Two moles of helium gas undergo a reversible cyclic process as shown in figure. Assuming gas to be ideal, what is the net work involved in the cyclic process?
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a
-100 R ln4
b
+100 R In 4
c
+200R ln4
d
-200 Rln4
answer is A.
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Detailed Solution
Wnet = area enclosed V=nRTPVA=2R×3001=600R1VB=2R×3002=300R1; Vc=2R×4002=400R1 VD=800R1WAB=−nRTTAlnVBVA=−2R(300)ln12=600Rln2WBC=−2(400−300)R=−200RWCD=−2R(400)lnVDVC=−800Rln2WAD=−1(600R−800R)=200RWTotal =WAB+WBC+WCD+WAD=200Rln2=−100RIn4