Chapter 4, Problem 4.42P

Interpretation Introduction

Interpretation:

A feed stream of $60\text{mole\%}{\text{HCl, 36 mol-\% O}}_2{\text{ and 4 mol-\% N}}_2$ enters in a reactor $\text{at 823}\text{.15 K}$ If conversion of $\text{HCl}$ is $75\text{\%}$ and process is isothermal. Calculate heat transferred to reactor per mole of the entering gas mixture. Feed stream produces chlorine.

Concept Introduction :

The heatis transferred to reactor per mole of the entering gas mixture can be calculated as:

  $\Delta H^{\circ }=\Delta H^{\circ }{}_0+R{\displaystyle \underset{T_0}{\overset{T}{\int }}\frac{\Delta C^{\circ }{}_P}{R}dT}$......(1)

Where $\Delta H^{\circ }$ is heat of reaction at any temperature $T$, $\Delta H^{\circ }{}_0$ is heat of reaction at standard temperature $T_0$ and

  ${\displaystyle \underset{T_0}{\overset{T}{\int }}\frac{\Delta C^{\circ }{}_P}{R}dT}=(\Delta A)T_0(\tau -1)+\frac{\Delta B}{2}{T}_0{}^2({\tau }^2-1)+\frac{\Delta C}{3}{T}_0{}^3({\tau }^3-1)+\frac{\Delta D}{T_0}(\frac{\tau -1}{\tau })$......(2)

Where $\tau =\frac{T}{T_0}$