Chapter 17, Problem 17.78P

(a)

Interpretation Introduction

Interpretation:

The given reaction is

  ${\text{N}}_{\text{2(g)}}{\text{ + 3H}}_{\text{2(g)}}\rightleftharpoons {\text{2NH}}_{\text{3(g)}}$

The partial pressures of each reactant and ${\text{P}}_{\text{total}}$ has to be calculated.

Concept Introduction:

Equilibrium constant using partial pressure:

The equilibrium constant of partial pressure can be defined as the ratio of products and reactants concentration at equilibrium in terms of partial pressure.

For a reaction,

  ${\text{aA}}_{\text{(g)}}{\text{+ bB}}_{\text{(g)}}\rightleftharpoons {\text{cC}}_{\text{(g)}}{\text{+ dD}}_{\text{(g)}}$

The expression of ${\text{K}}_{\text{p}}$ can be given as

  ${\text{K}}_{\text{p}}\text{ = }\frac{{{\text{(P}}_{\text{C}}\text{)}}^{\text{c}}{{\text{(P}}_{\text{D}}\text{)}}^{\text{d}}}{{{\text{(P}}_{\text{A}}\text{)}}^{\text{a}}{{\text{(P}}_{\text{B}}\text{)}}^{\text{b}}}$

(b)

Interpretation Introduction

Interpretation:

The given reaction is

  ${\text{N}}_{\text{2(g)}}{\text{ + 3H}}_{\text{2(g)}}\rightleftharpoons {\text{2NH}}_{\text{3(g)}}$

The partial pressure of each reactant and ${\text{P}}_{\text{total}}$ under the given conditions assuming that partial pressure of ${\text{NH}}_{\text{3}}$ is $\text{50 atm}$ has to be calculated.  The suggestion is valid or not has to be given.

Concept Introduction:

Equilibrium constant using partial pressure:

The equilibrium constant of partial pressure can be defined as the ratio of products and reactants concentration at equilibrium in terms of partial pressure.

For a reaction,

  ${\text{aA}}_{\text{(g)}}{\text{+ bB}}_{\text{(g)}}\rightleftharpoons {\text{cC}}_{\text{(g)}}{\text{+ dD}}_{\text{(g)}}$

The expression of ${\text{K}}_{\text{p}}$ can be given as

  ${\text{K}}_{\text{p}}\text{ = }\frac{{{\text{(P}}_{\text{C}}\text{)}}^{\text{c}}{{\text{(P}}_{\text{D}}\text{)}}^{\text{d}}}{{{\text{(P}}_{\text{A}}\text{)}}^{\text{a}}{{\text{(P}}_{\text{B}}\text{)}}^{\text{b}}}$