Problem 2.94

Using the Maxwell distribution function, determine the pressure exerted by gas on a wall, if the gas temperature is \(T\) and the concentration of molecules is \(n\).

Reveal Answer

\begin{aligned} &\text { 2.94. } p=\int_{0}^{\infty} 2 m v_{x} \cdot v_{x} d n\left(v_{x}\right)=n k T \text { , }\\ &\text { where } \quad d n\left(v_{x}\right)= \end{aligned} =(m / 2 \pi k T)^{1 / 2} n \cdot \theta^{-m v_{x}^{2} / 2 k T} d v_{x}

Kinetic theory of gases. Boltzmanns Law and Maxwell distribution