A) \[\frac{2}{7}\]
B) \[\frac{2}{5}\]
C) \[\frac{3}{7}\]
D) \[\frac{3}{5}\]
Correct Answer: A
Solution :
Let \[\Delta W\]is the energy used for expansion = pdV=RdT \[\Delta Q=\]heat supplied to diatomic gas at constant pressure \[={{C}_{p}}dT\] \[=\frac{7}{2}RdT\] \[\left( \because \,{{C}_{p}}=\frac{7}{2}R \right)\] \[\therefore \] \[\frac{\Delta W}{\Delta Q}=\frac{RdT}{\frac{7}{2}RdT}=\frac{2}{7}\]
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