Handbook of Chemical Engineering Calculations, Third Edition

Section 5: Reaction Kinetics and Reactor Design

Overview

R.M.Baldwin, Ph.D.

Professor

Chemical Engineering Department

Colorado School of Mines

Golden, Co

M.S.Graboski, Ph.D.

Research Professor

Chemical Engineering Department

Colorado School of Mines

Golden, Co

[*]Example 5.10 is adapted from Smith, Chemical Process Design, McGraw-Hill.

5.1 DETERMINING A RATE EXPRESSION BY INTEGRAL ANALYSIS OF BATCH-REACTOR DATA

Saponification of ethyl acetate with sodium hydroxide, that is,


has been investigated at 298 K (77 F) in a well-stirred isothermal batch reactor. The following data were collected:

Time, min

5

9

13

20

25

33

37

Concentration of NaOH, g mol/L

0.00755

0.00633

0.00541

0.00434

0.00385

0.0032

0.00296

The run began with equimolar (0.1 g mol/L) amounts of sodium hydroxide and ethyl acetate as the reactants. Calculate the overall order of the reaction and the value of the reaction rate constant at 298 K, and write the rate expression for the reaction.

Calculation Procedure

1. Assume a functional form for the rate expression. The rate expression for this reaction may be given by the following equation, which relates the rate of disappearance r of sodium hydroxide to concentrations of reactants and products:


In this expression, a, b, c, and d are the unknown reaction orders, k 1 and k ?1 are the forward and reverse rate constants, and the bracketed formulas denote the concentrations of the compounds. Integral analysis of the data requires an assumption as to the functional form of the reaction rate expression (e.g., zero-order, first-order, second-order with regard...

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