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Two closed containers of equal volume filled with air at pressure $P_0$ and temperature $T_0$. Both are connected by a narrow tube. If one of the container is maintained at temperature $T_0$ and other at temperature $T$, then new pressure in the containers will be
The temperature of an ideal gas is increased from $200\,K$ to $800\,K$. If r.m.s. speed of gas at $200\,K$ is $v_0$. Then, r.m.s. speed of the gas at $800\,K$ will be:
Let $\gamma_1$ be the ratio of molar specific heat at constant pressure and molar specific heat at constant volume of a monoatomic gas and $\gamma_2$ be the similar ratio of diatomic gas. Considering the diatomic gas molecule as a rigid rotator, the ratio, $\frac{\gamma_1}{\gamma_2}$ is