In reaction engineering, the average residence time 7 is the amount of time an element of fluid spends in a reactor and is related to the amount of substance present in the system. The easiest method to determine 7 is via a pulse stimulus, where a small amount of a tracer is put into a reactor operating under steady state and the effluent concentration is measured over time. The average residence time is calculated as: Ĵt-C dt 7 = jc dt 0 ; where C is the concentration. 0 100 200 300 400 500 600 700 800 900 C (ppm) 0 20 20 16 10 7 5 3 1 0 Given the data in the table, use Excel to numerically integrate this equation (note there are two integrals to evaluate) to solve for 7 using the Trapezoidal Rule.
In reaction engineering, the average residence time 7 is the amount of time an element of fluid spends in a reactor and is related to the amount of substance present in the system. The easiest method to determine 7 is via a pulse stimulus, where a small amount of a tracer is put into a reactor operating under steady state and the effluent concentration is measured over time. The average residence time is calculated as: Ĵt-C dt 7 = jc dt 0 ; where C is the concentration. 0 100 200 300 400 500 600 700 800 900 C (ppm) 0 20 20 16 10 7 5 3 1 0 Given the data in the table, use Excel to numerically integrate this equation (note there are two integrals to evaluate) to solve for 7 using the Trapezoidal Rule.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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
Transcribed Image Text:1. In reaction engineering, the average residence time 7 is the amount of time an element of fluid
spends in a reactor and is related to the amount of substance present in the system. The easiest
method to determine 7 is via a pulse stimulus, where a small amount of a tracer is put into a
reactor operating under steady state and the effluent concentration is measured over time. The
average residence time is calculated as:
Ĵt-C dt
7=º
JC dt
; where C is the concentration.
t (s)
0
100
200
300
400
500
600
700
800
900
C (ppm)
0
20
20
16
10
7
5
3
1
0
Given the data in the table, use Excel to numerically integrate this equation (note there are two
integrals to evaluate) to solve for 7 using the Trapezoidal Rule.
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