Chapter 11, Problem 11.147QP

Interpretation Introduction

Interpretation:

The total pressure inside the drum after the accident has to be calculated.

Concept Introduction:

• The sum pressure of an ideal gas mixture is the amount of the partial pressures of the gases in the mixture.
• The pressure exerted by an individual gas in a mixture is known as its partial pressure.
• Assuming we have a mixture of ideal gases, we can use the ideal gas law to solve problems involving gases in a mixture.
• Dalton's law of partial pressures states that the total pressure of a mixture of gases is equal to the sum of the partial pressures of the component gases:
• ${\text{P}}_{\text{Total}}\text{}{\text{=P}}_{\text{gas 1}}\text{}{\text{+P}}_{\text{gas 2}}\text{}{\text{+P}}_{\text{gas 3}}\text{}\mathrm{....}$

Boyle’s law states that the volume of a sample of a gas at constant temperature is inversely proportional to pressure

$\begin{array}{l}\text{V=}{\text{k}}_{\text{1}}\frac{\text{1}}{\text{P}}\text{(or)}\\ {\text{P}}_{\text{1}}{\text{V}}_{\text{1}}{\text{= P}}_{\text{2}}{\text{V}}_{\text{2}}\left(\text{at constant temperature}\right)\end{array}$