Chapter 19, Problem 19.37E

Interpretation Introduction

Interpretation:

The value of $T/p$ that is necessary for $\text{He}$ to have a mean free path of $130\text{pm}$ is to be calculated. The reason as to how it would be feasible to attain the corresponding ratio is to be stated.

Concept introduction:

The mean distance traveled by the same particle between two consecutive collisions is termed as a mean free path. The value of the mean free path of a gas depends on the pressure and temperature of the system. The mean free path of gas is represented as,

$\lambda =\frac{kT}{\sqrt{2}\pi d^{2}p}$

Where,

• $T$ represents the temperature.

• $d$ collision diameter of a gas.

• $p$ represents the pressure.

• $k$ represents the Boltzmann constant with value $1.381\times {10}^{-23}\text{J}/\text{K}$.