Consider an ideal gas confined in an isolated closed chamber. As the gas undergoes an adiabatic expansion, the average time of collision between molecules increases as $V^q$ , where V is the volume of the gas. The values of q is : $\bigg(\gamma= \large\frac{C_P}{C_V} \bigg)$

Question

$\begin{array}{1 1} \frac{3 \gamma - 5}{6} \\ \frac{\gamma +1}{2} \\ \frac{\gamma-1}{2} \\ \frac{3 \gamma +5}{6} \end{array} $