Chapter 21, Problem 21.53QP

Interpretation Introduction

Interpretation: The partial pressure and number of molecules of ozone in the given condition should be determined.

Concept Introduction:

• Ozone is an allotrope of oxygen with chemical formula ${\text{O}}_{\text{3}}$.
• Partial pressure is the pressure which the gas would have if it alone occupied the volume. Partial pressure of one gas (indicating A as the corresponding gas here ) in the total gas can be calculated by using the equation,

${\text{P}}_{\text{A}}\text{=}{\text{X}}_{\text{A}}{\text{P}}_{\text{Total}}$ ${\text{P}}_{\text{A}}$ is the partial pressure of A.

${\text{P}}_{\text{Total}}$ is the partial pressure of total gas.

${\text{X}}_{\text{A}}$ is the mole fraction of A

• Mole fraction is the amount of a constituent, divided by the total amount of all constituents in a mixture. The sum of all the mole fraction is equal to 1.

                     Mole fraction of A  ${\text{X}}_{\text{A}}\text{=}\frac{{\text{n}}_{\text{A}}}{\text{n}{}_{\text{Total}}}$

  n_A  and n_Total are the number of moles of A and total number of moles in a mixture respectively.

• Number of moles can be calculated in accordance with ideal gas equation,

  $\text{n}\text{=}\frac{\text{PV}}{\text{RT}}$    P, V, T and R are the pressure, volume, temperate and universal gas constant.

To determine: the mole fraction of ozone.