Chapter 4, Problem 4.45P

Interpretation Introduction

Interpretation:

The 1-butene feed stream is diluted with steam in ratio of 10 moles of steam per mole of 1-butene fed to reactor isothermally at temperature ${525}^{\text{o}}\text{C}$ results in $\text{33\%}$ of 1-butene is converted into 1,2-butadiene. The heat transferred in $\frac{\text{J}}{\text{mol of 1-butene}}$ to or from the reactor should be calculated.

Concept Introduction:

The heat of reaction to temperature of product 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 $\tau =\frac{T}{T_0}$