Chapter 8, Problem 107E

Interpretation Introduction

Interpretation: For the given four conditions, average kinetic energy, average velocity and collision frequency of neon gas is needed to find whether increases, decreases or same.

Concept introduction:

• Kinetic molecular theory explains the properties of ideal gas. From the postulates of kinetic molecular theory it is clear that kinetic energy of gas particle is directly proportional to the Kelvin temperature of the gas.

Average kinetic energy of gas can be determined as,   $K{E}_{avg}=\left(3/2\right)RT$

• The average  velocity can be determined,

$C_{ave}={\left(\frac{8RT}{\pi M}\right)}^{1/2}$ (1)

$\begin{array}{l}R=\frac{8.314J}{Kmol}\\ M=Molarmassinkg\end{array}$

• Collision frequency is defined as the number of collision per unit time. Collision frequency of  a single gas can be determined as,

  $\begin{array}{l}{Z}_{AA}=\frac{\pi .n.\sigma .C_{ave}}{\sqrt{2}}\\ {\text{Z}}_{\text{AA}}\text{=collisionfrequency}\\ \text{n}\text{=}\text{molecules}\text{per}\text{unit}\text{volume}\\ {\text{C}}_{\text{ave}}\text{=}\text{average}\text{velocity}\text{of}\text{gas}\text{gas}\text{molecules}\end{array}$