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A heat engine works at the rate of 500kW.The efficiency of the engine is 30%.Calculate the loss of heat per hour.
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00:00numerical number 5 of unit 17 second law of thermodynamics is a heat engine works at the
00:12rate of 500 kilowatt the efficiency of the engine is 30% calculate the loss of heat per hour
00:24เคฏเคนเคพเค‚ เคชเคฐ เคนเคฎเฅ‡เค‚ Q2 means heat loss calculate เค•เคฐเคจเฅ€ เคนเฅˆ เคคเฅ‹ เคธเคฌเคธเฅ‡ เคชเคนเคฒเฅ‡ เคนเคฎ data เคฌเคจเคพเคเค‚เค—เฅ‡
00:35is power is given which is 500 kilowatt
00:50as we know that 1 kilowatt is equal to 1000 watt so เค‡เคธเค•เฅ‹ เคนเคฎ watt เคฎเฅ‡เค‚ convert เค•เคฐเฅ‡เค‚เค—เฅ‡
00:59so 500 into 1000 watt so power will be equal to 5 lake watt or we can also write this is 5 into 10
01:24raised power 5 watt or efficiency เคญเฅ€ เคนเคฎเฅ‡เค‚ obtained เคนเฅˆ means eta is also given which is
01:3230% and we have to find loss of heat means Q2
01:44or time is also given time เคญเฅ€ เคนเคฎเฅ‡เค‚ obtained เคนเฅˆ that is 1 hour
01:55is 1 hour is equal to 3600 seconds for solution
02:09our calculation we will use formula to calculate Q2 is work is equal to Q1 minus Q2
02:26so Q2 will be equal to Q1 minus work done
02:36เคฏเคนเคพเค‚ เคชเคฐ Q1 เคญเฅ€ เคนเคฎเฅ‡เค‚ obtained เคจเคนเฅ€เค‚ เคนเฅˆ เค”เคฐ work เคญเฅ€ obtained เคจเคนเฅ€เค‚ เคนเฅˆ เคคเฅ‹ เคธเคฌเคธเฅ‡ เคชเคนเคฒเฅ‡ เคนเคฎ
02:46เคฏเคน find เค•เคฐเฅ‡เค‚เค—เฅ‡ so first we will find work done เคฏเคนเคพเค‚ เคชเคฐ power or time given เคนเฅˆ so in terms of power เคนเคฎ work เค•เฅ‹ find เค•เคฐเฅ‡เค‚เค—เฅ‡
03:02is power is equal to work done per unit time so work done will be equal to power into time
03:14so work done will be equal to is power is given which is 5 into 10 raised power 5 watt into time time is also given which is 30
03:32600 seconds so jaybham in ko simplify เค•เคฐเฅ‡เค‚เค—เฅ‡ then we will get the value of work done is
03:401.8 into 10 raised power 9 joules so we have get the value of work done
03:53now we will find Q1 is
04:02efficiency is also calculated by using formula work done upon heat supplied into 100%
04:14so we have to find Q1
04:16เคœเคฌ เคนเคฎ Q1 เค•เฅ‹ เคฏเคนเคพเค‚ เคฒเฅ‡เค•เฅ‡ เคœเคพเคเค‚เค—เฅ‡ เคคเฅ‹ multiply เค•เคฐเฅ‡เค—เคพ เค”เคฐ eta means efficiency เคฏเคนเคพเค‚ multiply เค•เคฐ เคฐเคนเฅ€ เคนเฅˆ เคคเฅ‹ เคฏเคนเคพเค‚ เคชเคฐ เค†เค•เคฐ divide เค•เคฐเฅ‡เค—เฅ€
04:28so this equation will become is Q1 will be equal to work done upon efficiency into
04:35hundred percent
04:38so Q1 will be equal to is work done is obtained which is
04:471.8 into 10 is power 9 joules divided by efficiency which is also given
04:5530 percent multiplied with 100 percent
05:05percentage will be get cancelled with each other
05:09jab ham in values ko simplify เค•เคฐเฅ‡เค‚เค—เฅ‡
05:12then we will get the final value of Q1 is
05:186 into 10 raised power 9 joules
05:256 into 10
05:32now finally we will find
05:37Q2
05:44is Q2 is equal to Q1 minus work done
05:51so Q2 will be equal to Q1 is 6 into 10 raised power 9 joules minus work done is given which is
06:041.8 into 10 raised power 9 joules
06:07so Q2 will be obtained as when we will subtract 1.8 from 6 then we will get 4.2 and 10 raised power 9 will remain same joules
06:26so the value of Q2 is obtained as 4.2 into 10 raised power 9 joules so this is our final answer
06:41so
06:43so
06:47you
06:49you
06:49you
06:50you
06:50you
06:52you
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