Chapter 4, Problem 4.50P

Interpretation Introduction

Interpretation:

The final temperature of acetylene if heat transfer is given as $30000\frac{\text{J}}{\text{mol}}$ and an acetylene is heated from initial temperature ${\text{25}}^{\text{o}}\text{C}$ at $\text{1}\text{atm}$ pressure in a steady flow process should be calculated.

Concept Introduction:

The transfer of heat in steady-flow exchangers for a gas is given as:

$Q=\Delta H=R{\displaystyle \underset{T_0}{\overset{T}{\int }}\frac{\Delta C_P}{R}dT}$........ (1)

Where $\Delta H$ is heat of reaction at any temperature $T$ .

and

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

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