Chapter 10, Problem 84QP

Interpretation Introduction

Interpretation:

The number of $\text{CO}$ molecules in the gaseous compound of nickel, $\text{Ni}{\left(\text{CO}\right)}_x$, is to be determined.

Concept introduction:

From Maxwell’s Speed Distribution Curve, the molecular speed of two gas samples can be compared using the following relation:

$u_{rms}\left(1\right)=\sqrt{\frac{3RT}{{\mu }_1}}$

and,

$u_{rms}\left(2\right)=\sqrt{\frac{3RT}{{\mu }_2}}$

Now,

$\begin{array}{c}\frac{u_{rms}\left(1\right)}{u_{rms}\left(2\right)}=\frac{\sqrt{\frac{3RT}{{\mu }_1}}}{\sqrt{\frac{3RT}{{\mu }_2}}}\\ =\sqrt{\frac{{\mu }_2}{{\mu }_1}}\end{array}$ ….. (1)

Here, $u_{rms}\left(1\right)$ and $u_{rms}\left(2\right)$ are the root mean square speeds of each gas compound, respectively, $R$ is thegas constant, $T$ istheabsolute temperature, and ${\mu }_1\text{ and }{\mu }_2$ are the molar masses of each gas compound, respectively.