Chapter 5, Problem 5.125QP

Interpretation Introduction

Interpretation:

The root-mean-square speed of Ne atoms has to be determined.

Concept Introduction:

Root mean-square speed is the parameter to measure the speed of particles in a gas. M is the molecular mass of the molecule at temperature T, root mean-square speed (${\text{u}}_{\text{rms}}$) has to be calculate using the formula

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

$\begin{array}{l}{\text{E}}_{\text{k}}\text{=}\frac{\text{1}}{\text{2}}\text{m}\overline{{\text{u}}^{\text{2}}}\\ \overline{{\text{u}}^{\text{2}}}\text{=}\frac{{\text{2E}}_{\text{k}}}{\text{m}}\end{array}$

Recall that mass must have units of kilogram because kinetic energy has units of joules

$\text{1}\text{J}\text{=}\frac{\text{1}\text{kg}\text{.}{\text{m}}^{\text{2}}}{{\text{s}}^{\text{2}}}$