Chapter 14.4, Problem 37SP

Interpretation Introduction

Interpretation: To determine the partial pressure of carbon dioxide.

Concept Introduction: A gas law known as Dalton's law of partial pressures asserts that the summation of the partial pressures exerted across all of the gases in a mixture exceeds the overall pressure that even the mixture of gases produces.

Answer to Problem 37SP

The pressure of carbon dioxide will be $\text{3}\text{.3 kPa}$

Explanation of Solution

The given data:

Total pressure = 32.9 KPa

  ${\text{Po}}_{\text{2}}$ = 6.6KPa

  ${\text{P}}_{{\text{N}}_{\text{2}}}$ = 23KPa

  ${\text{P}}_{{\text{CO}}_{\text{2}}}$ = ?

According to Dalton’s law:

  ${\text{P}}_{\text{total}}{\text{=P}}_{{\text{O}}_{\text{2}}}{\text{+P}}_{{\text{N}}_{\text{2}}}{\text{+P}}_{{\text{CO}}_{\text{2}}}\mathrm{.....}\text{(i)}$

Put the given data in the above equation.

  $\begin{array}{c}{\text{P}}_{\text{total}}{\text{=P}}_{{\text{O}}_{\text{2}}}{\text{+P}}_{{\text{N}}_{\text{2}}}{\text{+P}}_{{\text{CO}}_{\text{2}}}\\ \text{32}\text{.9 kPa}=\text{6}{\text{.6 kPa+23 kPa+P}}_{{\text{CO}}_{\text{2}}}\\ {\text{P}}_{{\text{CO}}_{\text{2}}}\text{=3}\text{.3 kPa}\end{array}$

Therefore, the pressure of carbon dioxide will be $\text{3}\text{.3 kPa}$