Chapter 11.7, Problem 11.12WE

Interpretation Introduction

Interpretation:

The partial pressure of each component and total pressure in the vessel has to be calculated.

Concept introduction:

Ideal gas is the most usually used form of the ideal gas equation, which describes the relationship among the four variables $\text{P, V, n, and T}\text{.}$  An ideal gas is a hypothetical sample of gas whose pressure-volume-temperature behavior is predicted accurately by the ideal gas equation.

                              $\text{PV = nRT}$

• 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:

${\text{P}}_{\text{Total}}\text{}{\text{=P}}_{\text{gas 1}}\text{}{\text{+P}}_{\text{gas 2}}\text{}{\text{+P}}_{\text{gas 3}}\text{}\mathrm{....}$

To determine: The partial pressure of each component of the mixture, and sum the two partial pressures to find the total pressure.