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(B) According to the kinetic theory of gases,the pressure $P$ exerted by an ideal gas is given by the formula: $P = \frac{1}{3} \rho v_{rms}^2$,where

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mean of the square of the speed of the gas molecules.

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(B) According to the kinetic theory of gases,the pressure $P$ exerted by an ideal gas is given by the formula: $P = \frac{1}{3} \rho v_{rms}^2$,where $\rho$ is the density and $v_{rms}$ is the root mean square speed.Since $\rho = \frac{M}{V}$,we can write $P = \frac{1}{3} \frac{N m}{V} v_{rms}^2$.Also,the mean square speed is defined as $\langle v^2 \rangle = \frac{1}{N} \sum v_i^2 = v_{rms}^2$.Therefore,the pressure $P$ is directly proportional to the mean of the square of the speeds of the gas molecules,which is $\langle v^2 \rangle$.

The pressure exerted by an ideal gas at a particular temperature is directly proportional to

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