Thermodynamics Question 145

Question: A Carnot engine working between $ 300K $ and 600K has work output of 800 J per cycle. What is amount of heat energy supplied to the engine from source per cycle

[DPMT 1999; Pb. PMT 2002, 05; Kerala PMT 2004]

Options:

A) 1800 J/cycle

B) 1000 J/cycle

C) 2000 J/cycle

D) 1600 J/cycle

Show Answer

Answer:

Correct Answer: D

Solution:

$ \eta =\frac{T _{1}-T _{2}}{T _{1}}-\frac{W}{Q} $

Therefore $ Q=( \frac{T _{1}}{T _{1}-T _{2}} )W $

$ =\frac{600}{(600-300)}\times 800 $ =1600 J



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