A) \[\gamma R\]
B) \[\frac{\left( \gamma -1 \right)R}{\gamma }\]
C) \[\frac{R}{\gamma -1}\]
D) \[\frac{\gamma R}{\gamma -1}\]
Correct Answer: C
Solution :
From the Mayers formula \[{{C}_{p}}-{{C}_{v}}=R\] ...(i) and \[\gamma =\frac{{{C}_{p}}}{{{C}_{v}}}\] \[\Rightarrow \] \[\gamma Cv=Cp\] ...(ii) Substituting Eq. (ii) in Eq. (i), we get \[\gamma Cv-Cv=R\] \[Cv=\frac{R}{\gamma -1}\]
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