Question

based on kinetic theory of gases, calculate the pressure of a gas enclosed in a cylinder in terms of mean translational kinetic energy of the gas per unit volume of the gas.

Answer 1

$$\begin{gathered} Weknowthataccordingtokinetictheoryofgasesthepressure \\ isgivenby, \\ P=\frac{1}{3}\frac{mN}{V}{\overline{C}}^2 \\ orP=\frac{2}{3V}\times \frac{1}{2}M{\overline{C}}^2 \\ orP=\frac{2}{3}\times K.E.\left(whereV=1istaken\right) \\ ThereforepressureintermsofmeantranslationalkineticenergyK.E. \\ isgivenby, \\ P=\frac{2}{3}\times K.E. \end{gathered}$$