EBK NUMERICAL METHODS FOR ENGINEERS
EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 9780100254145
Author: Chapra
Publisher: YUZU
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Chapter 12, Problem 8P

Chemical/Bio Engineering

The Lower Colorado River consists of a series of four reservoirs as shown in Fig. P12.8. Mass balances can be written for each reservoir and the following set of simultaneous linear algebraic equations results:

[ 13.442 0 0 0 13.442 12.252 0 0 0 12.252 12.377 0 0 0 12.377 11.797 ] { c 1 c 2 c 3 c 4 } = { 750.5 300 102 30 }

where the right-hand-side vector consists of the loadings of chloride to each of the four lakes and c 1 , c 2 , c 3 , and c 4 = the resulting chloride concentrations for Lakes Powell, Mead, Mohave, and Havasu, respectively.

(a) Use the matrix inverse to solve for the concentrations in each of the four lakes.

(b) How much must the loading to Lake Powell be reduced in order for the chloride concentration of Lake Havasu to be 75?

(c) Using the column-sum norm, compute the condition number and how many suspect digits would be generated by solving this system.

Chapter 12, Problem 8P, Chemical/Bio Engineering The Lower Colorado River consists of a series of four reservoirs as shown

FIGURE P12.8

The Lower Colorado River.

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Chapter 12 Solutions

EBK NUMERICAL METHODS FOR ENGINEERS

Ch. 12 - Chemical/Bio Engineering 12.11 A peristaltic pump...Ch. 12 - Chemical/Bio Engineering 12.12 Figure P12.12...Ch. 12 - Civil/Environmental Engineering A civil engineer...Ch. 12 - Civil/Environmental Engineering Perform the same...Ch. 12 - Civil/Environmental Engineering 12.15 Perform the...Ch. 12 - Civil/Environmental Engineering Calculate the...Ch. 12 - Civil/Environmental Engineering In the example for...Ch. 12 - Civil/Environmental Engineering Employing the same...Ch. 12 - Civil/Environmental Engineering Solve for the...Ch. 12 - Prob. 20PCh. 12 - Prob. 21PCh. 12 - Civil/Environmental Engineering 12.22 A truss is...Ch. 12 - Electrical Engineering 12.23 Perform the same...Ch. 12 - Electrical Engineering Perform the same...Ch. 12 - Electrical Engineering 12.25 Solve the circuit in...Ch. 12 - Electrical Engineering 12.26 An electrical...Ch. 12 - Electrical Engineering 12.27 Determine the...Ch. 12 - Electrical Engineering Determine the currents for...Ch. 12 - Electrical Engineering The following system of...Ch. 12 - Electrical Engineering 12.30 The following system...Ch. 12 - Mechanical/Aerospace Engineering Perform the same...Ch. 12 - Mechanical/Aerospace Engineering 12.32 Perform the...Ch. 12 - Mechanical/Aerospace Engineering 12.33 Idealized...Ch. 12 - Mechanical/Aerospace Engineering Three blocks are...Ch. 12 - Mechanical/Aerospace Engineering Perform a...Ch. 12 - Mechanical/Aerospace Engineering Perform the same...Ch. 12 - Mechanical/Aerospace Engineering 12.37 Consider...Ch. 12 - Mechanical/Aerospace Engineering The steady-state...Ch. 12 - Mechanical/Aerospace Engineering 12.40 A rod on a...
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