Derive the mass balance equations and solve the volume V for a CSTR, operated isothermallyfor the second-order reaction 2R→P, where rR = -kC. Data are k=5.0 L/mol·s, CR, in=0.004mol/L, CR, out=0.0003 mol/L, and Q=200L/s. What is the volume if the reactor is a PFR?

Write the expression for mole balance in CSTR as follows: Rate of moles in-rate of moles out + rate…

Answered: Derive the mass balance equations and…

Introduction to Chemical Engineering Thermodynamics

8th Edition

ISBN:9781259696527

Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart

Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart

Chapter1: Introduction

Section: Chapter Questions

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Derive the mass balance equations and solve the volume V for a CSTR, operated isothermally
for the second-order reaction 2R→P, where rR = -kC. Data are k=5.0 L/mol·s, CR, in=0.004
mol/L, CR, out=0.0003 mol/L, and Q=200L/s. What is the volume if the reactor is a PFR?

Expert Solution

Step 1

Write the expression for mole balance in CSTR as follows:

$\begin{array}{rcl} Rate of moles in - rate of moles out + rate of generation & = & rate of accumulation \\ n_{0} - n + r V & = & \frac{d N}{d t} \end{array}$

In CSTR there is constant inflow and outflow. So $\frac{d N}{d t} = 0$

$\begin{array}{rcl} n_{0} - n + r_{R} V & = & 0 \\ V & = & \frac{n_{0} - n}{- r_{R}} \\ V & = & \frac{Q (C_{R, i n} - C_{R, o u t})}{k C_{R}^{2}} . . . . . (1) \end{array}$

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