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

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$2/3$ of the kinetic energy per unit volume of a gas

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(B) The pressure $P$ exerted by an ideal gas is given by the kinetic theory of gases as $P = \frac{1}{3} \rho v_{rms}^2$,where $\rho$ is the density and $v_{rms}$ is the root mean square velocity.We know that the kinetic energy per unit volume $(u)$ is given by $u = \frac{1}{2} \rho v_{rms}^2$.Therefore,$\rho v_{rms}^2 = 2u$.Substituting this into the pressure equation: $P = \frac{1}{3} (2u) = \frac{2}{3} u$.Thus,the pressure exerted by an ideal gas is $2/3$ of the kinetic energy per unit volume of the gas.

The pressure exerted by an ideal gas on the walls of a container is

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