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(A) The $rms$ velocity of a gas is given by the formula $V_{rms} = \sqrt{\frac{3P}{\rho}}$,where $P$ is the pressure and $\rho$ is the density of the

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(A) The $rms$ velocity of a gas is given by the formula $V_{rms} = \sqrt{\frac{3P}{\rho}}$,where $P$ is the pressure and $\rho$ is the density of the gas.Squaring both sides,we get $V_{rms}^2 = \frac{3P}{\rho}$.Rearranging for pressure,we find $P = \frac{1}{3} \rho V_{rms}^2$.Since the density $\rho$ remains constant for a fixed mass of gas in a container,we have $P \propto V_{rms}^2$.If the $rms$ velocity is doubled $(V'_{rms} = 2V_{rms})$,the new pressure $P'$ will be $P' \propto (2V_{rms})^2 = 4V_{rms}^2$.Therefore,the pressure becomes $4$ times the original pressure.

If the $rms$ velocity of a gas in a container is doubled,the pressure will .........

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