Chapter 3, Problem 3C.3E

(a)

Interpretation Introduction

Interpretation:

Partial pressure of ${\text{N}}_2$ and ${\text{H}}_2$ at $273.15\text{K}$ has to be determined.

Concept Introduction:

An ideal gas contains a large number of randomly moving particles that are supposed to have perfectly elastic collisions among themselves. It is a theoretical concept. Gases that show perfect elastic collision are practically not possible. At higher $T$ and lower $P$ gases behave almost ideally.

Ideal gas law is an equation of state for any hypothetical gas. Expression for ideal gas equation is as follows:

  $PV=nRT$

Here,

$P$ is pressure of the gas.

$V$ is volume of gas.

$n$ denotes moles of gas.

$R$ is gas constant.

$T$ is temperature of gas.

(b)

Interpretation Introduction

Interpretation:

Total pressure of mixture has to be determined.

Concept Introduction:

Dolton’s law of partial pressure gives relation between total pressure of mixture of gases and partial pressure of individual gases. The expression of relation can be represented as follows:

  $P=P_{\text{A}}+P_{\text{B}}+\cdot \cdot \cdot$

Here,

A and B are individual gases.

$P_{\text{A}}$ is partial pressure of gas A.

$P_{\text{B}}$ is partial pressure of gas B.

$P$ is total pressure of mixture of gases.