Chapter 12.1, Problem 6PP

Interpretation Introduction

Interpretation:

The partial pressure of carbon dioxide in a gas mixture with total pressure of 30.4 kPa needs to be determined, if the partial pressure of other two gases are 16.5 kPa and 3.47 kPa.

Concept introduction:

In a gas mixture, each gas component exerts some pressure. The sum of all gas pressure values is equal to the total pressure of the mixture. The pressure of each gas component in the gas mixture is called as partial pressure of that gas. The Dalton law of partial pressure of gas can be written as:

${\text{P}}_{\text{total}}{\text{= P}}_{\text{1}}{\text{+ P}}_{\text{2}}{\text{+ P}}_{\text{3}}\text{…}\text{.}$

Answer to Problem 6PP

${\text{P}}_{\text{CO2}}\text{= 10}\text{.43 kPa }$

Explanation of Solution

Given information :

Total pressure = 30.4 kPa

Partial pressures of other two gases = 16.5 kPa and 3.47 kPa

Total pressure = 30.4 kPa

Partial pressures of other two gases = 16.5 kPa and 3.47 kPa

Substitute of the values to calculate the partial pressure of carbon dioxide:

$\begin{array}{l}{\text{P}}_{\text{total}}{\text{= P}}_{\text{1}}{\text{+ P}}_{\text{2}}{\text{+ P}}_{\text{CO2}}\\ \text{30}\text{.4 kPa = 16}\text{.5 kPa+ 3}{\text{.47 kPa+ P}}_{{\text{CO}}_{\text{2}}}\\ {\text{P}}_{{\text{CO}}_{\text{2}}}\text{= 30}\text{.4 kPa- (16}\text{.5 kPa+ 3}\text{.47 kPa)}\\ {\text{P}}_{{\text{CO}}_{\text{2}}}\text{= 10}\text{.43 kPa }\end{array}$

Conclusion

Thus,

${\text{P}}_{{\text{CO}}_{\text{2}}}\text{= 10}\text{.43 kPa }$