Statistics for Environmental Engineers

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References


Bates, D. M. and D. G. Watts (1985). “Multiresponse Estimation with Special Application to Linear Systems of Differential Equations,” Technometrics, 27, 329-339.


Bates, D. M. and D. G. Watts (1988). Nonlinear Regression Analysis & Its Applications, New York, John Wiley.


Box, G. E. P. and N. R. Draper (1965). “Bayesian Estimation of Common Parameters from Several Responses,” Biometrika, 52, 355.


Box, G. E. P., W. G. Hunter, J. F. MacGregor, and J. Erjavac (1973). “Some Problems Associated with the Analysis of Multiresponse Data,” Technometrics, 15, 33.


Hunter, W. G. (1967). “Estimation of Unknown Constants from Multiresponse Data,” Ind. & Engr. Chem. Fund., 6, 461.


Johnson, D. B. and P. M. Berthouex (1975). “Using Multiresponse Data to Estimate Biokinetic Parameters,” Biotech. and Bioengr., 17, 571-583.


Ramanathan, M. and A. F. Gaudy (1969). “Effect of High Substrate Concentration and Cell Feedback on Kinetic Behavior of Heterogeneous Populations in Completely Mixed Systems,” Biotech. and Bioengr., 11, 207.


Stewart, W. E., M. Caracotsios, and J. P. Sorensen (1992). GREG Software Package Documentation, Madison, WI, Department of Chemical Engineering, University of Wisconsin-Madison.

Exercises


46.1 Consecutive Reactions. Reactant A decomposes to form Product B which in turn decomposes to form Product C. That is, A ^ B ^ C. Both reactions are first-order with respect to the reactant. The models for the concentrations of A and B are:


Па = Ca0 exp(-dlt)


Q


Пь = QQ-Cao[exp (-Q11) exp(-Q21)] + CB() exp(Q)


Q2 — Q1


where Q1 is the reaction rate coefficient for the transformation of A to B and Q2 is the reaction rate coefficient for the transformation of B to C. CA0 = 5.0 mg/L and Cb0 = 0.5 mg/L are the initial concentrations of A and B. An experiment to measure CA and CB was performed with the results given in the table below.

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