Chapter 15, Problem 15.85QP

Interpretation Introduction

Interpretation:

The partial pressure of gases at equilibrium in the given reaction if the total pressure is 2.00atm has to be determined.

Concept Introduction

The partial pressure of a gas in a mixture is the product of the mole fraction of the gas and the total pressure.

  $\begin{array}{l}{\text{P}}_{\text{A}}\text{=}{\text{X}}_{\text{A}}{\text{P}}_{\text{total}}\\ \text{where}{\text{X}}_{\text{A}}\text{is}\text{the}\text{mole}\text{fraction}\text{of}\text{the}\text{component}\text{A}\end{array}$

From the reaction,

$a{A}_{\left(g\right)}\underset{}{\overset{}{\rightleftharpoons }}b{B}_{\left(g\right)}$

The expression for $K_p$ is

$K_p=\frac{P_B^b}{P_A^a}$