Question

A gas expands adiabatically at constant pressure such that $T\propto V^{\frac{-1}{2}}$
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 $1.50$

$T\propto \frac{1}{\sqrt{V}};T{V}^{\frac{1}{2}}=constant$
For adiabatic process,
$T{V}^{\gamma -1}=constant$
$\therefore \gamma -1=\frac{1}{2},\gamma =\frac{3}{2}$