Heat and Thermodynamics 5 Question 21

22. An ideal gas is taken through the cycle ABCA, as shown in the figure. If the net heat supplied to the gas in the cycle is 5J, the work done by the gas in the process CA is

(2002, 2M)

(a) 5J

(b) 10J

(c) 15J

(d) 20J

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Answer:

Correct Answer: 22. (a)

Solution:

  1. ΔWAB=pΔV=(10)(21)=10J

ΔWBC=0

( as V= constant )

From first law of thermodynamics

ΔQ=ΔW+ΔUΔU=0 (process ABCA is cyclic) ΔQ=ΔWAB+ΔWBC+ΔWCAΔWCA=ΔQΔWABΔWBC=5100=5J



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