Elements of
Chemical Reaction Engineering
6th Edition



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Essentials of
Chemical Reaction Engineering
Second Edition

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Chapter 5: Isothermal Reactor Design: Conversion

Additional Homework Problems

CDP5-AB Solution

First, we will list the known values:

AgClO4 + CH3ICH3ClO4 + AgI

A + BC + D Batch Process
V = 30 dm3
CAo = 0.5 mol/dm3
CBo = 0.7 mol/dm3
rB = -kCBCA3/2 at T = 298 K
k = 0.00042 (dm3/mol)3/2/s
Final X = 0.98

Mole Balance

Rate Law

rA = rB = -kCBCA3/2

Stoichiometry

Combine

Combining the above equations, we arrive at:

Evaluate

The final equation, with all values entered, is:

This equation can only be solved numerically, unless you really enjoy integration. The Polymath simultaneous differential equation solver may be used to solve the problem quickly and easily. The Polymath equations used should look like this:

After Polymath solves the equations, it gives a chart of initial, maximum, minimum, and final values:

From these results, we can see that the final time (and therefore the time to reach 98% conversion) is

t = 162531 s = 45.15 hr

Back to problem