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A carnot engine operates between the temperatures 850K and 300K.the engine performs 1200J of work in each cycle, which takes 0.25 sec
(a) What is the efficiency of this engine ?
(b) What is the average power of this engine ?
(c) How much energy is extracted as heat from the high temperature reservoir ?
(d) How much energy is delivered as heat to the low temperature reservoir ?

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Transcript
00:00Numerical number 7 of unit 17 second law of thermodynamics is a Carnot engine operates
00:14between the temperatures 850 Kelvin and 300 Kelvin.
00:21The engine performs 1200 joules of work in each cycle which takes 0.25 seconds a what
00:33is the efficiency of this engine b what is the average power of this engine c how much
00:42energy is extracted as heat from the high temperature reservoir d how much energy is delivered
00:51as heat to the low temperature reservoir is numerical
00:57เคฎเฅ‡เค‚ เค•เคน เคฐเคนเคพ เคนเฅˆ เค•เฅ‡ Carnot engine เคœเฅ‹ เคนเฅˆ เคตเฅ‹ เค†เคชเคฐเฅ‡เคŸ เคนเฅ‹ เคฐเคนเฅ€ เคนเฅˆ
01:00between two temperatures เค”เคฐ เคตเฅ‹ engine เค•เคฟเคคเคจเคพ เค•เคพเคฎ เค•เคฐ เคฐเคนเฅ€ เคนเฅˆ 1200
01:05joules เค•เคพเคฎ เค•เคฐ เคฐเคนเฅ€ เคนเฅˆ each cycle เคฎเฅ‡เค‚ เค”เคฐ เค•เคฟเคคเคจเคพ time เคฒเฅ‡ เคฐเคนเฅ€ เคนเฅˆ
01:100.25 seconds เคคเฅ‹ เคนเคฎเฅ‡เค‚ เค•เฅเคฏเคพ find เค•เคฐเคจเคพ เคนเฅˆ A เคฎเฅ‡เค‚ efficiency find เค•เคฐเคจเฅ€ เคนเฅˆ
01:17เค”เคฐ B เคฎเฅ‡เค‚ เค‰เคธเค•เคพ power find เค•เคฐเคจเคพ เคนเฅˆ C เคฎเฅ‡เค‚ เคœเฅ‹ heat เคนเคฎ เค‰เคธเค•เฅ‹ เคฆเฅ‡ เคฐเคนเฅ‡ เคนเฅˆ
01:25from high temperature reservoir means Q1 เคตเฅ‹ find เค•เคฐเคจเฅ€ เคนเฅˆ เค”เคฐ D เคฎเฅ‡เค‚ เคœเฅ‹ energy เค‰เคธเคฎเฅ‡เค‚
01:35เคธเฅ‡ release เคนเฅ‹ เคฐเคนเฅ€ เคนเฅˆ at low temperature reservoir means Q2 เคตเฅ‹ เคนเคฎ find เค•เคฐเฅ‡เค‚เค—เฅ‡
01:41so เคธเคฌเคธเฅ‡ เคชเฅ‡ เคฒเคฟเค เคนเคฎ data เคฌเคจเคพเคเค‚เค—เฅ‡
01:48is
01:52T1 is given which is 850 Kelvin
02:02T2 is also given which is 300 Kelvin and work is also given which is 1200 Joules
02:16and time is given is 0.25 seconds
02:26A เคฎเฅ‡เค‚ เคนเคฎเฅ‡เค‚ efficiency means eta find เค•เคฐเคจเฅ€ เคนเฅˆ เค”เคฐ B เคฎเฅ‡เค‚ power find เค•เคฐเคจเคพ เคนเฅˆ
02:39เค”เคฐ C เคฎเฅ‡เค‚ heat supplied means Q1 find เค•เคฐเคจเฅ€ เคนเฅˆ
02:48เค”เคฐ D เคฎเฅ‡เค‚ เคนเคฎเฅ‡เค‚ heat released means Q2 find เค•เคฐเคจเฅ€ เคนเฅˆ
02:56so for solution
02:58or calculation
03:04เคธเคฌเคธเฅ‡ เคชเฅ‡เคฒเฅ‡ เคนเคฎ efficiency find เค•เคฐเฅ‡เค‚เค—เฅ‡
03:08solution for A means eta is equal to what
03:14is efficiency is equal to 1 minus T2 upon T1 multiplied with 100 percent
03:25เค•เฅเคฏเฅ‹เค‚เค•เคฟ เคฏเคนเคพเค‚ เคชเคฐ temperatures เค•เคพ value obtained เคนเฅˆ
03:31เคคเฅ‹ เค‡เคธ conditions เคฎเฅ‡เค‚ เคนเคฎ efficiency เค•เคพ value calculate เค•เคฐเฅ‡เค‚เค—เฅ‡
03:35so eta will be equal to 1 minus T2 as T2 is given as 300 Kelvin divided by T1 which is
03:49850 Kelvin multiplied with 100 percent so efficiency will be obtained as 1 minus
04:00when we will subtract 0.3529 from 1 then we will subtract 0.3529 from 1 then we will
04:30get 0.6408 and 100 percent will remain same so efficiency will be obtained as when we
04:43will multiply 100 with this value then we will get final answer is 64.08 percent so efficiency
04:56is obtained is 64.08 percent so this is our first answer
05:06now solution for B
05:10B เคฎเฅ‡เค‚ เคนเคฎเฅ‡เค‚ power calculate เค•เคฐเคจเคพ เคนเฅˆ is power is equal to work upon time means work done
05:22per unit time is known as power so power will be equal to work done is obtained as 1200 Joules divided
05:36by time which is also given 0.25 seconds when we will simplify these values then we will get 4800 Watt
05:47so we can also write 4800 Watt is power will be equal to 4.8 kW so this is our second answer now solution for C means Q1 is equal to Watt as we know that
06:16that efficiency is also equal to work done upon heat supplied multiplied with 100% this equation will be Q1 is equal to work done upon efficiency into 100%
06:23so Q1 is equal to work done upon efficiency into 100%
06:30so Q1 is equal to work done upon efficiency into 100%
06:38is equal to work done upon efficiency and Q2 is equal to V so Q1 will be equal to Q1
06:46so Q1 will be equal to Q1 is equal to Q1 will equal to Q1 is equal to Q1 is the value of
06:47work done done on working done is obtained as 1200 Joules divided by efficiency which are 64.08%
07:03percent into hundred percent will remain same is percentage will be get
07:12cancelled with percentage Q1 will be obtained as 1200 into 100 it will be
07:23divided by 64.08 so after simplification we will get the value of Q1 is 1872.6 J so
07:43this is the answer for Q1 now finally solution for D means Q2 as we know that
08:01work done is equal to Q1 minus Q2 so after rearranging we will get this
08:09equation is Q2 is equal to Q1 minus work done the value of Q2 will be obtained as
08:22is the value of Q1 is obtained which is 1872.6 minus work done the value of work
08:33done is given which is 1200 joules so Q2 will be obtained as after simplifying this
08:44means by subtracting 1200 from 1872.6 we will get 672.6 joules
09:00so this is our final answer for Q2 means this is our answer number 4
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