetaan 50ml täyspipetillä liuosta ja täytetään mittapullo merkkiin asti.</span><br/> <br/> c)<br/> <div>Lasketaan konsentraatioiden suhde:<br/> <br/> </div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=%5Cfrac%7B4%7B%2C%7D0%5Cfrac%7Bmol%7D%7Bl%7D%7D%7B0%7B%2C%7D080%5Cfrac%7Bmol%7D%7Bl%7D%7D%3D50" alt="\frac{4{,}0\frac{mol}{l}}{0{,}080\frac{mol}{l}}=50"/><br/> <br/> </div> <span>Liuoksen tulee laimentua 50-kertaisesti.<br/> <br/> </span> <div><img src="https://math-demo.abitti.fi/math.svg?latex=%5Cfrac%7B1%7D%7B50%7D%5Ccdot50ml%3D1%7B%2C%7D0ml" alt="\frac{1}{50}\cdot50ml=1{,}0ml"/><br/> <br/> <br/> <span>Siis väkevästä liuoksesta otettavan tilavuuden on oltava tässä tapauksessa 1/50 laimennoksen loppu tilavuudesta eli 200 ml:sta.</span><br/> <br/> <span>Otetaan 1,0ml täyspipetillä liuosta ja täytetään mittapullo merkkiin asti.</span></div> </div> </div> 2018-03-15T09:31:34+02:00 S.45 1-30 https://peda.net/id/db3b6d56282 2018-03-15T12:13:22+02:00 <div>Valmistetaan 100ml natriumkloridiliuosta, jonka kosentraatio on 0,25 mol/l<br/> <br/> Lasketaan ensin , kuinka monta moolia nartiumkloridia on liuotettava:  </div> <div> </div> <div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=c%3D%5Cfrac%7Bn%7D%7BV%7D" alt="c=\frac{n}{V}"/> <div><br/> <div>c= Konsentraatio (mol/l tai mol/dm3)<br/> n= Aineemäärä (mol)</div> <div>V= Tilavuus (l tai dm3)  </div> </div> </div> </div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=c%5Cleft(NaCl%5Cright)%3D0%7B%2C%7D25%5Cfrac%7Bmol%7D%7Bl%7D" alt="c\left(NaCl\right)=0{,}25\frac{mol}{l}"/></div> <img src="https://math-demo.abitti.fi/math.svg?latex=V%5Cleft(Liuos%5Cright)%3D100ml%3D0%7B%2C%7D100l" alt="V\left(Liuos\right)=100ml=0{,}100l"/><br/> <div><img src="https://math-demo.abitti.fi/math.svg?latex=c%3D%5Cfrac%7Bn%7D%7BV%7D%5C%20%3C%3D%3E%5C%20n%3DcV" alt="c=\frac{n}{V}\ &lt;=&gt;\ n=cV"/><!--filtered attribute: style="max-width: 100%; max-height: 1000px; vertical-align: middle; margin: 4px; padding: 3px 10px; cursor: pointer; border: 1px solid #e6f2f8; background: #edf9ff;"--></div> <img src="https://math-demo.abitti.fi/math.svg?latex=n%5Cleft(NaCl%5Cright)%3D0%7B%2C%7D25%5Cfrac%7Bmol%7D%7Bl%7D%5Ccdot0%7B%2C%7D100l%3D0%7B%2C%7D025mol" alt="n\left(NaCl\right)=0{,}25\frac{mol}{l}\cdot0{,}100l=0{,}025mol"/><br/> <div> </div> <div>Lasketaan seuraavaksi, paljonko sakkaroosia on punnittava: </div> <div> </div> <img src="https://math-demo.abitti.fi/math.svg?latex=n%3D%5Cfrac%7Bm%7D%7BM%7D" alt="n=\frac{m}{M}"/> <div> </div> <span>n= Aine määrä (mol)</span> <div>m= Massa (g)</div> <div>M= Moolimassa (g/mol)</div> <div> </div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=n%5Cleft(NaCl%5Cright)%3D0%7B%2C%7D025mol" alt="n\left(NaCl\right)=0{,}025mol"/></div> <img src="https://math-demo.abitti.fi/math.svg?latex=M%5Cleft(NaCl%5Cright)%3D58%7B%2C%7D4%5Cfrac%7Bg%7D%7Bmol%7D" alt="M\left(NaCl\right)=58{,}4\frac{g}{mol}"/> <div><img src="https://math-demo.abitti.fi/math.svg?latex=n%3D%5Cfrac%7Bm%7D%7BM%5C%20%7D%5C%20%3C%3D%3E%5C%20m%3DnM" alt="n=\frac{m}{M\ }\ &lt;=&gt;\ m=nM"/><!--filtered attribute: style="max-width: 100%; max-height: 1000px; vertical-align: middle; margin: 4px; padding: 3px 10px; cursor: pointer; border: 1px solid #e6f2f8; background: #edf9ff;"--></div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=m%5Cleft(NaCl%5Cright)%3D0%7B%2C%7D025mol%5Ccdot58%7B%2C%7D4%5Cfrac%7Bg%7D%7Bmol%7D%3D1%7B%2C%7D46g" alt="m\left(NaCl\right)=0{,}025mol\cdot58{,}4\frac{g}{mol}=1{,}46g"/> </div> <div> </div> <div>Koska käytettävissä on analyysivaaka, jolla saadaan punnittua 0,001g tarkuudella, punnitaan natriumkloridia 1,460 grammaa. <br/> Punnitaan tarkasti 1,460g natriumkloridia dekantterilasiin. Natriumkloridin sekaan lisätään vettä ja liuosta sekoitetaan kunnes natriumkloridi on täysin liuonnut. Seuraavaksi liuos kaadetaan 100ml mittapulloon. Sekaan lisätään vettä niin, että liuos saavuttaa merkkiviivan. </div> 2018-03-15T09:31:20+02:00 S.38 1-27 https://peda.net/id/763f111e25d 2018-03-12T15:47:15+02:00 a)<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=HCl%5Cleft(aq%5Cright)%7B%2C%7D%5C%20tiheys%3D1%7B%2C%7D18%5Cfrac%7Bkg%7D%7Bdm%5E3%7D%7B%2C%7D%5C%20m-%5C%25%3D36%5C%25" alt="HCl\left(aq\right){,}\ tiheys=1{,}18\frac{kg}{dm^3}{,}\ m-\%=36\%"/><br/> <div><img src="https://math-demo.abitti.fi/math.svg?latex=c%3D%5Cfrac%7Bn%7D%7BV%7D%3D%5Cfrac%7Bm%7D%7BMV%7D%3D%5Cfrac%7B%5Crho%7D%7BM%7D" alt="c=\frac{n}{V}=\frac{m}{MV}=\frac{\rho}{M}"/></div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=c%5Cleft(HCl%5Cright)%3D%5Cfrac%7B0%7B%2C%7D36m%7D%7BMV%7D%3D%5Cleft(%5Crho%3D%5Cfrac%7Bm%7D%7BV%7D%5Cright)%3D%5Cfrac%7B0%7B%2C%7D36%5Crho%7D%7BM%7D%3D%5Cfrac%7B%5Cleft(1180%5Cfrac%7Bg%7D%7Bl%7D%5Ccdot0%7B%2C%7D36%5Cright)mol%7D%7B%5Cleft(1%7B%2C%7D008%2B35%7B%2C%7D45%5Cright)%5Cfrac%7Bg%7D%7Bmol%7D%7D%3D11%7B%2C%7D6517...%5Capprox12%5Cfrac%7Bmol%7D%7Bdm%5E3%7D" alt="c\left(HCl\right)=\frac{0{,}36m}{MV}=\left(\rho=\frac{m}{V}\right)=\frac{0{,}36\rho}{M}=\frac{\left(1180\frac{g}{l}\cdot0{,}36\right)mol}{\left(1{,}008+35{,}45\right)\frac{g}{mol}}=11{,}6517...\approx12\frac{mol}{dm^3}"/><span> </span></div> <br/> b)<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=NH_3%5Cleft(aq%5Cright)%7B%2C%7Dtiheys%3D0%7B%2C%7D91%5Cfrac%7Bkg%7D%7Bdm%5E3%7D%7B%2C%7D%5C%20m-%5C%25%3D25%5C%25" alt="NH_3\left(aq\right){,}tiheys=0{,}91\frac{kg}{dm^3}{,}\ m-\%=25\%"/><br/> <div><img src="https://math-demo.abitti.fi/math.svg?latex=c%3D%5Cfrac%7Bn%7D%7BV%7D%3D%5Cfrac%7Bm%7D%7BMV%7D%3D%5Cfrac%7B%5Crho%7D%7BM%7D" alt="c=\frac{n}{V}=\frac{m}{MV}=\frac{\rho}{M}"/></div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=c%5Cleft(NH_3%5Cright)%3D%5Cfrac%7B0%7B%2C%7D25m%7D%7BMV%7D%3D%5Cleft(%5Crho%3D%5Cfrac%7Bm%7D%7BV%7D%5Cright)%3D%5Cfrac%7B0%7B%2C%7D25%5Crho%7D%7BM%7D%3D%5Cfrac%7B%5Cleft(910%5Cfrac%7Bg%7D%7Bl%7D%5Ccdot0%7B%2C%7D25%5Cright)mol%7D%7B%5Cleft(14%7B%2C%7D01%2B1%7B%2C%7D008%5Ccdot3%5Cright)%5Cfrac%7Bg%7D%7Bmol%7D%7D%3D13%7B%2C%7D355...%5Capprox13%5Cfrac%7Bmol%7D%7Bdm%5E3%7D" alt="c\left(NH_3\right)=\frac{0{,}25m}{MV}=\left(\rho=\frac{m}{V}\right)=\frac{0{,}25\rho}{M}=\frac{\left(910\frac{g}{l}\cdot0{,}25\right)mol}{\left(14{,}01+1{,}008\cdot3\right)\frac{g}{mol}}=13{,}355...\approx13\frac{mol}{dm^3}"/></div> 2018-03-12T11:05:08+02:00 S.37 1-25 https://peda.net/id/6eb49cde25d 2018-03-12T12:29:13+02:00 <div><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=c%3D%5Cfrac%7Bn%7D%7BV%7D" alt="c=\frac{n}{V}"/> </div> <div> <div><br/> <div>c= Konsentraatio (mol/l tai mol/dm3)<br/> n= Aineemäärä (mol)</div> <div>V= Tilavuus (l tai dm3)  </div> </div> <div> </div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=c%5Cleft(K%5Cright)%3D4%7B%2C%7D0%5Cfrac%7Bmmol%7D%7Bl%7D%3D0%7B%2C%7D004%5Cfrac%7Bmol%7D%7Bl%7D" alt="c\left(K\right)=4{,}0\frac{mmol}{l}=0{,}004\frac{mol}{l}"/></div> <img src="https://math-demo.abitti.fi/math.svg?latex=V%5Cleft(Hiki%5Cright)%3D2%7B%2C%7D0dl%3D0%7B%2C%7D2l" alt="V\left(Hiki\right)=2{,}0dl=0{,}2l"/><br/> <div> <div> </div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=c%3D%5Cfrac%7Bn%7D%7BV%7D%5C%20%3C%3D%3E%5C%20n%3DcV" alt="c=\frac{n}{V}\ &lt;=&gt;\ n=cV"/><!--filtered attribute: style="max-width: 100%; max-height: 1000px; vertical-align: middle; margin: 4px; padding: 3px 10px; cursor: pointer; border: 1px solid #e6f2f8; background: #edf9ff;"--><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=n%5Cleft(K%5Cright)%3DcV%3D0%7B%2C%7D004%5Cfrac%7Bmol%7D%7Bl%7D%5Ccdot0%7B%2C%7D2l%3D8%5Ccdot10%5E%7B-4%7D%3D0%7B%2C%7D8mmol" alt="n\left(K\right)=cV=0{,}004\frac{mol}{l}\cdot0{,}2l=8\cdot10^{-4}=0{,}8mmol"/></div> <br/> <div><img src="https://math-demo.abitti.fi/math.svg?latex=n%3D%5Cfrac%7Bm%7D%7BM%7D" alt="n=\frac{m}{M}"/></div> n= Ainemäärä (mol) <div>m= Massa (g)</div> <div>M= Moolimassa (g/mol)</div> </div> <div> </div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=n%5Cleft(K%5Cright)%3D8%5Ccdot10%5E%7B-4%7Dmol" alt="n\left(K\right)=8\cdot10^{-4}mol"/></div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=M%5Cleft(K%5Cright)%3D39%7B%2C%7D10%5C%20%5Cfrac%7Bg%7D%7Bmol%7D" alt="M\left(K\right)=39{,}10\ \frac{g}{mol}"/></div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=n%3D%5Cfrac%7Bm%7D%7BM%7D%5C%20%3C%3D%3E%5C%20m%3DnM" alt="n=\frac{m}{M}\ &lt;=&gt;\ m=nM"/><!--filtered attribute: style="max-width: 100%; max-height: 1000px; vertical-align: middle; margin: 4px; padding: 3px 10px; cursor: pointer; border: 1px solid #e6f2f8; background: #edf9ff;"--></div> <img src="https://math-demo.abitti.fi/math.svg?latex=m%5Cleft(K%5Cright)%3D8%5Ccdot10%5E%7B-4%7Dmol%5Ccdot39%7B%2C%7D10%5Cfrac%7Bg%7D%7Bmol%7D%3D0%7B%2C%7D03128g%5Capprox31mg" alt="m\left(K\right)=8\cdot10^{-4}mol\cdot39{,}10\frac{g}{mol}=0{,}03128g\approx31mg"/></div> 2018-03-12T11:04:55+02:00 S.37 1-23 https://peda.net/id/662d14b025d 2018-03-12T12:26:12+02:00 a)<br/> <br/> <img src="https://math-demo.abitti.fi/math.svg?latex=c%3D%5Cfrac%7Bn%7D%7BV%7D" alt="c=\frac{n}{V}"/> <div><br/> <div>c= Konsentraatio (mol/l tai mol/dm3)<br/> n= Aineemäärä (mol)</div> <div>V= Tilavuus (l tai dm3)  </div> </div> <div> </div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=c%3D%5Cfrac%7Bn%7D%7BV%7D%5C%20%3C%3D%3E%5C%20V%3D%5Cfrac%7Bn%7D%7Bc%7D" alt="c=\frac{n}{V}\ &lt;=&gt;\ V=\frac{n}{c}"/><!--filtered attribute: style="max-width: 100%; max-height: 1000px; vertical-align: middle; margin: 4px; padding: 3px 10px; cursor: pointer; border: 1px solid #e6f2f8; background: #edf9ff;"--></div> <img src="https://math-demo.abitti.fi/math.svg?latex=n%5Cleft(NaCl%5Cright)%3D0%7B%2C%7D10mol" alt="n\left(NaCl\right)=0{,}10mol"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=c%5Cleft(NaCl%5Cright)%3D0%7B%2C%7D14%5Cfrac%7Bmol%7D%7Bl%7D" alt="c\left(NaCl\right)=0{,}14\frac{mol}{l}"/> <div><img src="https://math-demo.abitti.fi/math.svg?latex=V%5Cleft(Veri%5Cright)%3D%5Cfrac%7Bn%7D%7Bc%7D%3D%5Cfrac%7B0%7B%2C%7D10mol%7D%7B0%7B%2C%7D14%5Cfrac%7Bmol%7D%7Bl%7D%7D%3D0%7B%2C%7D7142...%5Capprox0%7B%2C%7D71l%3D710ml" alt="V\left(Veri\right)=\frac{n}{c}=\frac{0{,}10mol}{0{,}14\frac{mol}{l}}=0{,}7142...\approx0{,}71l=710ml"/><span> </span><br/> <br/> </div> b)<br/> <div><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=n%3D%5Cfrac%7Bm%7D%7BM%7D" alt="n=\frac{m}{M}"/></div> <span>n= Aine määrä (mol)</span> <div>m= Massa (g)</div> <div>M= Moolimassa (g/mol)</div> <div> </div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=m%5Cleft(NaCl%5Cright)%3D1%7B%2C%7D0mg%3D0%7B%2C%7D001g" alt="m\left(NaCl\right)=1{,}0mg=0{,}001g"/></div> <div> <div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=M%5Cleft(NaCl%5Cright)%3D%5Cleft(22%7B%2C%7D99%2B35%7B%2C%7D45%5Cright)%5Cfrac%7Bg%7D%7Bmol%7D%3D58%7B%2C%7D44%5Cfrac%7Bg%7D%7Bmol%7D" alt="M\left(NaCl\right)=\left(22{,}99+35{,}45\right)\frac{g}{mol}=58{,}44\frac{g}{mol}"/></div> <img src="https://math-demo.abitti.fi/math.svg?latex=n%5Cleft(NaCl%5Cright)%3D%5Cfrac%7Bm%7D%7BM%7D%3D%5Cfrac%7B0%7B%2C%7D001g%7D%7B58%7B%2C%7D44%5Cfrac%7Bg%7D%7Bmol%7D%7D%3D1%7B%2C%7D711%5Ccdot10%5E%7B-5%7Dmol" alt="n\left(NaCl\right)=\frac{m}{M}=\frac{0{,}001g}{58{,}44\frac{g}{mol}}=1{,}711\cdot10^{-5}mol"/></div> <br/> <img src="https://math-demo.abitti.fi/math.svg?latex=c%3D%5Cfrac%7Bn%7D%7BV%7D" alt="c=\frac{n}{V}"/> <div><br/> <div>c= Konsentraatio (mol/l tai mol/dm3)<br/> n= Aineemäärä (mol)</div> <div>V= Tilavuus (l tai dm3)  </div> </div> <div> </div> <img src="https://math-demo.abitti.fi/math.svg?latex=c%5Cleft(NaCl%5Cright)%3D0%7B%2C%7D14%5Cfrac%7Bmol%7D%7Bl%7D" alt="c\left(NaCl\right)=0{,}14\frac{mol}{l}"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=n%5Cleft(NaCl%5Cright)%3D1%7B%2C%7D711%5Ccdot10%5E%7B-5%7Dmol" alt="n\left(NaCl\right)=1{,}711\cdot10^{-5}mol"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=c%3D%5Cfrac%7Bn%7D%7BV%7D%5C%20%3C%3D%3E%5C%20V%3D%5Cfrac%7Bn%7D%7Bc%7D" alt="c=\frac{n}{V}\ &lt;=&gt;\ V=\frac{n}{c}"/><!--filtered attribute: style="max-width: 100%; max-height: 1000px; vertical-align: middle; margin: 4px; padding: 3px 10px; cursor: pointer; border: 1px solid #e6f2f8; background: #edf9ff;"--></div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=V%5Cleft(Veri%5Cright)%3D%5Cfrac%7Bn%7D%7Bc%7D%3D%5Cfrac%7B1%7B%2C%7D711%5Ccdot10%5E%7B-5%7Dmol%7D%7B0%7B%2C%7D14%5Cfrac%7Bmol%7D%7Bl%7D%7D%3D1%7B%2C%7D222%5Ccdot10%5E%7B-4%7D%5Capprox0%7B%2C%7D12%5C%20ml" alt="V\left(Veri\right)=\frac{n}{c}=\frac{1{,}711\cdot10^{-5}mol}{0{,}14\frac{mol}{l}}=1{,}222\cdot10^{-4}\approx0{,}12\ ml"/><br/> <br/> c) <br/> <img src="https://math-demo.abitti.fi/math.svg?latex=m%5Cleft(Na%5E%2B%5Cright)%3D0%7B%2C%7D14%5Cfrac%7Bmol%7D%7Bl%7D%5Ccdot22%7B%2C%7D99%5Cfrac%7Bg%7D%7Bmol%7D%3D3%7B%2C%7D2186%5Capprox3%7B%2C%7D2%5Cfrac%7Bg%7D%7Bl%7D" alt="m\left(Na^+\right)=0{,}14\frac{mol}{l}\cdot22{,}99\frac{g}{mol}=3{,}2186\approx3{,}2\frac{g}{l}"/><span> </span><br/> <br/> d)<br/> <div><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=c%3D%5Cfrac%7Bn%7D%7BV%7D" alt="c=\frac{n}{V}"/> </div> <div> <div><br/> <div>c= Konsentraatio (mol/l tai mol/dm3)<br/> n= Aineemäärä (mol)</div> <div>V= Tilavuus (l tai dm3)  </div> </div> <div> </div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=c%5Cleft(NaCl%5Cright)%3D0%7B%2C%7D14%5Cfrac%7Bmol%7D%7Bl%7D%3A2%3D0%7B%2C%7D07mol" alt="c\left(NaCl\right)=0{,}14\frac{mol}{l}:2=0{,}07mol"/><br/> <div> <div><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=n%3D%5Cfrac%7BN%7D%7BN_A%7D" alt="n=\frac{N}{N_A}"/></div> n= Ainemäärä (mol)</div> <div>N= Hiukkasten lukumäärä </div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=N_A" alt="N_A"/>=Avogadron vakio <img src="https://math-demo.abitti.fi/math.svg?latex=6%7B%2C%7D022%5Ccdot10%5E%7B23%7D" alt="6{,}022\cdot10^{23}"/>(kpl/mol tai 1/mol)<br/> <div> </div> <img src="https://math-demo.abitti.fi/math.svg?latex=n%5Cleft(NaCl%5Cright)%3D0%7B%2C%7D07mol" alt="n\left(NaCl\right)=0{,}07mol"/></div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=n%3D%5Cfrac%7BN%7D%7BN_A%7D%5C%20%3C%3D%3E%5C%20N%3DN_An" alt="n=\frac{N}{N_A}\ &lt;=&gt;\ N=N_An"/><!--filtered attribute: style="max-width: 100%; max-height: 1000px; vertical-align: middle; margin: 4px; padding: 3px 10px; cursor: pointer; border: 1px solid #e6f2f8; background: #edf9ff;"--><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=N%5Cleft(NaCl%5Cright)%3D6%7B%2C%7D022%5Ccdot10%5E%7B23%7D%5Ccdot0%7B%2C%7D07mol%3D4%7B%2C%7D2154%5Ccdot10%5E%7B22%7D%5Capprox4%7B%2C%7D2%5Ccdot10%5E%7B22%7Dkpl" alt="N\left(NaCl\right)=6{,}022\cdot10^{23}\cdot0{,}07mol=4{,}2154\cdot10^{22}\approx4{,}2\cdot10^{22}kpl"/></div> </div> </div> </div> 2018-03-12T11:04:41+02:00 S.37 1-21 https://peda.net/id/6066ed6c25d 2018-03-12T11:25:33+02:00 <br/> <img src="https://math-demo.abitti.fi/math.svg?latex=c%3D%5Cfrac%7Bn%7D%7BV%7D" alt="c=\frac{n}{V}"/> <div><br/> <div>c= Konsentraatio (mol/l tai mol/dm3)<br/> n= Aineemäärä (mol)</div> <div>V= Tilavuus (l tai dm3)  </div> </div> <div> </div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=n%5Cleft(%5Cleft(NH_4%5Cright)_2SO_4%5Cright)%3D%5Cfrac%7Bm%7D%7BM%7D%3D%5Cfrac%7B3%7B%2C%7D0g%7D%7B%5Cleft(14%7B%2C%7D01%5Ccdot2%2B1%7B%2C%7D008%5Ccdot8%2B32%7B%2C%7D07%2B16%5Ccdot4%5Cright)%5Cfrac%7Bmol%7D%7Bg%7D%7D%3D0%7B%2C%7D027007...mol" alt="n\left(\left(NH_4\right)_2SO_4\right)=\frac{m}{M}=\frac{3{,}0g}{\left(14{,}01\cdot2+1{,}008\cdot8+32{,}07+16\cdot4\right)\frac{mol}{g}}=0{,}027007...mol"/></div> <img src="https://math-demo.abitti.fi/math.svg?latex=V%5Cleft(Liuos%5Cright)%3D100ml%3D0%7B%2C%7D100l" alt="V\left(Liuos\right)=100ml=0{,}100l"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=c%5Cleft(%5Cleft(NH_4%5Cright)_2SO_4%5Cright)%3D%5Cfrac%7Bn%7D%7BV%7D%3D%5Cfrac%7B0%7B%2C%7D023mol%7D%7B0%7B%2C%7D100l%7D%3D0%7B%2C%7D22700...%5Capprox0%7B%2C%7D23%5Cfrac%7Bmol%7D%7Bl%7D" alt="c\left(\left(NH_4\right)_2SO_4\right)=\frac{n}{V}=\frac{0{,}023mol}{0{,}100l}=0{,}22700...\approx0{,}23\frac{mol}{l}"/><br/> <div><img src="https://math-demo.abitti.fi/math.svg?latex=c%5Cleft(NH_4%5E%7B%5E%2B%7D%5Cright)%3D0%7B%2C%7D227mol%5Ccdot2%3D0%7B%2C%7D454%5Capprox0%7B%2C%7D45%5Cfrac%7Bmol%7D%7Bl%7D" alt="c\left(NH_4^{^+}\right)=0{,}227mol\cdot2=0{,}454\approx0{,}45\frac{mol}{l}"/></div> <br/> <img src="https://math-demo.abitti.fi/math.svg?latex=c%5Cleft(SO_4%5E%7B2-%7D%5Cright)%3D0%7B%2C%7D23%5Cfrac%7Bmol%7D%7Bl%7D" alt="c\left(SO_4^{2-}\right)=0{,}23\frac{mol}{l}"/> 2018-03-12T11:04:31+02:00 S.37 1-20 https://peda.net/id/5980f7e025d 2018-03-12T11:10:47+02:00 a)<br/> <br/> <img src="https://math-demo.abitti.fi/math.svg?latex=c%3D%5Cfrac%7Bn%7D%7BV%7D" alt="c=\frac{n}{V}"/> <div><br/> <div>c= Konsentraatio (mol/l tai mol/dm3)<br/> n= Aineemäärä (mol)</div> <div>V= Tilavuus (l tai dm3)  </div> </div> <div> </div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=n%5Cleft(C_%7B12%7DH_%7B22%7DO_%7B11%7D%5Cright)%3D3%7B%2C%7D0mol" alt="n\left(C_{12}H_{22}O_{11}\right)=3{,}0mol"/></div> <img src="https://math-demo.abitti.fi/math.svg?latex=V%5Cleft(Liuos%5Cright)%3D2%7B%2C%7D0l" alt="V\left(Liuos\right)=2{,}0l"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=c%5Cleft(C_%7B12%7DH_%7B22%7DO_%7B11%7D%5Cright)%3D%5Cfrac%7Bn%7D%7BV%7D%3D%5Cfrac%7B3%7B%2C%7D0mol%7D%7B2%7B%2C%7D0l%7D%3D1%7B%2C%7D5%5Cfrac%7Bmol%7D%7Bl%7D" alt="c\left(C_{12}H_{22}O_{11}\right)=\frac{n}{V}=\frac{3{,}0mol}{2{,}0l}=1{,}5\frac{mol}{l}"/><br/> <br/> b)<br/> <br/> <img src="https://math-demo.abitti.fi/math.svg?latex=c%3D%5Cfrac%7Bn%7D%7BV%7D" alt="c=\frac{n}{V}"/> <div><br/> <div>c= Konsentraatio (mol/l tai mol/dm3)<br/> n= Aineemäärä (mol)</div> <div>V= Tilavuus (l tai dm3)  </div> </div> <div> </div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=n%5Cleft(C_%7B27%7DH_%7B46%7DO%5Cright)%3D1%7B%2C%7D1%5Ccdot10%5E%7B-5%7Dmol" alt="n\left(C_{27}H_{46}O\right)=1{,}1\cdot10^{-5}mol"/></div> <img src="https://math-demo.abitti.fi/math.svg?latex=V%5Cleft(Verin%C3%A4yte%5Cright)%3D3%7B%2C%7D0ml%3D0%7B%2C%7D003l" alt="V\left(Verinäyte\right)=3{,}0ml=0{,}003l"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=c%5Cleft(C_%7B27%7DH_%7B46%7DO%5Cright)%3D%5Cfrac%7Bn%7D%7BV%7D%3D%5Cfrac%7B1%7B%2C%7D1%5Ccdot10%5E%7B-5%7Dmol%7D%7B0%7B%2C%7D003l%7D%3D3%7B%2C%7D666%5Ccdot10%5E%7B-3%7D%5Cfrac%7Bmol%7D%7Bl%7D%5Capprox3%7B%2C%7D7%5Cfrac%7Bmmol%7D%7Bl%7D" alt="c\left(C_{27}H_{46}O\right)=\frac{n}{V}=\frac{1{,}1\cdot10^{-5}mol}{0{,}003l}=3{,}666\cdot10^{-3}\frac{mol}{l}\approx3{,}7\frac{mmol}{l}"/> 2018-03-12T11:04:19+02:00 S.30 1-18 https://peda.net/id/4187abdc237 2018-03-09T12:51:59+02:00 <b><b>Hyönteismyrkkpullon etiketti ilmaisee, että se sisältää 0,10 massaprosenttia myrkkyä, jonka molekyylikaava on C<sub>12</sub>H<sub>11</sub>NO<sub>2</sub>. Kuinka monta myrkkymolekyyliä on 200ml:n pullossa, jos liuoksen tiheys on 1,0g/ml?<br/> </b></b> <div> <div><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=200ml%5Ccdot10%5C%25%3D20ml%5Cleft(Myrkky%5Cright)" alt="200ml\cdot10\%=20ml\left(Myrkky\right)"/><br/> <br/> </div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=n%3D%5Cfrac%7Bm%7D%7BM%7D" alt="n=\frac{m}{M}"/></div> n= Aine määrä (mol) <div>m= Massa (g)</div> <div>M= Moolimassa (g/mol)</div> <div> </div> Kyseessä oleva myrkky on Karbaryyli</div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=m%5Cleft(C_%7B12%7DH_%7B11%7DNO_2%5Cright)%3D20ml%5Ccdot1%7B%2C%7D0%5Cfrac%7Bg%7D%7Bml%7D%3D20g" alt="m\left(C_{12}H_{11}NO_2\right)=20ml\cdot1{,}0\frac{g}{ml}=20g"/></div> <b><b><img src="https://math-demo.abitti.fi/math.svg?latex=M%5Cleft(C_%7B12%7DH_%7B11%7DNO_2%5Cright)%3D201%7B%2C%7D221%5Cfrac%7Bg%7D%7Bmol%7D" alt="M\left(C_{12}H_{11}NO_2\right)=201{,}221\frac{g}{mol}"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=n%5Cleft(C_%7B12%7DH_%7B11%7DNO_2%5Cright)%3D%5Cfrac%7Bm%7D%7BM%7D%3D%5Cfrac%7B20g%7D%7B201%7B%2C%7D221%5Cfrac%7Bg%7D%7Bmol%7D%7D%3D0%7B%2C%7D09939...%5Capprox0%7B%2C%7D1mol" alt="n\left(C_{12}H_{11}NO_2\right)=\frac{m}{M}=\frac{20g}{201{,}221\frac{g}{mol}}=0{,}09939...\approx0{,}1mol"/></b></b> <div><img src="https://math-demo.abitti.fi/math.svg?latex=n%3D%5Cfrac%7BN%7D%7BN_A%7D" alt="n=\frac{N}{N_A}"/></div> <b><b><img src="https://math-demo.abitti.fi/math.svg?latex=n%5Cleft(C_%7B12%7DH_%7B11%7DNO_2%5Cright)%3D0%7B%2C%7D1mol" alt="n\left(C_{12}H_{11}NO_2\right)=0{,}1mol"/><br/> </b></b> <div><span> </span><img src="https://math-demo.abitti.fi/math.svg?latex=N_A%3D6%7B%2C%7D022%5Ccdot10%5E%7B23%7D" alt="N_A=6{,}022\cdot10^{23}"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=N%5Cleft(C_%7B12%7DH_%7B11%7DNO_2%5Cright)%3Dn%5Ccdot%20N_A%3D0%7B%2C%7D1mol%5Ccdot6%7B%2C%7D022%5Ccdot10%5E%7B23%7D%3D6%7B%2C%7D022%5Ccdot10%5E%7B22%7D%5Capprox6%7B%2C%7D0%5Ccdot10%5E%7B22%7D" alt="N\left(C_{12}H_{11}NO_2\right)=n\cdot N_A=0{,}1mol\cdot6{,}022\cdot10^{23}=6{,}022\cdot10^{22}\approx6{,}0\cdot10^{22}"/> <div> </div> </div> 2018-03-09T11:43:00+02:00 S.29 1-16 https://peda.net/id/387071c8237 2018-03-09T12:31:17+02:00 <b><b>Erästä alkuainetta X on 0,125 moolia. Tämän ainemäärän massa on 6,98 gramma. Mistä alkuaineesta on kyse?<br/> </b></b> <div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=n%3D%5Cfrac%7Bm%7D%7BM%7D" alt="n=\frac{m}{M}"/></div> n= Aine määrä (mol) <div>m= Massa (g)</div> <div>M= Moolimassa (g/mol)</div> <div> </div> <img src="https://math-demo.abitti.fi/math.svg?latex=n%5Cleft(X%5Cright)%3D0%7B%2C%7D125mol" alt="n\left(X\right)=0{,}125mol"/></div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=m%5Cleft(X%5Cright)%3D6%7B%2C%7D98g" alt="m\left(X\right)=6{,}98g"/></div> <b><img src="https://math-demo.abitti.fi/math.svg?latex=M%5Cleft(X%5Cright)%3D%5Cfrac%7Bm%7D%7Bn%7D%3D%5Cfrac%7B6%7B%2C%7D98g%7D%7B0%7B%2C%7D125mol%7D%3D55%7B%2C%7D84%5Cfrac%7Bg%7D%7Bmol%7D" alt="M\left(X\right)=\frac{m}{n}=\frac{6{,}98g}{0{,}125mol}=55{,}84\frac{g}{mol}"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=Aine%5C%20X%5C%20on%5C%20Rauta%5C%20Fe" alt="Aine\ X\ on\ Rauta\ Fe"/><br/> </b> 2018-03-09T11:42:45+02:00 S.29 1-12 https://peda.net/id/d75fc67c237 2018-03-09T12:28:27+02:00 Ratkaise, mikä massa on<br/> a) 2,0 moolilla alumiinia.<br/> <div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=n%3D%5Cfrac%7Bm%7D%7BM%7D" alt="n=\frac{m}{M}"/></div> n= Aine määrä (mol) <div>m= Massa (g)</div> <div>M= Moolimassa (g/mol)</div> <div> </div> <img src="https://math-demo.abitti.fi/math.svg?latex=n%5Cleft(Al%5Cright)%3D2%7B%2C%7D0mol" alt="n\left(Al\right)=2{,}0mol"/></div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=M%5Cleft(Al%5Cright)%3D26%7B%2C%7D98%5Cfrac%7Bg%7D%7Bmol%7D" alt="M\left(Al\right)=26{,}98\frac{g}{mol}"/></div> <img src="https://math-demo.abitti.fi/math.svg?latex=m%5Cleft(Al%5Cright)%3Dn%5Ccdot%20M%3D2%7B%2C%7D0mol%5Ccdot26%7B%2C%7D98%5Cfrac%7Bg%7D%7Bmol%7D%3D53%7B%2C%7D96%5Capprox54g" alt="m\left(Al\right)=n\cdot M=2{,}0mol\cdot26{,}98\frac{g}{mol}=53{,}96\approx54g"/><br/> b) 50 moolilla happikaasua.<br/> <div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=n%3D%5Cfrac%7Bm%7D%7BM%7D" alt="n=\frac{m}{M}"/></div> n= Aine määrä (mol) <div>m= Massa (g)</div> <div>M= Moolimassa (g/mol)</div> <div> </div> <img src="https://math-demo.abitti.fi/math.svg?latex=n%5Cleft(O_2%5Cright)%3D50mol" alt="n\left(O_2\right)=50mol"/></div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=M%5Cleft(O_2%5Cright)%3D16%7B%2C%7D00%5Cfrac%7Bg%7D%7Bmol%7D%5Ccdot2%3D32%5Cfrac%7Bg%7D%7Bmol%7D" alt="M\left(O_2\right)=16{,}00\frac{g}{mol}\cdot2=32\frac{g}{mol}"/></div> <img src="https://math-demo.abitti.fi/math.svg?latex=m%5Cleft(O_2%5Cright)%3Dn%5Ccdot%20M%3D50mol%5Ccdot32%5Cfrac%7Bg%7D%7Bmol%7D%3D1600g%3D1%7B%2C%7D6kg" alt="m\left(O_2\right)=n\cdot M=50mol\cdot32\frac{g}{mol}=1600g=1{,}6kg"/><br/> c) 0,20 moolilla natriumsulfaattia (Na<sub>2</sub>SO<sub>4</sub>)<br/> <div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=n%3D%5Cfrac%7Bm%7D%7BM%7D" alt="n=\frac{m}{M}"/></div> n= Aine määrä (mol) <div>m= Massa (g)</div> <div>M= Moolimassa (g/mol)</div> <div> </div> <img src="https://math-demo.abitti.fi/math.svg?latex=n%5Cleft(Na_2SO_4%5Cright)%3D0%7B%2C%7D20mol" alt="n\left(Na_2SO_4\right)=0{,}20mol"/></div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=M%5Cleft(Na_2SO_4%5Cright)%3D22%7B%2C%7D99%5Cfrac%7Bg%7D%7Bmol%7D%5Ccdot2%2B32%7B%2C%7D07%5Cfrac%7Bg%7D%7Bmol%7D%2B16%7B%2C%7D00%5Cfrac%7Bg%7D%7Bmol%7D%5Ccdot4%3D142%7B%2C%7D05%5Cfrac%7Bg%7D%7Bmol%7D" alt="M\left(Na_2SO_4\right)=22{,}99\frac{g}{mol}\cdot2+32{,}07\frac{g}{mol}+16{,}00\frac{g}{mol}\cdot4=142{,}05\frac{g}{mol}"/></div> <img src="https://math-demo.abitti.fi/math.svg?latex=m%5Cleft(Na_2SO_4%5Cright)%3Dn%5Ccdot%20M%3D0%7B%2C%7D20mol%5Ccdot142%7B%2C%7D05%5Cfrac%7Bg%7D%7Bmol%7D%3D28%7B%2C%7D41g%5Capprox28g" alt="m\left(Na_2SO_4\right)=n\cdot M=0{,}20mol\cdot142{,}05\frac{g}{mol}=28{,}41g\approx28g"/><br/> d) 0,65 millimoolilla ammoniumkloridia (NH<sub>4</sub>Cl). Anna vastaus milligrammoina.<br/> <div> <div> <div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=n%3D%5Cfrac%7Bm%7D%7BM%7D" alt="n=\frac{m}{M}"/></div> n= Aine määrä (mol) <div>m= Massa (g)</div> <div>M= Moolimassa (g/mol)</div> <div> </div> <img src="https://math-demo.abitti.fi/math.svg?latex=n%5Cleft(NH_4Cl%5Cright)%3D0%7B%2C%7D65mmol%3D0%7B%2C%7D00065ml" alt="n\left(NH_4Cl\right)=0{,}65mmol=0{,}00065ml"/></div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=M%5Cleft(NH_4Cl%5Cright)%3D14%7B%2C%7D01%5Cfrac%7Bg%7D%7Bmol%7D%2B1%7B%2C%7D008%5Cfrac%7Bg%7D%7Bmol%7D%5Ccdot4%2B35%7B%2C%7D45%5Cfrac%7Bg%7D%7Bmol%7D%3D53%7B%2C%7D492%5Cfrac%7Bg%7D%7Bmol%7D" alt="M\left(NH_4Cl\right)=14{,}01\frac{g}{mol}+1{,}008\frac{g}{mol}\cdot4+35{,}45\frac{g}{mol}=53{,}492\frac{g}{mol}"/></div> <img src="https://math-demo.abitti.fi/math.svg?latex=m%5Cleft(NH_4Cl%5Cright)%3Dn%5Ccdot%20M%3D0%7B%2C%7D00065mol%5Ccdot53%7B%2C%7D492%5Cfrac%7Bg%7D%7Bmol%7D%3D0%7B%2C%7D0347...%5Capprox0%7B%2C%7D035g%3D35mg" alt="m\left(NH_4Cl\right)=n\cdot M=0{,}00065mol\cdot53{,}492\frac{g}{mol}=0{,}0347...\approx0{,}035g=35mg"/></div> </div> e) 2,5*10<sup>-9</sup> moolilla A-vitamiinia (C<sub>20</sub>H<sub>30</sub>O). Anna vastaus mikrogrammoina.<br/> <div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=n%3D%5Cfrac%7Bm%7D%7BM%7D" alt="n=\frac{m}{M}"/></div> n= Aine määrä (mol) <div>m= Massa (g)</div> <div>M= Moolimassa (g/mol)</div> <div> </div> <img src="https://math-demo.abitti.fi/math.svg?latex=n%5Cleft(C_%7B20%7DH_%7B30%7DO%5Cright)%3D2%7B%2C%7D5%5Ccdot10%5E%7B-9%7Dmol" alt="n\left(C_{20}H_{30}O\right)=2{,}5\cdot10^{-9}mol"/></div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=M%5Cleft(C_%7B20%7DH_%7B30%7DO%5Cright)%3D12%7B%2C%7D01%5Cfrac%7Bg%7D%7Bmol%7D%5Ccdot20%2B1%7B%2C%7D008%5Cfrac%7Bg%7D%7Bmol%7D%5Ccdot30%2B16%7B%2C%7D00%5Cfrac%7Bg%7D%7Bmol%7D%3D286%7B%2C%7D44%5Cfrac%7Bg%7D%7Bmol%7D" alt="M\left(C_{20}H_{30}O\right)=12{,}01\frac{g}{mol}\cdot20+1{,}008\frac{g}{mol}\cdot30+16{,}00\frac{g}{mol}=286{,}44\frac{g}{mol}"/></div> <img src="https://math-demo.abitti.fi/math.svg?latex=m%5Cleft(C_%7B20%7DH_%7B30%7DO%5Cright)%3Dn%5Ccdot%20M%3D2%7B%2C%7D5%5Ccdot10%5E%7B-9%7Dmol%5Ccdot286%7B%2C%7D44%5Cfrac%7Bg%7D%7Bmol%7D%3D7%7B%2C%7D161%5Ccdot10%5E%7B-7%7D%5Capprox0%7B%2C%7D72%5Ccdot10%5E%7B-6%7Dg%3D0%7B%2C%7D72%C2%B5g" alt="m\left(C_{20}H_{30}O\right)=n\cdot M=2{,}5\cdot10^{-9}mol\cdot286{,}44\frac{g}{mol}=7{,}161\cdot10^{-7}\approx0{,}72\cdot10^{-6}g=0{,}72µg"/><br/> f) 6,4 pikomoolilla estradiolia (C<sub>18</sub>H<sub>23</sub>O<sub>2</sub>). Anna vastaus nanogrammoina.<br/> <div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=n%3D%5Cfrac%7Bm%7D%7BM%7D" alt="n=\frac{m}{M}"/></div> n= Aine määrä (mol) <div>m= Massa (g)</div> <div>M= Moolimassa (g/mol)</div> <div> </div> <img src="https://math-demo.abitti.fi/math.svg?latex=n%5Cleft(C_%7B18%7DH_%7B23%7DO_2%5Cright)%3D6%7B%2C%7D4%5Ccdot10%5E%7B-12%7Dmol" alt="n\left(C_{18}H_{23}O_2\right)=6{,}4\cdot10^{-12}mol"/></div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=M%5Cleft(C_%7B18%7DH_%7B23%7DO_2%5Cright)%3D12%7B%2C%7D01%5Cfrac%7Bg%7D%7Bmol%7D%5Ccdot18%2B1%7B%2C%7D008%5Cfrac%7Bg%7D%7Bmol%7D%5Ccdot23%2B16%7B%2C%7D00%5Cfrac%7Bg%7D%7Bmol%7D%5Ccdot2%3D271%7B%2C%7D364%5Cfrac%7Bg%7D%7Bmol%7D" alt="M\left(C_{18}H_{23}O_2\right)=12{,}01\frac{g}{mol}\cdot18+1{,}008\frac{g}{mol}\cdot23+16{,}00\frac{g}{mol}\cdot2=271{,}364\frac{g}{mol}"/></div> <img src="https://math-demo.abitti.fi/math.svg?latex=m%5Cleft(C_%7B18%7DH_%7B23%7DO_2%5Cright)%3Dn%5Ccdot%20M%3D6%7B%2C%7D4%5Ccdot10%5E%7B-12%7Dmol%5Ccdot271%7B%2C%7D364%5Cfrac%7Bg%7D%7Bmol%7D%3D1%7B%2C%7D737%5Ccdot10%5E%7B-9%7D%5Capprox1%7B%2C%7D7%5Ccdot10%5E%7B-9%7Dg%3D1%7B%2C%7D7ng" alt="m\left(C_{18}H_{23}O_2\right)=n\cdot M=6{,}4\cdot10^{-12}mol\cdot271{,}364\frac{g}{mol}=1{,}737\cdot10^{-9}\approx1{,}7\cdot10^{-9}g=1{,}7ng"/><br/> g) 3,0*10<sup>-4</sup> moolilla klorofyllia (C<sub>51</sub>H<sub>72</sub>O<sub>4</sub>N<sub>4</sub>Mg). Anna vastaus milligrammoina.<br/> <div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=n%3D%5Cfrac%7Bm%7D%7BM%7D" alt="n=\frac{m}{M}"/></div> n= Aine määrä (mol) <div>m= Massa (g)</div> <div>M= Moolimassa (g/mol)</div> <div> </div> <img src="https://math-demo.abitti.fi/math.svg?latex=n%5Cleft(C_%7B51%7DH_%7B72%7DO_4N_4Mg%5Cright)%3D3%7B%2C%7D0%5Ccdot10%5E%7B-4%7Dmol" alt="n\left(C_{51}H_{72}O_4N_4Mg\right)=3{,}0\cdot10^{-4}mol"/></div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=M%5Cleft(C_%7B51%7DH_%7B72%7DO_4N_4Mg%5Cright)%3D12%7B%2C%7D01%5Cfrac%7Bg%7D%7Bmol%7D%5Ccdot51%2B1%7B%2C%7D008%5Cfrac%7Bg%7D%7Bmol%7D%5Ccdot72%2B16%7B%2C%7D00%5Cfrac%7Bg%7D%7Bmol%7D%5Ccdot4%2B14%7B%2C%7D01%5Cfrac%7Bg%7D%7Bmol%7D%5Ccdot4%2B24%7B%2C%7D31%5Cfrac%7Bg%7D%7Bmol%7D%3D829%7B%2C%7D436%5Cfrac%7Bg%7D%7Bmol%7D" alt="M\left(C_{51}H_{72}O_4N_4Mg\right)=12{,}01\frac{g}{mol}\cdot51+1{,}008\frac{g}{mol}\cdot72+16{,}00\frac{g}{mol}\cdot4+14{,}01\frac{g}{mol}\cdot4+24{,}31\frac{g}{mol}=829{,}436\frac{g}{mol}"/></div> <img src="https://math-demo.abitti.fi/math.svg?latex=m%5Cleft(C_%7B51%7DH_%7B72%7DO_4N_4Mg%5Cright)%3Dn%5Ccdot%20M%3D3%7B%2C%7D0%5Ccdot10%5E%7B-4%7Dmol%5Ccdot829%7B%2C%7D436%5Cfrac%7Bg%7D%7Bmol%7D%3D0%7B%2C%7D248...%5Capprox0%7B%2C%7D25g%3D250mg" alt="m\left(C_{51}H_{72}O_4N_4Mg\right)=n\cdot M=3{,}0\cdot10^{-4}mol\cdot829{,}436\frac{g}{mol}=0{,}248...\approx0{,}25g=250mg"/> 2018-03-09T11:40:02+02:00 S.29 1-11 https://peda.net/id/52d67496237 2018-03-09T11:36:20+02:00 Mikä on ainemäärä<br/> a) Kultaa on 35 milligrammassa?<br/> <div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=n%3D%5Cfrac%7Bm%7D%7BM%7D" alt="n=\frac{m}{M}"/></div> n= Aine määrä (mol) <div>m= Massa (g)</div> <div>M= Moolimassa (g/mol)</div> <div> </div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=m%5Cleft(Au%5Cright)%3D35mg%3D0%7B%2C%7D035g" alt="m\left(Au\right)=35mg=0{,}035g"/></div> <img src="https://math-demo.abitti.fi/math.svg?latex=M%5Cleft(Au%5Cright)%3D196%7B%2C%7D97%5Cfrac%7Bg%7D%7Bmol%7D" alt="M\left(Au\right)=196{,}97\frac{g}{mol}"/></div> <img src="https://math-demo.abitti.fi/math.svg?latex=n%5Cleft(Au%5Cright)%3D%5Cfrac%7Bm%7D%7BM%7D%3D%5Cfrac%7B0%7B%2C%7D035g%7D%7B196%7B%2C%7D97%5Cfrac%7Bg%7D%7Bmol%7D%7D%3D1%7B%2C%7D776%5Ccdot10%5E%7B-4%7D%5Capprox1%7B%2C%7D8%5Ccdot10%5E%7B-4%7Dmol" alt="n\left(Au\right)=\frac{m}{M}=\frac{0{,}035g}{196{,}97\frac{g}{mol}}=1{,}776\cdot10^{-4}\approx1{,}8\cdot10^{-4}mol"/><span> </span><br/> b) Natriumnitraattia (NaNO<sub>3</sub>) on 2,50 gramassa?<br/> <div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=n%3D%5Cfrac%7Bm%7D%7BM%7D" alt="n=\frac{m}{M}"/></div> n= Aine määrä (mol) <div>m= Massa (g)</div> <div>M= Moolimassa (g/mol)</div> <div> </div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=m%5Cleft(NaNO_3%5Cright)%3D2%7B%2C%7D50g" alt="m\left(NaNO_3\right)=2{,}50g"/></div> <img src="https://math-demo.abitti.fi/math.svg?latex=M%5Cleft(NaNO_3%5Cright)%3D22%7B%2C%7D99%5Cfrac%7Bg%7D%7Bmol%7D%2B14%7B%2C%7D01%5Cfrac%7Bg%7D%7Bmol%7D%2B16%7B%2C%7D00%5Cfrac%7Bg%7D%7Bmol%7D%5Ccdot3%3D85%5Cfrac%7Bg%7D%7Bmol%7D" alt="M\left(NaNO_3\right)=22{,}99\frac{g}{mol}+14{,}01\frac{g}{mol}+16{,}00\frac{g}{mol}\cdot3=85\frac{g}{mol}"/></div> <img src="https://math-demo.abitti.fi/math.svg?latex=n%5Cleft(NaNO_3%5Cright)%3D%5Cfrac%7Bm%7D%7BM%7D%3D%5Cfrac%7B2%7B%2C%7D5g%7D%7B85%5Cfrac%7Bg%7D%7Bmol%7D%7D%3D0%7B%2C%7D02941...%5Capprox0%7B%2C%7D0294mol" alt="n\left(NaNO_3\right)=\frac{m}{M}=\frac{2{,}5g}{85\frac{g}{mol}}=0{,}02941...\approx0{,}0294mol"/><span> </span><br/> c) Kolesterolia (C<sub>27</sub>H<sub>46</sub>O) on 4,5 litrassa verta, jos sitä on 0,294 grammaa 1,0 litrassa verta?<br/> <div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=n%3D%5Cfrac%7Bm%7D%7BM%7D" alt="n=\frac{m}{M}"/></div> n= Aine määrä (mol) <div>m= Massa (g)</div> <div>M= Moolimassa (g/mol)</div> <div> </div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=m%5Cleft(C_%7B27%7DH_%7B46%7DO%5Cright)%3D0%7B%2C%7D294g" alt="m\left(C_{27}H_{46}O\right)=0{,}294g"/></div> <img src="https://math-demo.abitti.fi/math.svg?latex=M%5Cleft(C_%7B27%7DH_%7B46%7DO%5Cright)%3D12%7B%2C%7D01%5Cfrac%7Bg%7D%7Bmol%7D%5Ccdot27%2B1%7B%2C%7D008%5Cfrac%7Bg%7D%7Bmol%7D%5Ccdot46%2B16%7B%2C%7D00%5Cfrac%7Bg%7D%7Bmol%7D%3D386%7B%2C%7D638%5Cfrac%7Bg%7D%7Bmol%7D" alt="M\left(C_{27}H_{46}O\right)=12{,}01\frac{g}{mol}\cdot27+1{,}008\frac{g}{mol}\cdot46+16{,}00\frac{g}{mol}=386{,}638\frac{g}{mol}"/></div> <img src="https://math-demo.abitti.fi/math.svg?latex=n%5Cleft(C_%7B27%7DH_%7B46%7DO%5Cright)%3D%5Cfrac%7Bm%7D%7BM%7D%3D%5Cfrac%7B0%7B%2C%7D294g%7D%7B386%7B%2C%7D638%5Cfrac%7Bg%7D%7Bmol%7D%7D%5Ccdot4%7B%2C%7D5%3D3%7B%2C%7D421%5Ccdot10%5E%7B-3%7D%5Capprox3%7B%2C%7D4%5Ccdot10%5E%7B-3%7Dmol" alt="n\left(C_{27}H_{46}O\right)=\frac{m}{M}=\frac{0{,}294g}{386{,}638\frac{g}{mol}}\cdot4{,}5=3{,}421\cdot10^{-3}\approx3{,}4\cdot10^{-3}mol"/><span> </span><br/> d) Vesimolekyylejä on 1,5dl:ssa huoneelämpöistä vettä (eden tiheys on 1,0g/ml)?<br/> <div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=n%3D%5Cfrac%7Bm%7D%7BM%7D" alt="n=\frac{m}{M}"/></div> n= Aine määrä (mol) <div>m= Massa (g)</div> <div>M= Moolimassa (g/mol)</div> <div> </div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=m%5Cleft(H_2O%5Cright)%3D1%7B%2C%7D5dl%3D150ml%3D150%5Ccdot1%5Cfrac%7Bg%7D%7Bml%7D%3D150g" alt="m\left(H_2O\right)=1{,}5dl=150ml=150\cdot1\frac{g}{ml}=150g"/></div> </div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=M%5Cleft(H_2O%5Cright)%3D1%7B%2C%7D008%5Cfrac%7Bg%7D%7Bmol%7D%5Ccdot2%2B16%7B%2C%7D00%5Cfrac%7Bg%7D%7Bmol%7D%3D18%7B%2C%7D016%5Cfrac%7Bg%7D%7Bmol%7D" alt="M\left(H_2O\right)=1{,}008\frac{g}{mol}\cdot2+16{,}00\frac{g}{mol}=18{,}016\frac{g}{mol}"/></div> <img src="https://math-demo.abitti.fi/math.svg?latex=n%5Cleft(H_2O%5Cright)%3D%5Cfrac%7Bm%7D%7BM%7D%3D%5Cfrac%7B150g%7D%7B18%7B%2C%7D016%5Cfrac%7Bg%7D%7Bmol%7D%7D%3D8%7B%2C%7D325...%5Capprox8%7B%2C%7D3mol" alt="n\left(H_2O\right)=\frac{m}{M}=\frac{150g}{18{,}016\frac{g}{mol}}=8{,}325...\approx8{,}3mol"/><br/> e) C-vitamiinia on 1,0 litran tuoremehutölkissä, jos 1,0dl mehua sisältää 35mg C-vitamiinia (C<sub>6</sub>H<sub>8</sub>O<sub>6</sub>)?<br/> <div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=n%3D%5Cfrac%7Bm%7D%7BM%7D" alt="n=\frac{m}{M}"/></div> n= Aine määrä (mol) <div>m= Massa (g)</div> <div>M= Moolimassa (g/mol)</div> <div> </div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=m%5Cleft(C_6H_8O_6%5Cright)%3D35mg%3D0%7B%2C%7D035g%5Cleft(100g%5Cleft(dl%5Cright)%5Cright)" alt="m\left(C_6H_8O_6\right)=35mg=0{,}035g\left(100g\left(dl\right)\right)"/></div> <img src="https://math-demo.abitti.fi/math.svg?latex=1l%3D1000ml%3D1000g" alt="1l=1000ml=1000g"/></div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=M%5Cleft(C_6H_8O_6%5Cright)%3D12%7B%2C%7D01%5Cfrac%7Bg%7D%7Bmol%7D%5Ccdot6%2B1%7B%2C%7D008%5Cfrac%7Bg%7D%7Bmol%7D%5Ccdot8%2B16%7B%2C%7D00%5Cfrac%7Bg%7D%7Bmol%7D%5Ccdot6%3D176%7B%2C%7D124%5Cfrac%7Bg%7D%7Bmol%7D" alt="M\left(C_6H_8O_6\right)=12{,}01\frac{g}{mol}\cdot6+1{,}008\frac{g}{mol}\cdot8+16{,}00\frac{g}{mol}\cdot6=176{,}124\frac{g}{mol}"/></div> <img src="https://math-demo.abitti.fi/math.svg?latex=n%5Cleft(C_6H_8O_6%5Cright)%3D%5Cfrac%7Bm%7D%7BM%7D%3D%5Cfrac%7B0%7B%2C%7D035g%7D%7B176%7B%2C%7D124%5Cfrac%7Bg%7D%7Bmol%7D%7D%3A100%5Ccdot1000%3D0%7B%2C%7D001987...%5Capprox0%7B%2C%7D0020mol" alt="n\left(C_6H_8O_6\right)=\frac{m}{M}=\frac{0{,}035g}{176{,}124\frac{g}{mol}}:100\cdot1000=0{,}001987...\approx0{,}0020mol"/> 2018-03-09T11:36:20+02:00 S.29 1-10 https://peda.net/id/09afc3c622a 2018-03-08T18:28:48+02:00 Laske seuraavien yhdisteiden moolimassat.<br/> a) Etanoli C<sub>2</sub>H<sub>6</sub>O<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=M%5Cleft(C_2H_6O%5Cright)%3D12%7B%2C%7D01%5Cfrac%7Bg%7D%7Bmol%7D%5Ccdot2%2B1%7B%2C%7D008%5Cfrac%7Bg%7D%7Bmol%7D%5Ccdot6%2B16%7B%2C%7D00%5Cfrac%7Bg%7D%7Bmol%7D%3D46%7B%2C%7D068%5Cfrac%7Bg%7D%7Bmol%7D" alt="M\left(C_2H_6O\right)=12{,}01\frac{g}{mol}\cdot2+1{,}008\frac{g}{mol}\cdot6+16{,}00\frac{g}{mol}=46{,}068\frac{g}{mol}"/><br/> b) Ksylitoli C<sub>5</sub>H<sub>12</sub>O<sub>5<br/> </sub><img src="https://math-demo.abitti.fi/math.svg?latex=M%5Cleft(C_5H_%7B12%7DO_5%5Cright)%3D12%7B%2C%7D01%5Cfrac%7Bg%7D%7Bmol%7D%5Ccdot5%2B1%7B%2C%7D008%5Cfrac%7Bg%7D%7Bmol%7D%5Ccdot12%2B16%7B%2C%7D00%5Cfrac%7Bg%7D%7Bmol%7D%5Ccdot5%3D152%7B%2C%7D146%5Cfrac%7Bg%7D%7Bmol%7D" alt="M\left(C_5H_{12}O_5\right)=12{,}01\frac{g}{mol}\cdot5+1{,}008\frac{g}{mol}\cdot12+16{,}00\frac{g}{mol}\cdot5=152{,}146\frac{g}{mol}"/><br/> c) A-vitamiini C<sub>20</sub>H<sub>30</sub>O<sub> <br/> </sub><img src="https://math-demo.abitti.fi/math.svg?latex=M%5Cleft(C_%7B20%7DH_%7B30%7DO%5Cright)%3D12%7B%2C%7D01%5Cfrac%7Bg%7D%7Bmol%7D%5Ccdot20%2B1%7B%2C%7D008%5Cfrac%7Bg%7D%7Bmol%7D%5Ccdot30%2B16%7B%2C%7D00%5Cfrac%7Bg%7D%7Bmol%7D%3D286%7B%2C%7D44%5Cfrac%7Bg%7D%7Bmol%7D" alt="M\left(C_{20}H_{30}O\right)=12{,}01\frac{g}{mol}\cdot20+1{,}008\frac{g}{mol}\cdot30+16{,}00\frac{g}{mol}=286{,}44\frac{g}{mol}"/><br/> d) Kofeiini <span>C</span><sub>8</sub><span>H</span><sub>10</sub><span>N</span><sub>4</sub><span>O</span><sub>2<br/> </sub><img src="https://math-demo.abitti.fi/math.svg?latex=M%5Cleft(C_8H_%7B10%7DN_4O%5Cright)%3D12%7B%2C%7D01%5Cfrac%7Bg%7D%7Bmol%7D%5Ccdot8%2B1%7B%2C%7D008%5Cfrac%7Bg%7D%7Bmol%7D%5Ccdot10%2B14%7B%2C%7D01%5Cfrac%7Bg%7D%7Bmol%7D%5Ccdot4%2B16%7B%2C%7D00%5Cfrac%7Bg%7D%7Bmol%7D%5Ccdot2%3D194%7B%2C%7D20%5Cfrac%7Bg%7D%7Bmol%7D" alt="M\left(C_8H_{10}N_4O\right)=12{,}01\frac{g}{mol}\cdot8+1{,}008\frac{g}{mol}\cdot10+14{,}01\frac{g}{mol}\cdot4+16{,}00\frac{g}{mol}\cdot2=194{,}20\frac{g}{mol}"/><br/> e) Aspartaami <span>C</span><sub>14</sub><span>H</span><sub>18</sub><span>N</span><sub>2</sub><span>O</span><sub>5<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=M%5Cleft(C_%7B14%7DH_%7B18%7DN_2O_5%5Cright)%3D12%7B%2C%7D01%5Cfrac%7Bg%7D%7Bmol%7D%5Ccdot14%2B1%7B%2C%7D008%5Cfrac%7Bg%7D%7Bmol%7D%5Ccdot18%2B14%7B%2C%7D01%5Cfrac%7Bg%7D%7Bmol%7D%5Ccdot2%2B16%7B%2C%7D00%5Cfrac%7Bg%7D%7Bmol%7D%5Ccdot5%3D294%7B%2C%7D304%5Cfrac%7Bg%7D%7Bmol%7D" alt="M\left(C_{14}H_{18}N_2O_5\right)=12{,}01\frac{g}{mol}\cdot14+1{,}008\frac{g}{mol}\cdot18+14{,}01\frac{g}{mol}\cdot2+16{,}00\frac{g}{mol}\cdot5=294{,}304\frac{g}{mol}"/><br/> </sub> 2018-03-08T09:55:15+02:00 S.28 1-9 https://peda.net/id/041f2c9422a 2018-03-09T10:38:32+02:00 <b>Näyte glukoosia <img src="https://math-demo.abitti.fi/math.svg?latex=C_6H_%7B12%7DO_6" alt="C_6H_{12}O_6"/> sisältää 0,100 moolia glukoosia.</b><br/> a) Kuinka monta glukoosimolekyyliä näyte sisältää?<br/> <div><img src="https://math-demo.abitti.fi/math.svg?latex=n%3D%5Cfrac%7BN%7D%7BN_A%7D" alt="n=\frac{N}{N_A}"/></div> <img src="https://math-demo.abitti.fi/math.svg?latex=0%7B%2C%7D100mol%3D%5Cfrac%7BN%7D%7B6%7B%2C%7D022%5Ccdot10%5E%7B23%7D%5Cfrac%7Bg%7D%7Bmol%7D%7D" alt="0{,}100mol=\frac{N}{6{,}022\cdot10^{23}\frac{g}{mol}}"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=N%3D0%7B%2C%7D100mol%5Ccdot6%7B%2C%7D022%5Ccdot10%5E%7B23%7D%5Cfrac%7Bg%7D%7Bmol%7D%5Ccdot2%3D6%7B%2C%7D022%5Ccdot10%5E%7B22%7D" alt="N=0{,}100mol\cdot6{,}022\cdot10^{23}\frac{g}{mol}\cdot2=6{,}022\cdot10^{22}"/><br/> b) Kuinka monta moolia vetyatomeja näyte sisältää?<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=M%5Cleft(H_%7B12%7D%5Cright)%3D12%5Ccdot0%7B%2C%7D100mol%3D1%7B%2C%7D2mol" alt="M\left(H_{12}\right)=12\cdot0{,}100mol=1{,}2mol"/><span> </span><br/> c) Kuinka monta hiiliatomia näyte sisältää?<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=N%5Cleft(C_6%5Cright)%3D6%7B%2C%7D022%5Ccdot10%5E%7B22%7D%5Ccdot6%3D3%7B%2C%7D6132%5Ccdot10%5E%7B23%7D" alt="N\left(C_6\right)=6{,}022\cdot10^{22}\cdot6=3{,}6132\cdot10^{23}"/> 2018-03-08T09:55:06+02:00 S.28 1-8 https://peda.net/id/fe0af63022a 2018-03-08T12:09:59+02:00 Ratkaise atomien luku määrä, kun<br/> a) n(<img src="https://math-demo.abitti.fi/math.svg?latex=Cu" alt="Cu"/>)=0,50 mol<br/> <div><img src="https://math-demo.abitti.fi/math.svg?latex=n%3D%5Cfrac%7BN%7D%7BN_A%7D" alt="n=\frac{N}{N_A}"/></div> <img src="https://math-demo.abitti.fi/math.svg?latex=0%7B%2C%7D50mol%3D%5C%20%5Cfrac%7BN%7D%7B6%7B%2C%7D022%5Ccdot10%5E%7B23%7D%5Cfrac%7Bg%7D%7Bmol%7D%7D" alt="0{,}50mol=\ \frac{N}{6{,}022\cdot10^{23}\frac{g}{mol}}"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=N%3D0%7B%2C%7D50mol%5Ccdot6.022%5Ccdot10%5E%7B23%7D%5Cfrac%7Bg%7D%7Bmol%7D%3D3%7B%2C%7D011%5Ccdot10%5E%7B23%7D" alt="N=0{,}50mol\cdot6.022\cdot10^{23}\frac{g}{mol}=3{,}011\cdot10^{23}"/><br/> b) n(<img src="https://math-demo.abitti.fi/math.svg?latex=C" alt="C"/>)=40 mmol<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=40mmol%3D0%7B%2C%7D04mol" alt="40mmol=0{,}04mol"/> <div><img src="https://math-demo.abitti.fi/math.svg?latex=n%3D%5Cfrac%7BN%7D%7BN_A%7D" alt="n=\frac{N}{N_A}"/></div> <img src="https://math-demo.abitti.fi/math.svg?latex=0%7B%2C%7D04mol%3D%5Cfrac%7BN%7D%7B6%7B%2C%7D022%5Ccdot10%5E%7B23%7D%5Cfrac%7Bg%7D%7Bmol%7D%7D" alt="0{,}04mol=\frac{N}{6{,}022\cdot10^{23}\frac{g}{mol}}"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=N%3D0%7B%2C%7D04mol%5Ccdot6%7B%2C%7D022%5Ccdot10%5E%7B23%7D%5Cfrac%7Bg%7D%7Bmol%7D%3D2%7B%2C%7D4088%5Ccdot10%5E%7B22%7D%5C%20" alt="N=0{,}04mol\cdot6{,}022\cdot10^{23}\frac{g}{mol}=2{,}4088\cdot10^{22}\ "/><br/> c) n(<img src="https://math-demo.abitti.fi/math.svg?latex=O_2" alt="O_2"/>)= 4,0 mol<br/> <div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=n%3D%5Cfrac%7BN%7D%7BN_A%7D" alt="n=\frac{N}{N_A}"/></div> <img src="https://math-demo.abitti.fi/math.svg?latex=4%7B%2C%7D0mol%3D%5Cfrac%7BN%7D%7B6%7B%2C%7D022%5Ccdot10%5E%7B23%7D%5Cfrac%7Bg%7D%7Bmol%7D%7D%5Ccdot2" alt="4{,}0mol=\frac{N}{6{,}022\cdot10^{23}\frac{g}{mol}}\cdot2"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=N%3D4%7B%2C%7D0mol%5Ccdot6%7B%2C%7D022%5Ccdot10%5E%7B23%7D%5Cfrac%7Bg%7D%7Bmol%7D%5Ccdot2%3D4%7B%2C%7D8176%5Ccdot10%5E%7B24%7D" alt="N=4{,}0mol\cdot6{,}022\cdot10^{23}\frac{g}{mol}\cdot2=4{,}8176\cdot10^{24}"/></div> 2018-03-08T09:54:56+02:00 S.20 1-4 https://peda.net/id/ba37492a229 2018-03-08T08:55:46+02:00 a) 14<br/> b) 28, 29, 30<br/> c) 14, 15, 16<br/> d)<br/>  <img src="https://math-demo.abitti.fi/math.svg?latex=A_r%3D%5Cfrac%7B27%7B%2C%7D976927%5Ccdot92%7B%2C%7D23%2B28%7B%2C%7D976495%5Ccdot4%7B%2C%7D67%2B29%7B%2C%7D973770%5Ccdot3%7B%2C%7D10%7D%7B100%7D" alt="A_r=\frac{27{,}976927\cdot92{,}23+28{,}976495\cdot4{,}67+29{,}973770\cdot3{,}10}{100}"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%3D28%7B%2C%7D0855...%5Capprox28%7B%2C%7D086" alt="=28{,}0855...\approx28{,}086"/> 2018-03-08T08:55:46+02:00