A) \[\frac{2}{3}Q\]
B) \[\frac{3}{5}Q\]
C) \[\frac{2}{5}Q\]
D) \[\frac{1}{5}Q\]
Correct Answer: C
Solution :
\[Q=n{{C}_{p}}\Delta T\] \[\frac{Q}{dU}=\frac{n{{C}_{P}}\Delta T}{n{{C}_{V}}\Delta T}=\frac{{{C}_{P}}}{{{C}_{V}}}=\gamma \] \[\gamma =\frac{5}{3}\] \[\frac{Q}{dU}=\frac{5}{3}\] \[dU=\frac{3}{5}Q\] \[Q=dU+W\] \[W=Q-dU\] \[=Q-\frac{3}{5}QW=\frac{2}{5}Q\]
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