Chapter 6, Problem 6.102QE

Interpretation Introduction

Interpretation:

Temperature of neon atoms that have rms speed of $\text{700 m/s}$ has to be calculated.

Concept Introduction:

In accordance with the Kinetic molecular theory not all of the gas particles will move at the same speed but with an average speed that is given by the expression as follows,

  $\text{Average Kinetic energy}=\frac{1}{2}m{\left({\overline{u}}_{\text{rms}}\right)}^2$

Here,

$m$ is the mass of gas particles.

${\overline{u}}_{\text{rms}}$ is the root mean square speed.

The relation between rms speed, temperature, and molar mass is given by the equation.

  ${\overline{u}}_{\text{rms}}=\sqrt{\frac{3RT}{M}}$