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A carnot engine absorbs 400 J of heat from a reservoir at the temperature of water and rejects heat to a reservoir at triple point of water. the efficiency of the engine

A carnot engine absorbs 400 J of heat from a reservoir at the temperature of water and rejects heat to a reservoir at triple point of water. the efficiency of the engine
 

Grade:12th pass

1 Answers

sabu ram
27 Points
28 days ago

 

Heat absorbed, Q1=1000J
Heat rejected, Q2=600J
Temperature of reservoir, T1=127°C=127+273=400K
To find:
Efficiency of the engine, η=?
Temperature of sink, T2=?
Amount of useful work done per cycle, W=?
We know, 
Efficiency of Carnot engine can be found be using the following formula,
η=Q1Q1Q2=10001000600=0.4 or 40%
Hence, the efficiency of the engine is 40%
We know, Efficinecy of carnot engine is also equal to 
η=T1T1T20.4=400400T2400T2=160T2=400160=240K or 240273=33°C
Hence, the temperature of the sink is -33°C.
 
We know, 
W=Q1Q2=1000600=400J
Hence the amount of useful work done during each cycle is 400J.

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