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(B) The root mean square speed $(V_{rms})$ of a gas is given by the formula: $V_{rms} = \sqrt{\frac{3RT}{M}}$.Since $R$ and $M$ are constants for a gi

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Increase the pressure four times,by heating the gas.

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(B) The root mean square speed $(V_{rms})$ of a gas is given by the formula: $V_{rms} = \sqrt{\frac{3RT}{M}}$.Since $R$ and $M$ are constants for a given gas,$V_{rms} \propto \sqrt{T}$.To double the $V_{rms}$,the temperature must be increased by a factor of $4$ (since $\sqrt{4} = 2$).For a rigid container,volume $(V)$ is constant. According to Gay-Lussac's Law,$P \propto T$. Therefore,if the temperature increases by a factor of $4$,the pressure $(P)$ must also increase by a factor of $4$.Thus,increasing the pressure four times by heating the gas will double the $V_{rms}$.

Which of the following changes can be made in order to double the root mean square speed,$(V_{rms})$,of a gas kept in a rigid container?

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