Chapter 12.1, Problem 5PP

Interpretation Introduction

Interpretation:

The total pressure of the mixture that contain 4 gases with partial pressure of 5.00 kPa, 4.56 kPa, 3.02 kPa and 1.20 kPa needs to be determined.

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 5PP

${\text{P}}_{\text{total}}\text{= 13}\text{.78kPa}$

Explanation of Solution

Given information :

Partial pressures of gases = 5.00 kPa, 4.56 kPa, 3.02 kPa and 1.20 kPa

Substitute of the values to calculate the total pressure of gas mixture:

$\begin{array}{l}{\text{P}}_{\text{total}}{\text{= P}}_{\text{1}}{\text{+ P}}_{\text{2}}{\text{+ P}}_{\text{3}}{\text{+ P}}_{\text{4}}\\ {\text{P}}_{\text{total}}\text{= 5}\text{.00 kPa+ 4}\text{.56 kPa+ 3}\text{.02 kPa +1}\text{.20 kPa}\\ {\text{P}}_{\text{total}}\text{= 13}\text{.78kPa}\end{array}$

Conclusion

Thus,

${\text{P}}_{\text{total}}\text{= 13}\text{.78kPa}$