Chapter 10, Problem 7E

(a)

Interpretation Introduction

Interpretation: The increasing order of partial pressure of three different gases should be determined

Concept Introduction: Partial pressure is defined as the pressure exerted by the individual gas in a mixture. According to the ideal gas equation, pressure is directly proportional to the number of moles (molecules) of gas.

(b)

Interpretation Introduction

Interpretation: The partial pressure of each gas in the mixture should be determined.

Concept Introduction: Partial pressure is defined as the pressure exerted by the individual gas in a mixture. According to the ideal gas equation, pressure is directly proportional to the number of moles (molecules) of gas.
Total number of moles of gases present in the mixture is calculated as,

$n=n_r+n_y+n_b$

Where,

• $n$ is the total number of moles.
• $n_r$ is the number of moles of red balls in the mixture.
• $n_y$ is the number of moles of yellow balls in the mixture.
• $n_b$ is the number of moles of blue balls in the mixture.

Mole fraction of the gas represented by red ball is calculated by the formula,

${\chi }_r=\frac{n_r}{n}$

Where,

• ${\chi }_r$is the mole fraction of the gas represented by red balls.
• $n_r$ is the number of moles of red balls in the mixture.
• $n$is the total number of moles.

Partial pressure exerted by the gas represented by red balls is calculated by the formula,

$P_r={\chi }_r\times P$

Where,

• $P_r$ is the partial pressure exerted by the gas.
• $P$ is the total pressure exerted by the mixture.
• ${\chi }_r$ is the mole fraction of the gas represented by red balls.