Chapter 17, Problem 17.102P

(a)

Interpretation Introduction

Interpretation:

Equilibrium pressure of $N$ in $N_2$ for the given reaction has to be calculated at $1000\text{ K}$ and $200\text{ atm}\text{.}$

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:

Equilibrium pressure of $H$ in $H_2$ for the given reaction has to be calculated at $1000\text{ K}$ and $600\text{ atm}\text{.}$

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

(c)

Interpretation Introduction

Interpretation:

Number of $N$ atoms and $H$ atoms for the given reaction has to be calculated.

Concept Introduction:

According to Ideal gas equation,

  $\text{Number}\text{of}\text{moles}\text{=}\frac{\text{Pressure}\times \text{Volume}}{\text{R}\text{×}\text{Temperature}}$

Number of atoms can be determined using the given formula,

  $No.\text{ of atoms = No}\text{. of moles }\times \text{ Avogadro's number}$

(c)

Interpretation Introduction

Interpretation:

Number of $N$ atoms and $H$ atoms for the given reaction has to be calculated.

Concept Introduction:

According to Ideal gas equation,

  $\text{Number}\text{of}\text{moles}\text{=}\frac{\text{Pressure}\times \text{Volume}}{\text{R}\text{×}\text{Temperature}}$

Number of atoms can be determined using the given formula,

  $No.\text{ of atoms = No}\text{. of moles }\times \text{ Avogadro's number}$

(d)

Interpretation Introduction

Interpretation:

More reasonable step to continue the mechanism after the catalytic dissociation has to be explained.