Physics · 2020
JEE Main · 7 January 2020, Shift 2 · Q8
Under an adiabatic process, the volume of an ideal gas gets doubled. Consequently the mean collision time between the gas molecule changes from τ_1…
Under an adiabatic process, the volume of an ideal gas gets doubled. Consequently the mean collision time between the gas molecule changes from $\displaystyle \tau_1$ to $\displaystyle \tau_2$. If $\displaystyle \frac{\mathrm{C}_{\mathrm{p}}}{\mathrm{C}_{\mathrm{v}}}=\gamma$ for this gas then a good estimate for $\displaystyle \frac{\tau_2}{\tau_1}$ is given by :
Official answer
(4)
$\displaystyle \left(\frac{1}{2}\right)^{\frac{\gamma+1}{2}}$
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