(a) Plot C(t) as a function of time. (b) Plot E(t) as a function of time. (c) Calculate the mean residence time and variance.

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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Q5.
A pulse test gave the concentration measurements as shown in Table 5.1 at the outlet:
Table 5.1
t (min)
C x 10
t (min)
C x 10°
15
238
0.4
329
20
136
1.0
622
25
77
2
812
30
44
3
831
35
25
4
785
40
14
5
720
45
8
6
650
50
5
8
523
60
10
418
(a)
Plot C(t) as a function of time.
(b)
Plot E(t) as a function of time.
(c)
Calculate the mean residence time and variance.
Transcribed Image Text:Q5. A pulse test gave the concentration measurements as shown in Table 5.1 at the outlet: Table 5.1 t (min) C x 10 t (min) C x 10° 15 238 0.4 329 20 136 1.0 622 25 77 2 812 30 44 3 831 35 25 4 785 40 14 5 720 45 8 6 650 50 5 8 523 60 10 418 (a) Plot C(t) as a function of time. (b) Plot E(t) as a function of time. (c) Calculate the mean residence time and variance.
Expert Solution
Step 1

Chemical Engineering homework question answer, step 1, image 1

this is the table given in the question where we had to find the E(t) at the very first moment which is equal to 

E(t) = C(t)tC(t) here the value of tC(t) is equal to 6238.

t(min) E(t)
0 0
0.4 0.052741
1 0.099711
2 0.13017
3 0.133216
4 0.125842
5 0.115422
6 0.1042
8 0.083841
10 0.067009
15 0.038153
20 0.021802
25 0.012344
30 0.007054
35 0.004008
40 0.002244
45 0.001282
50 0.000802
60 0.00016

this the distribution of E(t) vs time (min)

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