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Q.

An ideal gas is taken through the cycle A → B → C → A, as shown in the figure. If the net heat supplied to the gas in the cycle is 5 J, the work done by the gas in the process C → A is         
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a

– 15 J

b

– 10 J

c

– 5 J

d

– 20 J

answer is A.

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Detailed Solution

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For cyclic process. Total work done =WAB+WBC+WCA

WAB=PV

 = 10(2 – 1) = 10J  and 

WBC =0
(as V = constant)
From FLOT, 

Q = U+W=U + W

U = 0 (Process ABCA is cyclic)
Q =WAB+WBC+WCA
 5 = 10 + 0 + WCA

WCA = – 5 J

 

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