https://peda.net/id/cce27128205 2018-03-05T12:05:58+02:00 https://peda.net/:static/532/peda.net.logo.bg.svg <div class="license">Tämän sivun lisenssi <a rel="license" href="https://peda.net/info">Peda.net-yleislisenssi</a></div> https://peda.net/id/ee9fc7e43bc 2018-04-09T21:25:23+03:00 <a href="https://peda.net/p/kirin_porsti/fysikka/fy2s/s-121-13-7/13-7-png#top" title="13-7.PNG"><img src="https://peda.net/p/kirin_porsti/fysikka/fy2s/s-121-13-7/13-7-png:file/photo/74108713d1da6c96db25ef176bafbf94d18a3126/13-7.PNG" alt="" title="13-7.PNG" class="inline" loading="lazy"/></a><br/> Logger-pro:n mukaan etanolin ominaishöyrystymislämpö on 872,8kJ/kg<br/> <br/> 2018-04-09T09:55:04+03:00 https://peda.net/id/e940abec3bc 2018-04-09T21:23:15+03:00 a)<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=Q%3Dsm%3D333%5Cfrac%7BkJ%7D%7Bkg%7D%5Ccdot0%7B%2C%7D15kg%3D49%7B%2C%7D95%5Capprox50kJ" alt="Q=sm=333\frac{kJ}{kg}\cdot0{,}15kg=49{,}95\approx50kJ"/><br/> b)<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=Q%3Drm%3D6800%5Cfrac%7BkJ%7D%7Bkg%7D%5Ccdot0%7B%2C%7D012kg%3D81%7B%2C%7D6%5Capprox82kJ" alt="Q=rm=6800\frac{kJ}{kg}\cdot0{,}012kg=81{,}6\approx82kJ"/> 2018-04-09T09:54:55+03:00 https://peda.net/id/e445fc323bc 2018-04-09T21:23:36+03:00 <img src="https://math-demo.abitti.fi/math.svg?latex=Q%3Dsm%3D64%5Cfrac%7BkJ%7D%7B%5Cleft(kg%5Cright)%7D%5Ccdot30%7B%2C%7D0kg%3D1920kJ" alt="Q=sm=64\frac{kJ}{\left(kg\right)}\cdot30{,}0kg=1920kJ"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=1920kJ%3A58%5Ccdot100%3D3310%7B%2C%7D344828%5Capprox3300kJ" alt="1920kJ:58\cdot100=3310{,}344828\approx3300kJ"/> 2018-04-09T09:54:47+03:00 https://peda.net/id/df59c1683bc 2018-04-10T08:26:03+03:00 a) <br/> Veden haihuminen iholta sitoo energiaa.<br/> b) <br/> Kynsilakanpoistoaineen haihtuminen iholta sitoo energiaa.<br/> c)<br/> <ul> <li>Pullon lämpötila on korkeampi kuin kylmäpyyhe</li> <li>Veden haihtuminen märkäpyyheltä sitoo energiaa, ja se ottaa pullolta sitä energiaa.</li> </ul> 2018-04-09T09:54:39+03:00 https://peda.net/id/24bac6a83b2 2018-04-08T15:31:30+03:00 a)<br/> 1. T&lt;273,15K<br/> 2. 273,15K&lt;T&lt;373,15K<br/> 3. 373,15K&lt;T&lt;647,4K<br/> 4. T&gt;647,4K<br/> b)<br/> p&gt;0,00061Mpa<br/> c)<br/> 1. Jähmentyy<br/> 2. Tiivistyy<br/> d)<br/> Höyry<br/> <br/> 2018-04-08T14:51:16+03:00 https://peda.net/id/1daa63aa3b2 2018-04-09T08:58:38+03:00 a) <br/> Olonmuodon muutoksessa lämpötila ei muutu<br/> b) <br/> Silloin kun pullo on vielä jääkaapissa, jääkaapissa oleva kastepiste on veden jäähtymispistettä alempi, sen seurauksena vesihöyry härmistyy kylmille pullon pinnalle kuuraksi. <br/> Kun sitä otetaan pois jääkaapista, Sen ympäröivä lämpötila on korkeampi kuin aikasemmin, siitä seuraa kuuran sulaminen vesipisaraksi. 2018-04-08T14:51:04+03:00 https://peda.net/id/0f4db28a3b2 2018-04-09T08:41:50+03:00 a)<br/> Kiinteä, neste ja kaasu<br/> b) <br/> 1. Sublimoituminen <br/> 2. Sulaminen<br/> 3. Höyrystyminen<br/> c)<br/> Aine A:lla on matalampi sulamispiste kuin B:llä 2018-04-08T14:50:40+03:00 https://peda.net/id/fa129dd63b2 2018-04-08T15:03:33+03:00 a) B<br/> b) B<br/> c) A<br/> d) B<br/> <br/> 2018-04-08T14:50:04+03:00 https://peda.net/id/cf4d7384370 2018-04-09T08:41:07+03:00 <div> <div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=T_1%3D25%C2%B0C%3D298%7B%2C%7D15K" alt="T_1=25°C=298{,}15K"/></div> <img src="https://math-demo.abitti.fi/math.svg?latex=p_1%3D102%7B%2C%7D1kPa%3D102%7B%2C%7D1%5Ccdot10%5E3Pa" alt="p_1=102{,}1kPa=102{,}1\cdot10^3Pa"/></div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=T_2%3D-18%C2%B0C%3D255%7B%2C%7D15K" alt="T_2=-18°C=255{,}15K"/></div> <div> <div>Vakiotilavuudessa muutos noudattaa Gay-lussacian lakia.</div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=%5Cfrac%7Bp_1%7D%7BT_1%7D%3D%5Cfrac%7Bp_2%7D%7BT_2%7D%5C%20%3C%3D%3Ep_2%3D%5Cfrac%7Bp_1T_2%7D%7BT_1%7D" alt="\frac{p_1}{T_1}=\frac{p_2}{T_2}\ &lt;=&gt;p_2=\frac{p_1T_2}{T_1}"/><!--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><img src="https://math-demo.abitti.fi/math.svg?latex=p_2%3D%5Cfrac%7B102%7B%2C%7D1%5Ccdot10%5E3Pa%5Ccdot255%7B%2C%7D15K%7D%7B298%7B%2C%7D15K%7D%3D87374%7B%2C%7D8616Pa" alt="p_2=\frac{102{,}1\cdot10^3Pa\cdot255{,}15K}{298{,}15K}=87374{,}8616Pa"/></div> Pullon korkkiin aiheuttaa voima sisä- ja ulkopuolinen paine-ero.</div> <div>Oletetaan, että lkopuolella on normaali ilmanpaine <img src="https://math-demo.abitti.fi/math.svg?latex=P_0%3D102%7B%2C%7D1%5Ccdot10%5E3Pa" alt="P_0=102{,}1\cdot10^3Pa"/>, Joten voiman aiheuttaa paine on <img src="https://math-demo.abitti.fi/math.svg?latex=p%3Dp_0-p_2%3D102%7B%2C%7D1%5Ccdot10%5E3Pa-87374%7B%2C%7D8616Pa%3D13925%7B%2C%7D138Pa" alt="p=p_0-p_2=102{,}1\cdot10^3Pa-87374{,}8616Pa=13925{,}138Pa"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=p%3D%5Cfrac%7BF%7D%7BA%5C%20%7D%3C%3D%3EF%3DpA" alt="p=\frac{F}{A\ }&lt;=&gt;F=pA"/><!--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=A%3D4%7B%2C%7D3cm%5E2%3D0.00043m%5E2" alt="A=4{,}3cm^2=0.00043m^2"/></div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=F%3D13925%7B%2C%7D138Pa%5Ccdot0%7B%2C%7D00043m%5E2%3D5%7B%2C%7D9878N%5Capprox6%7B%2C%7D0N" alt="F=13925{,}138Pa\cdot0{,}00043m^2=5{,}9878N\approx6{,}0N"/></div> 2018-04-03T09:54:09+03:00 https://peda.net/id/c957716e370 2018-04-09T08:43:36+03:00 <div> <div> <div><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=T_1%3D22%C2%B0C%3D295%7B%2C%7D15K" alt="T_1=22°C=295{,}15K"/></div> <img src="https://math-demo.abitti.fi/math.svg?latex=V_1%3D2%7B%2C%7D0l%3D2%7B%2C%7D0dm%5E3" alt="V_1=2{,}0l=2{,}0dm^3"/></div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=V_2%3D2%7B%2C%7D0dm%5E3%5Ccdot1%7B%2C%7D25%3D2%7B%2C%7D5dm%5E3" alt="V_2=2{,}0dm^3\cdot1{,}25=2{,}5dm^3"/></div> <div>Muutos noudattaa <span>Charlesin lakia, </span>jolloin</div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=%5Cfrac%7BV_1%7D%7BT_1%7D%3D%5Cfrac%7BV_2%7D%7BT_2%7D%3C%3D%3EV_1T_2%3DV_2T_1" alt="\frac{V_1}{T_1}=\frac{V_2}{T_2}&lt;=&gt;V_1T_2=V_2T_1"/><!--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=T_2%3D%5Cfrac%7BV_2T_1%7D%7BV_1%7D%3D%5Cfrac%7B2%7B%2C%7D5dm%5E3%5Ccdot295%7B%2C%7D15K%7D%7B2%7B%2C%7D0dm%5E3%7D%3D368%7B%2C%7D9375K" alt="T_2=\frac{V_2T_1}{V_1}=\frac{2{,}5dm^3\cdot295{,}15K}{2{,}0dm^3}=368{,}9375K"/></div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=%5CDelta%20T%3DT_2-T_1%3D368%7B%2C%7D9375K-295%7B%2C%7D15K%3D73%7B%2C%7D7875K%5Capprox74%C2%B0C" alt="\Delta T=T_2-T_1=368{,}9375K-295{,}15K=73{,}7875K\approx74°C"/></div> 2018-04-03T09:53:59+03:00 https://peda.net/id/c3d6318a370 2018-04-03T12:25:51+03:00 <a href="https://peda.net/p/kirin_porsti/fysikka/fy2s/s-101-11-2/11-2-png#top" title="11-2.PNG"><img src="https://peda.net/p/kirin_porsti/fysikka/fy2s/s-101-11-2/11-2-png:file/photo/e3524e1511c8330357dfc1ee2f1e46cae7efc618/11-2.PNG" alt="" title="11-2.PNG" class="inline" loading="lazy"/></a>a) Että ne ovat suoraan verrannollisia.<br/> b) Pisteet eivät ovat täsmälleen kuvaajalla. 2018-04-03T09:53:50+03:00 https://peda.net/id/bf2468dc370 2018-04-03T12:24:23+03:00 <div> <div> <div> <div> <div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=V_1%3D250dm%5E3" alt="V_1=250dm^3"/></div> <img src="https://math-demo.abitti.fi/math.svg?latex=p_1%3D220kPa%3D220%5Ccdot10%5E3Pa" alt="p_1=220kPa=220\cdot10^3Pa"/></div> <img src="https://math-demo.abitti.fi/math.svg?latex=V_2%3D150dm%5E3" alt="V_2=150dm^3"/></div> <div>Muutos naudattaa Boylen lakia, jolloin</div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=p_1V_1%3Dp_2V_2%3C%3D%3Ep_2%3D%5Cfrac%7Bp_1V_1%7D%7BV_2%7D" alt="p_1V_1=p_2V_2&lt;=&gt;p_2=\frac{p_1V_1}{V_2}"/><!--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=p_2%3D%5Cfrac%7B220%5Ccdot10%5E3Pa%5Ccdot250dm%5E3%7D%7B150dm%5E3%7D%3D366666%7B%2C%7D6667%5Capprox370kPa" alt="p_2=\frac{220\cdot10^3Pa\cdot250dm^3}{150dm^3}=366666{,}6667\approx370kPa"/></div> </div> </div> 2018-04-03T09:53:42+03:00 https://peda.net/id/b29eaf9a319 2018-04-03T08:44:37+03:00 <img src="https://math-demo.abitti.fi/math.svg?latex=V_1%3D40dm%5E3%3D0%7B%2C%7D04m%5E3" alt="V_1=40dm^3=0{,}04m^3"/> <div><img src="https://math-demo.abitti.fi/math.svg?latex=p_1%3D10%7B%2C%7D0MPa%3D10%7B%2C%7D0%5Ccdot10%5E6Pa" alt="p_1=10{,}0MPa=10{,}0\cdot10^6Pa"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=p_0%3D101%7B%2C%7D3kpa%3D101325Pa" alt="p_0=101{,}3kpa=101325Pa"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=T_1%3D17%C2%B0C%3D17%C2%B0C%5C%20%2B273%7B%2C%7D15%3D290%7B%2C%7D15K" alt="T_1=17°C=17°C\ +273{,}15=290{,}15K"/></div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=%5Crho_%7BNTP%7D%3D1%7B%2C%7D43%5Cfrac%7Bmol%7D%7Bdm%5E3%7D" alt="\rho_{NTP}=1{,}43\frac{mol}{dm^3}"/> <br/> <img src="https://math-demo.abitti.fi/math.svg?latex=T_%7BNTP%7D%3D273%7B%2C%7D15K" alt="T_{NTP}=273{,}15K"/> <br/> <br/> </div> <div>Lasketaan mikä olisi kyseisen kaasun tilavuus normaaliolosuhteissa. Kun kaasu määrä ei muutu, sen massa pysyy vakiona</div> <div> </div> <div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=%5Cfrac%7Bp_1V_1%7D%7BT_1%7D%3D%5Cfrac%7Bp_%7BNTP%7DV_%7BNTP%7D%7D%7BT_%7BNTP%7D%7D" alt="\frac{p_1V_1}{T_1}=\frac{p_{NTP}V_{NTP}}{T_{NTP}}"/><br/> <br/> </div> <div>, jolloin <br/> <br/> </div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=p_1V_1T_%7BNTP%7D%3Dp_%7BNTP%7DV_%7BNTP%7DT_1" alt="p_1V_1T_{NTP}=p_{NTP}V_{NTP}T_1"/></div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=V_%7BNTP%7D%3D%5Cfrac%7Bp_1V_1T_%7BNTP%7D%7D%7BT_1p_%7BNTP%7D%7D" alt="V_{NTP}=\frac{p_1V_1T_{NTP}}{T_1p_{NTP}}"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=V_%7BNTP%7D%3D%5Cfrac%7B10%7B%2C%7D0%5Ccdot10%5E6Pa%5Ccdot40%7B%2C%7D0dm%5E3%5Ccdot273%7B%2C%7D15K%7D%7B290%7B%2C%7D15K%5Ccdot101325Pa%7D%3D3716%7B%2C%7D3962dm%5E3" alt="V_{NTP}=\frac{10{,}0\cdot10^6Pa\cdot40{,}0dm^3\cdot273{,}15K}{290{,}15K\cdot101325Pa}=3716{,}3962dm^3"/><br/> <br/> </div> <div>Tiheydelle on <br/> <br/> </div> <img src="https://math-demo.abitti.fi/math.svg?latex=%5Crho_%7BNTP%7D%3D%5Cfrac%7Bm%7D%7BV_%7BNTP%7D%7D" alt="\rho_{NTP}=\frac{m}{V_{NTP}}"/></div> <div>eli massa on </div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=m%3D%5Crho_%7BNTP%7D%5Ccdot%20V_%7BNTP%7D" alt="m=\rho_{NTP}\cdot V_{NTP}"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%3D1%7B%2C%7D43%5Cfrac%7Bg%7D%7Bdm%5E3%7D%5Ccdot3716%7B%2C%7D3962dm%5E3" alt="=1{,}43\frac{g}{dm^3}\cdot3716{,}3962dm^3"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%3D5314%7B%2C%7D447g" alt="=5314{,}447g"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%5Capprox5%7B%2C%7D3kg" alt="\approx5{,}3kg"/><br/> <div> </div> <div><br/> <div> </div> <div><br/> <div><span> </span><br/> <br/> </div> </div> </div> </div> 2018-03-27T12:10:30+03:00 https://peda.net/id/aaba19f4319 2018-03-27T12:29:52+03:00 <img src="https://math-demo.abitti.fi/math.svg?latex=V_1%3D1%7B%2C%7D5l%3D0%7B%2C%7D0015m%5E3" alt="V_1=1{,}5l=0{,}0015m^3"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=V_2%3D1%7B%2C%7D5l%3D0%7B%2C%7D0015m%5E3" alt="V_2=1{,}5l=0{,}0015m^3"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=p_1%3D101%7B%2C%7D3kPa" alt="p_1=101{,}3kPa"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=p_2%3Dx" alt="p_2=x"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=t_1%3D25%C2%B0C%3D25%C2%B0C%5C%20%2B273%7B%2C%7D15%3D298%7B%2C%7D15K" alt="t_1=25°C=25°C\ +273{,}15=298{,}15K"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=t_2%3D-25%C2%B0C%3D-25%C2%B0C%2B273%7B%2C%7D15%3D248%7B%2C%7D15K" alt="t_2=-25°C=-25°C+273{,}15=248{,}15K"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%5Cfrac%7Bp_1V_1%7D%7BT_1%7D%3D%5Cfrac%7Bp_2V_2%7D%7BT_2%7D" alt="\frac{p_1V_1}{T_1}=\frac{p_2V_2}{T_2}"/><span>, jolloin </span><img src="https://math-demo.abitti.fi/math.svg?latex=p_1V_1T_2%3Dp_2V_2T_1" alt="p_1V_1T_2=p_2V_2T_1"/><br/> <div>Jolloin</div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=p_2%3D%5Cfrac%7Bp_1V_1T_2%7D%7BV_2T_1%7D%3D%5Cfrac%7B101%7B%2C%7D3kpa%5Ccdot0%7B%2C%7D0015m%5E3%5Ccdot248%7B%2C%7D15K%7D%7B0%7B%2C%7D0015m%5E3%5Ccdot298%7B%2C%7D15K%7D%3D84%7B%2C%7D31...%5Capprox84kPa" alt="p_2=\frac{p_1V_1T_2}{V_2T_1}=\frac{101{,}3kpa\cdot0{,}0015m^3\cdot248{,}15K}{0{,}0015m^3\cdot298{,}15K}=84{,}31...\approx84kPa"/></div> 2018-03-27T12:10:17+03:00 https://peda.net/id/a5416798319 2018-03-27T12:24:59+03:00 <br/> <img src="https://math-demo.abitti.fi/math.svg?latex=V_1%3D75cm%5E3%3D75%5Ccdot10%5E%7B-6%7Dm%5E3" alt="V_1=75cm^3=75\cdot10^{-6}m^3"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=V_2%3D33cm%5E3%3D33%5Ccdot10%5E%7B-6%7Dm%5E3" alt="V_2=33cm^3=33\cdot10^{-6}m^3"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=p_1%3D101%7B%2C%7D3kPa" alt="p_1=101{,}3kPa"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=p_2%3Dx" alt="p_2=x"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=t_1%3D18%C2%B0C%3D18%C2%B0C%5C%20%2B273%7B%2C%7D15%3D291%7B%2C%7D15K" alt="t_1=18°C=18°C\ +273{,}15=291{,}15K"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=t_2%3D37%C2%B0C%3D37%C2%B0C%2B273%7B%2C%7D15%3D310%7B%2C%7D15K" alt="t_2=37°C=37°C+273{,}15=310{,}15K"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%5Cfrac%7Bp_1V_1%7D%7BT_1%7D%3D%5Cfrac%7Bp_2V_2%7D%7BT_2%7D" alt="\frac{p_1V_1}{T_1}=\frac{p_2V_2}{T_2}"/><span>, jolloin </span><img src="https://math-demo.abitti.fi/math.svg?latex=p_1V_1T_2%3Dp_2V_2T_1" alt="p_1V_1T_2=p_2V_2T_1"/><br/> <div>Jolloin</div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=p_2%3D%5Cfrac%7Bp_1V_1T_2%7D%7BV_2T_1%7D%3D%5Cfrac%7B101%7B%2C%7D3kpa%5Ccdot75%5Ccdot10%5E%7B-6%7Dm%5E3%5Ccdot310%7B%2C%7D15K%7D%7B33%5Ccdot10%5E%7B-6%7Dm%5E3%5Ccdot291%7B%2C%7D15K%7D%3D245%7B%2C%7D2515...%5Capprox245%7B%2C%7D3kPa%3D0%7B%2C%7D25mPa" alt="p_2=\frac{p_1V_1T_2}{V_2T_1}=\frac{101{,}3kpa\cdot75\cdot10^{-6}m^3\cdot310{,}15K}{33\cdot10^{-6}m^3\cdot291{,}15K}=245{,}2515...\approx245{,}3kPa=0{,}25mPa"/></div> 2018-03-27T12:10:07+03:00 https://peda.net/id/9e5fcd8e319 2018-03-27T12:09:56+03:00 <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> </div> <span>n= Aine määrä (mol)</span> <div>m= Massa (g)</div> <div>M= Moolimassa (g/mol)</div> <div> </div> <img src="https://math-demo.abitti.fi/math.svg?latex=m%5Cleft(H_2%5Cright)%3D12g" alt="m\left(H_2\right)=12g"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=M%5Cleft(H_2%5Cright)%3D1%7B%2C%7D008%5Cfrac%7Bg%7D%7Bmol%7D%5Ccdot2%3D2%7B%2C%7D016%5Cfrac%7Bg%7D%7Bmol%7D" alt="M\left(H_2\right)=1{,}008\frac{g}{mol}\cdot2=2{,}016\frac{g}{mol}"/><br/> <div><img src="https://math-demo.abitti.fi/math.svg?latex=n%3D%5Cfrac%7Bm%7D%7BM%7D%3D%5Cfrac%7B12g%7D%7B2%7B%2C%7D016%5Cfrac%7Bg%7D%7Bmol%7D%7D%3D5%7B%2C%7D9523...%5Capprox6%7B%2C%7D0mol" alt="n=\frac{m}{M}=\frac{12g}{2{,}016\frac{g}{mol}}=5{,}9523...\approx6{,}0mol"/></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; color: #333333; font-family: 'Times New Roman'; font-size: 17px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration-style: initial; text-decoration-color: initial;"--><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=N%5Cleft(H_2%5Cright)%3D5%7B%2C%7D952mol%5Ccdot6%7B%2C%7D022%5Ccdot10%5E%7B23%7D%3D3%7B%2C%7D584%5Ccdot10%5E%7B24%7D%5Capprox3%7B%2C%7D6%5Ccdot10%5E%7B24%7D" alt="N\left(H_2\right)=5{,}952mol\cdot6{,}022\cdot10^{23}=3{,}584\cdot10^{24}\approx3{,}6\cdot10^{24}"/> 2018-03-27T12:09:56+03:00 https://peda.net/id/c7d3339a30c 2018-03-27T08:50:33+03:00 a)<br/> <br/> <img src="https://math-demo.abitti.fi/math.svg?latex=m_v%3D0%7B%2C%7D50kg" alt="m_v=0{,}50kg"/> <div><img src="https://math-demo.abitti.fi/math.svg?latex=m_j%3D0%7B%2C%7D30kg" alt="m_j=0{,}30kg"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=t_v%3D42%C2%B0C" alt="t_v=42°C"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=t_j%3D0%C2%B0C" alt="t_j=0°C"/></div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=c_v%3D4%7B%2C%7D19%5Cfrac%7Bkj%7D%7B%5Cleft(kg%5Ccdot%20K%5Cright)%7D" alt="c_v=4{,}19\frac{kj}{\left(kg\cdot K\right)}"/></div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=%5CDelta%20T_v%3D42K" alt="\Delta T_v=42K"/></div> <span>Veden luovuttama energia on:</span><br/> <div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=Q_v%3Dc_vm_v%5CDelta%20T_v" alt="Q_v=c_vm_v\Delta T_v"/></div> <img src="https://math-demo.abitti.fi/math.svg?latex=%3D4%7B%2C%7D19%5Cfrac%7Bkj%7D%7B%5Cleft(kg%5Ccdot%20K%5Cright)%7D%5Ccdot0%7B%2C%7D50kg%5Ccdot42K%3D87%7B%2C%7D99%5Capprox88kj" alt="=4{,}19\frac{kj}{\left(kg\cdot K\right)}\cdot0{,}50kg\cdot42K=87{,}99\approx88kj"/></div> <div><br/> b)<br/> <br/> </div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=Q_j%3D0%7B%2C%7D30kg%5Ccdot333%5Cfrac%7Bkj%7D%7Bkg%7D%3D99%7B%2C%7D9kj" alt="Q_j=0{,}30kg\cdot333\frac{kj}{kg}=99{,}9kj"/></div> <span>Siis veden luovuttama energia ei riitä jään sulattamiseen, jolloin lopputuloksena on veden ja jään seos ja lämpötila on 0°C</span> 2018-03-26T09:56:16+03:00 https://peda.net/id/c13f921c30c 2018-03-27T08:38:56+03:00 <br/> <img src="https://math-demo.abitti.fi/math.svg?latex=m_v%3D25kg" alt="m_v=25kg"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%5CDelta%20T_1%3D18K" alt="\Delta T_1=18K"/> <div><img src="https://math-demo.abitti.fi/math.svg?latex=%5CDelta%20T_2%3D6K" alt="\Delta T_2=6K"/><br/> <div><img src="https://math-demo.abitti.fi/math.svg?latex=c_v%3D4%7B%2C%7D1819%5Cfrac%7Bkj%7D%7B%5Cleft(kg%5Ccdot%20K%5Cright)%7D%3D4181%7B%2C%7D9%5C%20%5Cfrac%7Bj%7D%7B%5Cleft(kg%5Ccdot%20K%5Cright)%7D" alt="c_v=4{,}1819\frac{kj}{\left(kg\cdot K\right)}=4181{,}9\ \frac{j}{\left(kg\cdot K\right)}"/><br/> <div><img src="https://math-demo.abitti.fi/math.svg?latex=m_v%3D%5Cfrac%7Bc_vm_v%5CDelta%20T_2%7D%7Bc_v%5CDelta%20T_1%7D%3D%5Cfrac%7B4%7B%2C%7D1819%5Cfrac%7Bkj%7D%7B%5Cleft(kg%5Ccdot%20K%5Cright)%7D%5Ccdot25kg%5Ccdot6K%7D%7B4%7B%2C%7D1819%5Cfrac%7Bkj%7D%7B%5Cleft(kg%5Ccdot%20K%5Cright)%7D%5Ccdot18K%7D%3D8%7B%2C%7D333...%5Capprox8kg" alt="m_v=\frac{c_vm_v\Delta T_2}{c_v\Delta T_1}=\frac{4{,}1819\frac{kj}{\left(kg\cdot K\right)}\cdot25kg\cdot6K}{4{,}1819\frac{kj}{\left(kg\cdot K\right)}\cdot18K}=8{,}333...\approx8kg"/></div> </div> </div> 2018-03-26T09:56:05+03:00 https://peda.net/id/bb10d37430c 2018-03-26T22:58:14+03:00 b), d) 2018-03-26T09:55:55+03:00 https://peda.net/id/0f96fbb62e9 2018-03-26T22:56:46+03:00 <br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%5CDelta%20l%3D%5Calpha%20l_0%5CDelta%20T" alt="\Delta l=\alpha l_0\Delta T"/><br/> <div><img src="https://math-demo.abitti.fi/math.svg?latex=t_1%3D20%C2%B0C" alt="t_1=20°C"/></div> <img src="https://math-demo.abitti.fi/math.svg?latex=t_2%3D95%C2%B0C" alt="t_2=95°C"/><br/> <div><img src="https://math-demo.abitti.fi/math.svg?latex=%5Calpha%3D20%7B%2C%7D8%5Ccdot10%5E%7B-6%7D%5Cfrac%7B1%7D%7BK%7D" alt="\alpha=20{,}8\cdot10^{-6}\frac{1}{K}"/></div> <img src="https://math-demo.abitti.fi/math.svg?latex=%5CDelta%20t%3Dt_2-t_1%3D95%C2%B0C-20%C2%B0C%3D75%C2%B0C" alt="\Delta t=t_2-t_1=95°C-20°C=75°C"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%5CDelta%20T%3D75K" alt="\Delta T=75K"/> <div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=%5CDelta%20l%3D20%7B%2C%7D8%5Ccdot10%5E%7B-6%7D%5Cfrac%7B1%7D%7BK%7D%5Ccdot65%7B%2C%7D00mm%5Ccdot75K%3D0%7B%2C%7D1014%5Capprox0%7B%2C%7D10mm" alt="\Delta l=20{,}8\cdot10^{-6}\frac{1}{K}\cdot65{,}00mm\cdot75K=0{,}1014\approx0{,}10mm"/></div> </div> 2018-03-23T14:16:48+02:00 https://peda.net/id/0af993fc2e9 2018-03-26T09:55:24+03:00 a)<br/> <br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%5CDelta%20l%3D%5Calpha%20l_0%5CDelta%20T" alt="\Delta l=\alpha l_0\Delta T"/><br/> <div><img src="https://math-demo.abitti.fi/math.svg?latex=t_1%3D-12%7B%2C%7D0%C2%B0C" alt="t_1=-12{,}0°C"/></div> <img src="https://math-demo.abitti.fi/math.svg?latex=t_0%3D%2B78%7B%2C%7D0%C2%B0C" alt="t_0=+78{,}0°C"/><br/> <div><img src="https://math-demo.abitti.fi/math.svg?latex=%5Calpha%3D16%7B%2C%7D8%5Ccdot10%5E%7B-6%7D%5Cfrac%7B1%7D%7BK%7D" alt="\alpha=16{,}8\cdot10^{-6}\frac{1}{K}"/></div> <img src="https://math-demo.abitti.fi/math.svg?latex=%5CDelta%20t%3Dt_2-t_1%3D90%C2%B0C" alt="\Delta t=t_2-t_1=90°C"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%5CDelta%20T%3D90K" alt="\Delta T=90K"/><br/> <div><img src="https://math-demo.abitti.fi/math.svg?latex=%5CDelta%20l%3D16.8%5Ccdot10%5E%7B-6%7D%5Cfrac%7B1%7D%7BK%7D%5Ccdot912mm%5Ccdot90K%3D1%7B%2C%7D378944mm" alt="\Delta l=16.8\cdot10^{-6}\frac{1}{K}\cdot912mm\cdot90K=1{,}378944mm"/></div> <img src="https://math-demo.abitti.fi/math.svg?latex=l%3Dl_0%2B%5CDelta%20l%3D912mm%2B1%7B%2C%7D378944mm%3D913%7B%2C%7D378944%5Capprox913mm" alt="l=l_0+\Delta l=912mm+1{,}378944mm=913{,}378944\approx913mm"/><br/> <br/> b)<br/> <br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%5CDelta%20l%3D%5Calpha%20l_0%5CDelta%20T" alt="\Delta l=\alpha l_0\Delta T"/><br/> <div><img src="https://math-demo.abitti.fi/math.svg?latex=t_1%3D%2B18%7B%2C%7D0%C2%B0C" alt="t_1=+18{,}0°C"/></div> <img src="https://math-demo.abitti.fi/math.svg?latex=t_0%3D-25%C2%B0C" alt="t_0=-25°C"/><br/> <div><img src="https://math-demo.abitti.fi/math.svg?latex=%5Calpha%3D11%7B%2C%7D7%5Ccdot10%5E%7B-6%7D%5Cfrac%7B1%7D%7BK%7D" alt="\alpha=11{,}7\cdot10^{-6}\frac{1}{K}"/></div> <img src="https://math-demo.abitti.fi/math.svg?latex=%5CDelta%20t%3Dt_2-t_1%3D-43%C2%B0C" alt="\Delta t=t_2-t_1=-43°C"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%5CDelta%20T%3D-43K" alt="\Delta T=-43K"/><br/> <div><img src="https://math-demo.abitti.fi/math.svg?latex=%5CDelta%20l%3D11%7B%2C%7D7%5Ccdot10%5E%7B-6%7D%5Cfrac%7B1%7D%7BK%7D%5Ccdot20000mm%5Ccdot%5Cleft(-43K%5Cright)%3D-10%7B%2C%7D062mm%3D-1%7B%2C%7D0062cm%5Capprox-1cm" alt="\Delta l=11{,}7\cdot10^{-6}\frac{1}{K}\cdot20000mm\cdot\left(-43K\right)=-10{,}062mm=-1{,}0062cm\approx-1cm"/></div> <span>v: Lyhenee noin 1cm.</span><br/> <div> </div> 2018-03-23T14:16:40+02:00 https://peda.net/id/04b73ca62e9 2018-03-26T09:01:25+03:00 a) K<span>ahdesta eri tavalla </span>laajenevasta<span><span> </span></span>metallista<span><span> </span>tehty liuska. Liuskat on liitetty toisiinsa kiinni niin, että ne pystyvät vapaasti laajenemaan. Tämä saa aikaan sen, että<span> </span></span>lämpötilan<span><span> </span>muutos muuttaa liuskan muotoa. Kaksoismetalli taipuu lämmetessään eri suuntaan kuin jäähtyessään.<br/> b) Ylöspäin</span> 2018-03-23T14:16:30+02:00 https://peda.net/id/fb151c2c2e9 2018-03-26T09:01:35+03:00 c) 2018-03-23T14:16:14+02:00 https://peda.net/id/294bb7b82c1 2018-03-20T12:13:42+02:00 a)<br/> 1<br/> b)<br/> 3<br/> c)<br/> 3<br/> d)<br/> 4<br/> <br/> <br/> <br/> <br/> 2018-03-20T09:56:13+02:00 https://peda.net/id/243113362c1 2018-03-20T12:10:04+02:00 <img src="https://math-demo.abitti.fi/math.svg?latex=Q_1%3DQ_2%2BW" alt="Q_1=Q_2+W"/> 2018-03-20T09:56:05+02:00 https://peda.net/id/1be976f02c1 2018-03-20T09:55:51+02:00 <div>Turven lämpöarvo: </div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=11H%3D11%5C%20%5Cfrac%7BMJ%7D%7Bkg%7D%3D11MJ%5Ccdot35000kg%3D385000MJ%3D385000000000J" alt="11H=11\ \frac{MJ}{kg}=11MJ\cdot35000kg=385000MJ=385000000000J"/></div> <div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=P%3D%5Cfrac%7BW%7D%7Bt%7D%3D%5Cfrac%7B385000000000J%7D%7B%5Cleft(24%5Ccdot60%5Ccdot60%5Cright)s%7D%3D4456018%7B%2C%7D519W" alt="P=\frac{W}{t}=\frac{385000000000J}{\left(24\cdot60\cdot60\right)s}=4456018{,}519W"/></div> <img src="https://math-demo.abitti.fi/math.svg?latex=4456018%7B%2C%7D519W%5Ccdot43%5C%25%3D1916087%7B%2C%7D963W%5Capprox1%7B%2C%7D9MW" alt="4456018{,}519W\cdot43\%=1916087{,}963W\approx1{,}9MW"/></div> 2018-03-20T09:55:51+02:00 https://peda.net/id/ac217b5c2c1 2018-03-20T09:48:00+02:00 <img src="https://math-demo.abitti.fi/math.svg?latex=%5Ceta_%7B%5Cmax%7D%3D%5Cfrac%7BT_1-T_2%7D%7BT_1%7D%3D1-%5Cfrac%7BT_2%7D%7BT_1%7D%3D1-%5Cfrac%7B%5Cleft(25%C2%B0C%2B273%7B%2C%7D15%5Cright)K%7D%7B%5Cleft(540%C2%B0C%2B273%7B%2C%7D15%5Cright)K%7D%3D0%7B%2C%7D633...%5Capprox0%7B%2C%7D63%3D63%5C%25" alt="\eta_{\max}=\frac{T_1-T_2}{T_1}=1-\frac{T_2}{T_1}=1-\frac{\left(25°C+273{,}15\right)K}{\left(540°C+273{,}15\right)K}=0{,}633...\approx0{,}63=63\%"/> 2018-03-20T09:45:34+02:00 https://peda.net/id/a6ac324a269 2018-03-13T12:27:13+02:00 Kyllä<br/> Kuljettaminen: Kuuman kattilan kautta lämpö siirtyy vedelle.<br/> Joutuminen: Kattila lämpenee kuuman lieden vaikutuksesta.<br/> Lämpösäteily: Kattila ja kuuma vesi säteilevät ympäristöään. 2018-03-13T09:53:43+02:00 https://peda.net/id/a2c7318e269 2018-03-13T12:23:26+02:00 a)<br/> Kuuma vesi tulee vesiputken kautta patteriin ja siitä se patteri lämpenee.<br/> b) <br/> Veden kuumentaessa vesimolekyylien liike nopeutuu ja sen sisäenergia kasvaa. Kun se on kiertänyt jonkin aikaa patterissä, sen sisäenergiaa heikenee, ja energia siirtyy lämmön muodossa ympäristöön. 2018-03-13T09:53:36+02:00 https://peda.net/id/97ecb676269 2018-03-13T12:29:41+02:00 a) <br/> Paksu ihonalainen eristävä rasvakerros suojaa kylmältä mervedeltä. Eli se estää lämmön pääsemistä hylkeen kehon ulkopuolelle. <br/> b)<br/> Että siihen väliin pääsee ilma, ja ilma on hyvä lämmön eriste.<br/> c)<br/> Paksu karvapeite eristä lämpöä tehokammin. 2018-03-13T09:53:18+02:00 https://peda.net/id/92d5fbde269 2018-03-13T12:07:42+02:00 a) Joutuminen<br/> b) Lämpösäteily<br/> c) Kuljettuminen 2018-03-13T09:53:10+02:00 https://peda.net/id/db3ef8cc25c 2018-03-12T12:15:16+02:00 a)<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%5Ceta%3D%5Cfrac%7BE_%7Btuotto%7D%7D%7BE_%7Botto%7D%7D%3D%5Cfrac%7B21W%7D%7B54W%7D%3D0%7B%2C%7D3888...%5Capprox0%7B%2C%7D39%3D39%5C%25" alt="\eta=\frac{E_{tuotto}}{E_{otto}}=\frac{21W}{54W}=0{,}3888...\approx0{,}39=39\%"/><br/> b)<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=E_%7Bhukka-%5C%25%7D%3D%5Cfrac%7BE_%7Botto%7D-E_%7Btuotto%7D%7D%7BE_%7Btuotto%7D%7D%3D%5Cfrac%7B54W-21W%7D%7B54W%7D%3D0%7B%2C%7D6111...%5Capprox0%7B%2C%7D61%3D61%5C%25" alt="E_{hukka-\%}=\frac{E_{otto}-E_{tuotto}}{E_{tuotto}}=\frac{54W-21W}{54W}=0{,}6111...\approx0{,}61=61\%"/> 2018-03-12T09:56:22+02:00 https://peda.net/id/d227d1a025c 2018-03-12T12:10:55+02:00 a)<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=W%3DFs%3Dmg%5CDelta%20h%3D5%7B%2C%7D0kg%5Ccdot9%7B%2C%7D81%5Cfrac%7Bm%7D%7Bs%7D%5Ccdot0%7B%2C%7D95m%3D46%7B%2C%7D5975J%5Capprox47J" alt="W=Fs=mg\Delta h=5{,}0kg\cdot9{,}81\frac{m}{s}\cdot0{,}95m=46{,}5975J\approx47J"/><br/> b)<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=W%3DFs%3Dmg%5CDelta%20h%3D5%7B%2C%7D0kg%5Ccdot9%7B%2C%7D81%5Cfrac%7Bm%7D%7Bs%7D%5Ccdot0m%3D0J" alt="W=Fs=mg\Delta h=5{,}0kg\cdot9{,}81\frac{m}{s}\cdot0m=0J"/><br/> c) <br/> <img src="https://math-demo.abitti.fi/math.svg?latex=W%3DFs%3Dmg%5CDelta%20h%3D5%7B%2C%7D0kg%5Ccdot9%7B%2C%7D81%5Cfrac%7Bm%7D%7Bs%7D%5Ccdot5m%3D245%7B%2C%7D25J%5Capprox250J" alt="W=Fs=mg\Delta h=5{,}0kg\cdot9{,}81\frac{m}{s}\cdot5m=245{,}25J\approx250J"/> 2018-03-12T09:56:07+02:00 https://peda.net/id/8b98069c25c 2018-03-12T09:54:16+02:00 a)<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=W%3DFs%3D25N%5Ccdot150m%3D3750J%5Capprox3%7B%2C%7D8kJ" alt="W=Fs=25N\cdot150m=3750J\approx3{,}8kJ"/><br/> b)<br/> Työntävä voima F, kitka ja ilmavastus 2018-03-12T09:54:09+02:00 https://peda.net/id/4368fdb825c 2018-03-12T09:52:07+02:00 a)<br/> Työntävä voima F, kitka ja ilmavastus<br/> Painovoima ja ilmavastus<br/> b)<br/> Kitka, ilmavastus<br/> <br/> 2018-03-12T09:52:07+02:00 https://peda.net/id/c9cdf50825c 2018-03-12T09:48:43+02:00 a)<br/> <div>Kitka<br/> b) <br/> Jarruttaessa auton mekaaninen energia heikenee kitkan takia, ja heikentyneen energia vapautuu lämpönä.</div> 2018-03-12T09:48:43+02:00 https://peda.net/id/28e145b8239 2018-03-09T15:38:32+02:00 a)<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=120%5Cfrac%7Bkm%7D%7Bh%7D%3A3%7B%2C%7D6%3D33%7B%2C%7D3333....%5Capprox33%7B%2C%7D333%5Cfrac%7Bm%7D%7Bs%7D" alt="120\frac{km}{h}:3{,}6=33{,}3333....\approx33{,}333\frac{m}{s}"/><br/> <div><img src="https://math-demo.abitti.fi/math.svg?latex=E_k%3D%5Cfrac%7B1%7D%7B2%7Dmv%5E2%3D%5Cfrac%7B1%7D%7B2%7D%5Ccdot1300kg%5Ccdot%5Cleft(33%7B%2C%7D333%5Cfrac%7Bm%7D%7Bs%7D%5Cright)%5E2%3D722207%7B%2C%7D7779%5Capprox720000J%3D720kJ" alt="E_k=\frac{1}{2}mv^2=\frac{1}{2}\cdot1300kg\cdot\left(33{,}333\frac{m}{s}\right)^2=722207{,}7779\approx720000J=720kJ"/><br/> b)<br/> <div><img src="https://math-demo.abitti.fi/math.svg?latex=50%5Cfrac%7Bkm%7D%7Bh%7D%3A3%7B%2C%7D6%3D13%7B%2C%7D8888%5Capprox13%7B%2C%7D889%5Cfrac%7Bm%7D%7Bs%7D" alt="50\frac{km}{h}:3{,}6=13{,}8888\approx13{,}889\frac{m}{s}"/></div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=40%5Cfrac%7Bkm%7D%7Bh%7D%3A3%7B%2C%7D6%3D11%7B%2C%7D1111%5Capprox11%7B%2C%7D111%5Cfrac%7Bm%7D%7Bs%7D" alt="40\frac{km}{h}:3{,}6=11{,}1111\approx11{,}111\frac{m}{s}"/><br/> <div><img src="https://math-demo.abitti.fi/math.svg?latex=E_k%3D%5Cfrac%7B1%7D%7B2%7Dmv%5E2%3D%5Cfrac%7B1%7D%7B2%7D%5Ccdot1300kg%5Ccdot%5Cleft(13%7B%2C%7D889%5Cfrac%7Bm%7D%7Bs%7D%5Cright)%5E2%3D125387%7B%2C%7D8087J" alt="E_k=\frac{1}{2}mv^2=\frac{1}{2}\cdot1300kg\cdot\left(13{,}889\frac{m}{s}\right)^2=125387{,}8087J"/></div> <br/> <img src="https://math-demo.abitti.fi/math.svg?latex=E_k%3D%5Cfrac%7B1%7D%7B2%7Dmv%5E2%3D%5Cfrac%7B1%7D%7B2%7D%5Ccdot1300kg%5Ccdot%5Cleft(11%7B%2C%7D111%5Cfrac%7Bm%7D%7Bs%7D%5Cright)%5E2%3D80245%7B%2C%7D30865J" alt="E_k=\frac{1}{2}mv^2=\frac{1}{2}\cdot1300kg\cdot\left(11{,}111\frac{m}{s}\right)^2=80245{,}30865J"/></div> <br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%5Cfrac%7B125387%7B%2C%7D8087J-80245%7B%2C%7D30865J%7D%7B125387%7B%2C%7D8087J%7D%3D0%7B%2C%7D36002...%5Capprox0%7B%2C%7D36%3D36%5C%25" alt="\frac{125387{,}8087J-80245{,}30865J}{125387{,}8087J}=0{,}36002...\approx0{,}36=36\%"/><br/> Auto hidastuu</div> 2018-03-09T15:38:32+02:00 https://peda.net/id/fd96dbda239 2018-03-09T15:30:10+02:00 a)<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=E_p%3Dmgh" alt="E_p=mgh"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=E_p%3D77kg%5Ccdot9%7B%2C%7D81%5Cfrac%7Bm%7D%7Bs%5E2%7D%5Ccdot10%7B%2C%7D9m%3D8233%7B%2C%7D533J%5Capprox8200J%3D8%7B%2C%7D2kJ" alt="E_p=77kg\cdot9{,}81\frac{m}{s^2}\cdot10{,}9m=8233{,}533J\approx8200J=8{,}2kJ"/><br/> b)<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=E_p%3Dmgh" alt="E_p=mgh"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=E_p%3D77kg%5Ccdot9%7B%2C%7D81%5Cfrac%7Bm%7D%7Bs%5E2%7D%5Ccdot0m%3D0J" alt="E_p=77kg\cdot9{,}81\frac{m}{s^2}\cdot0m=0J"/><br/> c)<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=0J-8%7B%2C%7D2kJ%3D-8%7B%2C%7D2kJ" alt="0J-8{,}2kJ=-8{,}2kJ"/><br/> d)<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=E_k%3D%5Cfrac%7B1%7D%7B2%7Dmv%5E2%3D%5Cfrac%7B1%7D%7B2%7D%5Ccdot77kg%5Ccdot%5Cleft(14%5Cfrac%7Bm%7D%7Bs%7D%5Cright)%5E2%3D7546J%5Capprox7500J%3D7%7B%2C%7D5kJ" alt="E_k=\frac{1}{2}mv^2=\frac{1}{2}\cdot77kg\cdot\left(14\frac{m}{s}\right)^2=7546J\approx7500J=7{,}5kJ"/> 2018-03-09T15:30:10+02:00 https://peda.net/id/f2132774239 2018-03-09T15:22:41+02:00 a) Ei voi, koska mikä niistä kertoimesta ei voi olla negatiivinen. (massa, putoamiskiihtyvyys, etäisyys)<br/> b) Ei voi, koska liikessa vapauttaa energiaa riippumatta sen nopeudesta (hidastuva liike, kiihtyvä liike) 2018-03-09T15:22:41+02:00 https://peda.net/id/e9c4d976212 2018-03-09T13:44:16+02:00 a)<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=A%3D18%7B%2C%7D4cm%5Ccdot23%7B%2C%7D9cm%3D439%7B%2C%7D76cm%5E2%3D0%7B%2C%7D043976m%5E2" alt="A=18{,}4cm\cdot23{,}9cm=439{,}76cm^2=0{,}043976m^2"/><br/> <div><img src="https://math-demo.abitti.fi/math.svg?latex=m%3D330g%3D0%7B%2C%7D33kg" alt="m=330g=0{,}33kg"/></div> <img src="https://math-demo.abitti.fi/math.svg?latex=g%3D9%7B%2C%7D81%5Cfrac%7Bm%7D%7Bs%5E2%7D" alt="g=9{,}81\frac{m}{s^2}"/><br/> <div><img src="https://math-demo.abitti.fi/math.svg?latex=p%3D%5Cfrac%7BF%7D%7BA%7D%3D%5Cfrac%7BG%7D%7BA%7D%3D%5Cfrac%7Bmg%7D%7BA%7D%3D%5Cfrac%7B0%7B%2C%7D33kg%5Ccdot9%7B%2C%7D81%5Cfrac%7Bm%7D%7Bs%5E2%7D%7D%7B0%7B%2C%7D043976m%5E2%7D%3D73%7B%2C%7D615...%5Capprox74Pa" alt="p=\frac{F}{A}=\frac{G}{A}=\frac{mg}{A}=\frac{0{,}33kg\cdot9{,}81\frac{m}{s^2}}{0{,}043976m^2}=73{,}615...\approx74Pa"/><br/> V: N. 74Pa.<br/> b)<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=p%3D%5Cfrac%7BF%7D%7BA%7D%3D101325Pa%3D%5Cfrac%7BF%7D%7B0%7B%2C%7D043976m%5E2%7D%3D101325Pa%5Ccdot0%7B%2C%7D043976m%5E2%3D4455%7B%2C%7D8682N%5Capprox4500N%3D4%7B%2C%7D5kN" alt="p=\frac{F}{A}=101325Pa=\frac{F}{0{,}043976m^2}=101325Pa\cdot0{,}043976m^2=4455{,}8682N\approx4500N=4{,}5kN"/><br/> V: N.4,5kN.<br/> c) <br/> Kirjan alhalta tuleva ilmapaine kumoa ylähltä tuleva ilmapainetta</div> 2018-03-06T12:27:03+02:00 https://peda.net/id/7551206e212 2018-03-06T12:16:39+02:00 a)<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=A%3D180mm%5Ccdot530mm%3D95400mm%5E2%3D0%7B%2C%7D0954m%5E2" alt="A=180mm\cdot530mm=95400mm^2=0{,}0954m^2"/><br/> <div><img src="https://math-demo.abitti.fi/math.svg?latex=m%3D68kg" alt="m=68kg"/></div> <img src="https://math-demo.abitti.fi/math.svg?latex=g%3D9%7B%2C%7D81%5Cfrac%7Bm%7D%7Bs%5E2%7D" alt="g=9{,}81\frac{m}{s^2}"/><br/> <div><img src="https://math-demo.abitti.fi/math.svg?latex=p%3D%5Cfrac%7BF%7D%7BA%7D%3D%5Cfrac%7BG%7D%7BA%7D%3D%5Cfrac%7Bmg%7D%7BA%7D%3D%5Cfrac%7B68kg%5Ccdot9%7B%2C%7D81%5Cfrac%7Bm%7D%7Bs%5E2%7D%7D%7B0%7B%2C%7D0954m%5E2%7D%3D6992%7B%2C%7D45283Pa%5Capprox7000Pa%3D7%7B%2C%7D0kPa" alt="p=\frac{F}{A}=\frac{G}{A}=\frac{mg}{A}=\frac{68kg\cdot9{,}81\frac{m}{s^2}}{0{,}0954m^2}=6992{,}45283Pa\approx7000Pa=7{,}0kPa"/><br/> V: 7,0kPa.<br/> b)<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=A%3D210cm%5E2%3D0%7B%2C%7D021m%5E2" alt="A=210cm^2=0{,}021m^2"/><br/> <div><img src="https://math-demo.abitti.fi/math.svg?latex=m%3D68kg" alt="m=68kg"/></div> <img src="https://math-demo.abitti.fi/math.svg?latex=g%3D9%7B%2C%7D81%5Cfrac%7Bm%7D%7Bs%5E2%7D" alt="g=9{,}81\frac{m}{s^2}"/><br/> <div><img src="https://math-demo.abitti.fi/math.svg?latex=p%3D%5Cfrac%7BF%7D%7BA%7D%3D%5Cfrac%7BG%7D%7BA%7D%3D%5Cfrac%7Bmg%7D%7BA%7D%3D%5Cfrac%7B68kg%5Ccdot9%7B%2C%7D81%5Cfrac%7Bm%7D%7Bs%5E2%7D%7D%7B0%7B%2C%7D021m%5E2%7D%3D31765%7B%2C%7D71429%5Capprox32000Pa%3D32kPa" alt="p=\frac{F}{A}=\frac{G}{A}=\frac{mg}{A}=\frac{68kg\cdot9{,}81\frac{m}{s^2}}{0{,}021m^2}=31765{,}71429\approx32000Pa=32kPa"/><br/> V: 32kPa.</div> </div> 2018-03-06T12:16:39+02:00 https://peda.net/id/2e196a90212 2018-03-06T12:07:30+02:00 a) <br/> <img src="https://math-demo.abitti.fi/math.svg?latex=T%3D%5Cleft(t%2B273%7B%2C%7D15%5Cright)K%3D36%7B%2C%7D5%C2%B0C%2B273%7B%2C%7D15%3D309%7B%2C%7D65K" alt="T=\left(t+273{,}15\right)K=36{,}5°C+273{,}15=309{,}65K"/><br/> b)<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=T%3D%5Cleft(t%2B273%7B%2C%7D15%5Cright)K%3D-18%C2%B0C%2B273%7B%2C%7D15%3D255%7B%2C%7D15K" alt="T=\left(t+273{,}15\right)K=-18°C+273{,}15=255{,}15K"/><br/> c)<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=t%3D%5Cleft(T-273%7B%2C%7D15%5Cright)%C2%B0C%3D90K-273%7B%2C%7D15%3D-183.15%C2%B0C" alt="t=\left(T-273{,}15\right)°C=90K-273{,}15=-183.15°C"/> 2018-03-06T12:07:30+02:00 https://peda.net/id/2b79e860205 2018-03-06T08:29:53+02:00 a) Paine p, tilavuus V ja lämpötila T<br/> b) Ravistelussa samppanjapullon paine ja lämpötila kasvavat. 2018-03-05T12:08:36+02:00 https://peda.net/id/e2fb6f6e205 2018-03-06T08:26:03+02:00 a) Eristetty (Lähes)<br/> b) Suljettu<br/> c) Avoin 2018-03-05T12:06:35+02:00