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
– 5 J
b
– 10 J
c
– 15 J
d
– 20 J
answer is A.
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Detailed Solution
For cyclic process. Total work done =WAB+WBC+WCAWAB=P∆V = 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 + WCAWCA = – 5 J