Question

A gas expands adiabatically at constant pressure such that $T$ $\propto V^{-1/2}$. The value of $\gamma \left(C_{p,m}/C_{v,m}\right)$ of the gas will be :

• A. $1.30$
• B. $1.50$
• C. $1.70$
• D. $2$

Answer 1

The correct option is B $1.50$

For adiabatic process,

$T{V}^{\gamma -1}=$ constant

Given that,

$T\propto V^{-1/2}$

$\Rightarrow T{V}^{1/2}=$ constant

$\Rightarrow \gamma -1=1/2$

$\Rightarrow \gamma =3/2=1.50$