Numerical Methods for Engineers
Numerical Methods for Engineers
7th Edition
ISBN: 9780073397924
Author: Steven C. Chapra Dr., Raymond P. Canale
Publisher: McGraw-Hill Education
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Chapter 21, Problem 20P

The outflow concentration from a reactor is measured at anumber of times over a 24-hr period:

t, hr 0 1 5.5 10 12 14 16 18 20 24
c, mg/L 1 1.5 2.3 2.1 4 5 5.5 5 3 1.2

The flow rate for the outflow in m3/scan be computed with the following equation:

Q ( t ) = 20 + 10 sin ( 2 π 24 ( t 10 ) )

Use the best numerical integration method to determine the flow-weighted average concentration leaving the reactor over the 24-hr period,

c ¯ = 0 t Q ( t ) c ( t ) d t 0 t Q ( t ) d t

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