Page 88 - Modeling of Chemical Kinetics and Reactor Design

58 Modeling of Chemical Kinetics and Reactor Design

Adding Equations 1-251, 1-252, and 1-253 gives

 k  05 .
C * =  a 1  C (1-254)
2
CH 5  k + k  CH 6
2
5
b
a 5
Therefore,
dC dC
− CH 6 = + ( r ) = CH 4
2
2
2
dt CH 4 dt
dC  k  05 .
CH 4 = kC = k 3  a 1  C (1-255)
2
2
dt 3 CH 5 *  k a 5 + k  CH 6
2
5
b
This mechanism once again predicts the first order dependence of
the reaction.
REFERENCES

1. Bailey, J. E. and Ollis, D. F. Biochemical Engineering Funda-
mentals, 2nd ed., McGraw-Hill Chemical Engineering Series, 1988.
2. Lin, K. H. “Part 1, Applied Kinetics,” Industrial and Engineering
Chemistry, Vol. 60, No. 5, pp. 61–82, May 1968.
3. Bodenstein, M. and Lind, S. C. Physik. Chem, 57, 168, 1907.
4. Bodenstein, M. Z. Elektrochem, 85, 329, 1913.
5. Nernst, W. Z. Elektrochem, 24, 335, 1918.
6. Taylor, H. S. Trans. Faraday Soc., 21, 5601, 1926.
7. Rice, F. O. and Herzfeld, K. F. J. Am. Chem. Soc., 56, 284, 1934.
8. Yang, K. H. and Hougen, O. A. “Determination of Mechanism of
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p. 146, March 1950.
9. Hougen, O. A. and Watson, K. M. Ind. Eng. Chem., 35, 529, 1943.