Chapter 3, Problem 3C.5E

Interpretation Introduction

Interpretation:

Partial pressure of ${\text{O}}_2$ in final 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 distinct gases. The expression of relation can be given 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 individual gas A.

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

$P$ is total pressure of mixture of gases.

Ideal gas law can be represented as equation for state for any imaginary gas. Expression for ideal gas equation is as follows:

  $PV=nRT$        (1)

Here,

$P$ is pressure of the gas.

$V$ is volume of gas.

$n$ denotes moles of a gas.

$R$ is gas constant.

$T$ is temperature of gas.

Mole fraction is a relation between moles of constituent and total moles of all constituent in mixture. The expression of relation can be represented as follows:

  $x_{\text{A}}=\frac{n_{\text{A}}}{n}$

Here,

$x_{\text{A}}$ is mole fraction of gas A.

$n_{\text{A}}$ are moles of gas A.

$n$ is sum moles of all gases.