A) \[{{P}_{0}}{{V}_{0}}\]
B) \[2{{P}_{0}}{{V}_{0}}\]
C) \[\frac{{{P}_{0}}{{V}_{0}}}{2}\]
D) Zero
Correct Answer: D
Solution :
[d] Work done by the system in the cycle =Area under P-V curve and V-axis \[=\frac{1}{2}\left( 2{{P}_{0}}-{{P}_{0}} \right)\left( 2{{V}_{0}}-{{V}_{0}} \right)+\] \[\left[ -\left( \frac{1}{2} \right)\left( 3{{p}_{0}}-2{{p}_{0}} \right)\left( 2{{V}_{0}}-{{V}_{0}} \right) \right]\] \[=\frac{{{P}_{0}}{{V}_{0}}}{2}-\frac{{{P}_{0}}{{V}_{0}}}{2}=0\]
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