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(C) For an ideal gas heated at constant volume $(V)$,the density $(d = m/V)$ remains constant because mass $(m)$ and volume $(V)$ are constant.Accordi

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Collision frequency

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(C) For an ideal gas heated at constant volume $(V)$,the density $(d = m/V)$ remains constant because mass $(m)$ and volume $(V)$ are constant.According to the kinetic theory of gases,the average speed of gas molecules is proportional to $\sqrt{T}$.Collision frequency $(Z)$ is given by the formula $Z = \sqrt{2} \pi d^2 \bar{v} N^*$,where $\bar{v}$ is the average speed and $N^*$ is the number density.Since $\bar{v} \propto \sqrt{T}$,as temperature $(T)$ increases,the average speed increases,which leads to an increase in the collision frequency $(Z)$.Mean free path $(\lambda)$ is given by $\lambda = \frac{1}{\sqrt{2} \pi d^2 N^*}$. Since $N^*$ (number density) is constant at constant volume,$\lambda$ remains constant.Molar mass is an intrinsic property of the gas and does not change with temperature.

$A$ certain mass of an ideal gas is heated at constant volume. Which of the following parameters of the gas will increase?

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