Chapter 12.1, Problem 4PP

Interpretation Introduction

Interpretation:

The partial pressure of hydrogen gas in the mixture of hydrogen and helium gases 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 4PP

${\text{P}}_{\text{H2}}\text{=161mmHg}$

Explanation of Solution

Given information :

Total pressure = 600 mmHg

Partial pressure of Helium = 439 mmHg

Total pressure = 600 mmHg

Partial pressure of Helium = 439 mmHg

Substitute of the values to calculate the partial pressure of hydrogen:

$\begin{array}{l}{\text{P}}_{\text{total}}{\text{= P}}_{\text{He}}{\text{+ P}}_{\text{H2}}\\ {\text{600 mmHg = 439 mmHg + P}}_{\text{H2}}\\ {\text{P}}_{\text{H2}}\text{= 600 mmHg -439 mmHg}\\ {\text{P}}_{\text{H2}}\text{=161mmHg}\end{array}$

Conclusion

Thus,

${\text{P}}_{\text{H2}}\text{=161mmHg}$