Chapter 17, Problem 17.105P

(a)

Interpretation Introduction

Interpretation:

Equilibrium pressure of $N_2$, $O_2$ and $NO$ for the given reaction has to be calculated.

Concept Introduction:

Equilibrium constant: It is the ratio of products to reactants has a constant value when the reaction is in equilibrium at a certain temperature. And it is represented by the letter K.

For a reaction,

$\text{aA}\text{+}\text{bB}\underset{}{\rightleftharpoons }\text{cC}\text{+}\text{dD}$

The equilibrium constant in terms of  partial pressure is, $K=\frac{{\left(P_{\text{C}}\right)}^{\text{c}}{\left(P_D\right)}^{\text{d}}}{{\left(P_A\right)}^{\text{a}}{\left(P_{\text{B}}\right)}^{\text{b}}}$

where,

a, b, c and d are the stoichiometric coefficients of reactant and product in the reactions

(b)

Interpretation Introduction

Interpretation:

$P_{container}$ in the container ${\text{N}}_{\text{2}}\left(g\right){\text{ + O}}_{\text{2}}\left(g\right)\underset{}{\rightleftharpoons }\text{ 2NO}\left(g\right)$ has to be calculated.

Concept Introduction:

According to Dalton’s law of partial pressures, the total pressure is the sum partial pressure of all the gaseous component present.

(c)

Interpretation Introduction

Interpretation:

${\text{K}}_{\text{C}}$ for the given reaction ${\text{N}}_{\text{2}}\left(g\right){\text{ + O}}_{\text{2}}\left(g\right)\underset{}{\rightleftharpoons }\text{ 2NO}\left(g\right)$ has to be calculated.

Concept Introduction:

The relation between ${\text{K}}_{\text{p}}$ and ${\text{K}}_{\text{c}}$ is given by the following equation.

${\text{K}}_{\text{p}}{\text{ = K}}_{\text{c}}{\text{(RT)}}^{\Delta {\text{n}}_{\text{gas}}}\boxed{\begin{array}{l}{\text{K}}_{\text{p}}\text{ = }Equilibriumcons\tan tintermsofpartialpressure\\ {\text{K}}_{\text{c}}\text{ = }Equilibriumcons\tan tintermsofconcentration\\ \Delta {\text{n}}_{\text{gas}}\text{ = moles of gaseous product }-\text{ moles of gaseous reactant}\end{array}}$

Only moles of gaseous products and reactants are used for calculating $\Delta {\text{n}}_{\text{gas}}.$