A) \[\frac{R}{(\gamma -1)}\]
B) \[\frac{R}{\gamma +1}\]
C) \[\frac{R}{\gamma }\]
D) \[R(\gamma -1)\]
Correct Answer: A
Solution :
From Mayor's formula \[{{C}_{p}}-{{C}_{V}}=R\] ...(i) and \[\frac{{{C}_{p}}}{{{C}_{V}}}=\gamma \] ...(ii) From Eqs. (i) and (ii) \[{{C}_{V}}(\gamma -1)=R\] \[{{C}_{V}}=\frac{R}{\gamma -1}\]
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