A rigid diatomic gas having molar mass M is c | vedclass

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(A) The kinetic energy of the container is converted into the internal energy of the gas when it is stopped suddenly.Let $n$ be the number of moles of

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$\frac{MV^2}{5R}$

Vedclass · Answer

(A) The kinetic energy of the container is converted into the internal energy of the gas when it is stopped suddenly.Let $n$ be the number of moles of the gas. The kinetic energy of the container is $K = \frac{1}{2} M_{total} V^2$, where $M_{total} = nM$.So, $K = \frac{1}{2} nMV^2$.This kinetic energy is converted into the internal energy of the gas: $\Delta U = n C_v \Delta T$.For a rigid diatomic gas, the molar heat capacity at constant volume is $C_v = \frac{5}{2} R$.Equating the two: $\frac{1}{2} nMV^2 = n (\frac{5}{2} R) \Delta T$.Solving for $\Delta T$: $\Delta T = \frac{MV^2}{5R}$.

$A$ rigid diatomic gas having molar mass $M$ is contained in an insulated container. The container is moving with velocity $V$. If it is stopped suddenly, the change in temperature is ($R$ - gas constant).

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