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A carnot engine takes 2000J of heat from a reservoir at 500K does some work and discards some heat to a reservoir at 350K.How much heat is discarded,how much work does the engine do and what is the efficiency ?
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Transcript
00:00Numerical number 1 of unit 17 second law of thermodynamics is a Carnot engine takes 2000
00:16joules of heat from a reservoir 8500 Kelvin does some work and discords some heat to a
00:26reservoir 8 350 Kelvin how much heat is discarded how much work does the engine do and what is the efficiency
00:41so this problem may have a car a heat engine a Joe 2000 joules heat
00:48there a year from a reservoir or get a temperature pay 500 Kelvin pay so who conquer a force or heat
00:59co release career to a low reservoir at which temperature 350 Kelvin so we have to find q2
01:09means heat released or discarded and also work done and also efficiency so sab se peli hum data banayenge
01:27we have obtained q1
01:29which is 2000 joules and also we have obtained t1 means temperature of hot reservoir which is 500 Kelvin
01:50and we have to find heat lost or discarded means q2
01:54and also we have to calculate efficiency
02:04and we have obtained t2 means temperature of low reservoir 350 Kelvin and also we have to calculate
02:17work done so for solution or calculation
02:24first of all we will find efficiency as efficiency is calculated by using formula eta is equal to
02:361 minus t2 upon t1 into 100 percent
02:47so now by putting the values
02:49the values efficiency will be equal to 1 minus t2 is obtained as 350 Kelvin divided by
03:03t1 which is 500 Kelvin into 100 percent
03:09so eta will be equal to 0.7 into 100 percent so eta will be equal to 1 minus 350 divided by 500 it will be 0.7 into 100 percent
03:26so efficiency will be obtained as jab 1 mein se 0.7 subtract karvayenge so we will get
03:350.3 into 100 percent so efficiency will be obtained as 0.3 into 100 it will be 30 percent
03:52so this is our first answer
03:59now we will calculate q2
04:02as we know that q2 upon q1 is equal to t2 upon t1
04:19&
04:36normal
04:37so here we have to come to
04:39q1 divide
04:41side multiply so q2 will be equal to t2 upon t1 enter q1 so q2 will be equal to as t2 is obtained
05:00as 350 kelvin divided by t1 which is 500 kelvin into q1 q1 is also obtained which is 2000 joules
05:16so q2 will be equal to 350 divided by 500 it will be 0.7 into 2000 so q2 will be obtained as 0.7 into
05:382000 it will be 1400 joules so this is our second answer now finally we will calculate work done
05:56as work done is calculated by using formula w is equal to q1 minus q2 in terms of heat engine or
06:07carno engine so work done will be equal to as q1 is given which is 2000 joules minus q2 is also obtained
06:22which is 1400 joules so we will work done obtained hooga jab 2000 mein se 1400 subtract karvayenge
06:34so we will get 600 joules so this is our third answer
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