Question 140 of 190

Under an adiabatic process, the volume of an ideal gas gets doubled. Consequently, the mean collision time between the gas molecule changes from ${\tau }_{1}$ to ${\tau }_{2}$ . If $\dfrac{{C}_{P}}{{C}_{v}}=\gamma$ for this gas then a good estimate for $\dfrac{{\tau }_{2}}{{\tau }_{1}}$ is given by