Chapter 21, Problem 87PS

Interpretation Introduction

Interpretation:

To calculate the quantity of argon present in $1\text{L}$ of air and to calculate the volume of air required to isolate $1\text{mol}$ of argon at $1\text{atm}$ pressure and $25{}^{\circ }\text{C}$.

Concept introduction:

The pressure exerted by an individual gas in a mixture is known as its partial pressure.

Dalton’s law of partial pressure states that the total pressure of a mixture of gases is equal to the sum of the partial pressure of the component gases;

${\text{P}}_{\text{Total}}={\text{P}}_{\text{1}}+{\text{P}}_{\text{2}}+{\text{P}}_{\text{3}}+\mathrm{...}$

Dalton’s law can also be expressed using the mole fraction of gases, $x$;

${\text{P}}_{\text{1}}=x\left({\text{P}}_{\text{Total}}\right)$ (1)

The Ideal gas equation is written as,

$\text{PV}=n\text{RT}$ (2)

Here,

The pressure of the gas is $\text{P}$

The volume of the gas is $\text{V}$

The gas constant is $\text{R}$

The total number of moles is $n$

The temperature of the system is $\text{T}$