CHFEN 6553
Graduate Reactors Course
Prof. Terry A. Ring
Computer Problem 2
Given the measured residence time distribution for a real glass lined reactor Die given in the attached data. The data was taken with the following operating parameters:
Run Number 17L-200
Impeller RPM = 200
Volume of Tank =V=
17±0.02 L.Flow Rate =Q =
7.571±0.095L/min
Determine the resultant conversion for second order irreversible reaction for macromixing and micromixing models.
Compare these results to those for an ideal CSTR with 1) the same mean residence time as the measured residence time distribution and 2) the residence time given by V/Q.
Diagnose the mixing problem in this reactor and suggest a reactor model which is better suited to the observed residence time distribution. Calculate the conversion for this model reactor.
|
Time (min) |
E(t) |
|
0 |
0 |
|
0.03 |
0.010625 |
|
0.07 |
1.944666 |
|
0.1 |
0.602973 |
|
0.13 |
0.441391 |
|
0.17 |
0.441379 |
|
0.2 |
0.427915 |
|
0.23 |
0.387495 |
|
0.27 |
0.387527 |
|
0.3 |
0.374066 |
|
0.33 |
0.360604 |
|
0.37 |
0.347143 |
|
0.4 |
0.333664 |
|
0.43 |
0.320202 |
|
0.47 |
0.306741 |
|
0.5 |
0.306741 |
|
0.53 |
0.306741 |
|
0.57 |
0.293279 |
|
0.6 |
0.293279 |
|
0.63 |
0.293264 |
|
0.67 |
0.293297 |
|
0.7 |
0.293297 |
|
0.73 |
0.279835 |
|
0.77 |
0.279835 |
|
0.8 |
0.266373 |
|
0.83 |
0.252897 |
|
0.87 |
0.252897 |
|
0.9 |
0.252897 |
|
0.93 |
0.266391 |
|
0.97 |
0.252929 |
|
1 |
0.252929 |
|
1.03 |
0.239465 |
|
1.07 |
0.239453 |
|
1.1 |
0.239453 |
|
1.13 |
0.239453 |
|
1.17 |
0.225989 |
|
1.2 |
0.225989 |
|
1.23 |
0.212527 |
|
1.27 |
0.212516 |
|
1.3 |
0.212516 |
|
1.33 |
0.212516 |
|
1.37 |
0.199054 |
|
1.4 |
0.199054 |
|
1.43 |
0.199054 |
|
1.47 |
0.199072 |
|
1.5 |
0.199072 |
|
1.53 |
0.199072 |
|
1.57 |
0.199072 |
|
1.6 |
0.185607 |
|
1.63 |
0.199063 |
|
1.67 |
0.185598 |
|
1.7 |
0.185598 |
|
1.73 |
0.18563 |
|
1.77 |
0.18563 |
|
1.8 |
0.18563 |
|
1.83 |
0.18563 |
|
1.87 |
0.172151 |
|
1.9 |
0.172151 |
|
1.93 |
0.172151 |
|
1.97 |
0.15869 |
|
2 |
0.158675 |
|
2.03 |
0.158675 |
|
2.07 |
0.158675 |
|
2.1 |
0.158675 |
|
2.13 |
0.145214 |
|
2.17 |
0.145214 |
|
2.2 |
0.15871 |
|
2.23 |
0.158696 |
|
2.27 |
0.131741 |
|
2.3 |
0.131741 |
|
2.33 |
0.131741 |
|
2.37 |
0.131741 |
|
2.4 |
0.131741 |
|
2.43 |
0.118264 |
|
2.47 |
0.131758 |
|
2.5 |
0.131758 |
|
2.53 |
0.118297 |
|
2.57 |
0.131793 |
|
2.6 |
0.131793 |
|
2.63 |
0.104823 |
|
2.67 |
0.118317 |
|
2.7 |
0.118317 |
|
2.73 |
0.118317 |
|
2.77 |
0.131813 |
|
2.8 |
0.131813 |
|
2.83 |
0.131813 |
|
2.87 |
0.118337 |
|
2.9 |
0.131799 |
|
2.93 |
0.131831 |
|
2.97 |
0.131831 |
|
3 |
0.118367 |
|
3.03 |
0.104873 |
|
3.07 |
0.118367 |
|
3.1 |
0.118355 |
|
3.13 |
0.118355 |
|
3.17 |
0.10489 |
|
3.2 |
0.10489 |
|
3.23 |
0.10489 |
|
3.27 |
0.10489 |
|
3.3 |
0.104879 |
|
3.33 |
0.091385 |
|
3.37 |
0.091385 |
|
3.4 |
0.077921 |
|
3.43 |
0.091385 |
|
3.47 |
0.077921 |
|
3.5 |
0.077921 |
|
3.53 |
0.077921 |
|
3.57 |
0.077921 |
|
3.6 |
0.077909 |
|
3.63 |
0.091403 |
|
3.67 |
0.077909 |
|
3.7 |
0.077909 |
|
3.73 |
0.091403 |
|
3.77 |
0.077941 |
|
3.8 |
0.077929 |
|
3.83 |
0.077929 |
|
3.87 |
0.077929 |
|
3.9 |
0.077929 |
|
3.93 |
0.077929 |
|
3.97 |
0.064453 |
|
4 |
0.064453 |
|
4.03 |
0.064453 |
|
4.07 |
0.064453 |
|
4.1 |
0.064453 |
|
4.13 |
0.050989 |
|
4.17 |
0.064485 |
|
4.2 |
0.064485 |
|
4.23 |
0.064485 |
|
4.27 |
0.064474 |
|
4.3 |
0.064474 |
|
4.33 |
0.064474 |
|
4.37 |
0.064503 |
|
4.4 |
0.064491 |
|
4.43 |
0.064491 |
|
4.47 |
0.064491 |
|
4.5 |
0.064491 |
|
4.53 |
0.064523 |
|
4.57 |
0.064523 |
|
4.6 |
0.07802 |
|
4.63 |
0.064509 |
|
4.67 |
0.064509 |
|
4.7 |
0.064509 |
|
4.73 |
0.051047 |
|
4.77 |
0.051047 |
|
4.8 |
0.051035 |
|
4.83 |
0.051035 |
|
4.87 |
0.051035 |
|
4.9 |
0.064532 |
|
4.93 |
0.051068 |
|
4.97 |
0.051068 |
|
5 |
0.051068 |
|
5.03 |
0.051056 |
|
5.07 |
0.051088 |
|
5.1 |
0.051056 |
|
5.13 |
0.037591 |
|
5.17 |
0.051088 |
|
5.2 |
0.051088 |
|
5.23 |
0.064584 |
|
5.27 |
0.064573 |
|
5.3 |
0.051108 |
|
5.33 |
0.051108 |
|
5.37 |
0.037612 |
|
5.4 |
0.051108 |
|
5.43 |
0.051108 |
|
5.47 |
0.051094 |
|
5.5 |
0.051094 |
|
5.53 |
0.051094 |
|
5.57 |
0.051094 |
|
5.6 |
0.051094 |
|
5.63 |
0.064587 |
|
5.67 |
0.064576 |
|
5.7 |
0.051114 |
|
5.73 |
0.064611 |
|
5.77 |
0.051114 |
|
5.8 |
0.051114 |
|
5.83 |
0.051114 |
|
5.87 |
0.051114 |
|
5.9 |
0.0511 |
|
5.93 |
0.0511 |
|
5.97 |
0.0511 |
|
6 |
0.037638 |
|
6.03 |
0.0511 |
|
6.07 |
0.037624 |
|
6.1 |
0.037624 |
|
6.13 |
0.037624 |
|
6.17 |
0.037624 |
|
6.2 |
0.05112 |
|
6.23 |
0.051108 |
|
6.27 |
0.051108 |
|
6.3 |
0.037644 |
|
6.33 |
0.037644 |
|
6.37 |
0.037644 |
|
6.4 |
0.037644 |
|
6.43 |
0.037644 |
|
6.47 |
0.037644 |
|
6.5 |
0.037644 |
|
6.53 |
0.024168 |
|
6.57 |
0.024168 |
|
6.6 |
0.024168 |
|
6.63 |
0.024168 |
|
6.67 |
0.024168 |
|
6.7 |
0.024156 |
|
6.73 |
0.03765 |
|
6.77 |
0.024185 |
|
6.8 |
0.024185 |
|
6.83 |
0.024185 |
|
6.87 |
0.024185 |
|
6.9 |
0.024174 |
|
6.93 |
0.024174 |
|
6.97 |
0.024174 |
|
7 |
0.01068 |
|
7.03 |
0.024174 |
|
7.07 |
-0.00278 |
|
7.1 |
0.024162 |
|
7.13 |
0.010698 |
|
7.17 |
0.024194 |
|
7.2 |
0.024194 |
|
7.23 |
0.024182 |
|
7.27 |
0.024182 |
|
7.3 |
0.024182 |
|
7.33 |
0.010686 |
|
7.37 |
0.010686 |
|
7.4 |
0.024182 |
|
7.43 |
0.024182 |
|
7.47 |
0.024171 |
|
7.5 |
0.024171 |
|
7.53 |
0.010706 |
|
7.57 |
0.0242 |
|
7.6 |
0.0242 |
|
7.63 |
0.010706 |
|
7.67 |
0.024188 |
|
7.7 |
0.024188 |
|
7.73 |
0.024188 |
|
7.77 |
0.010724 |
|
7.8 |
0.010724 |
|
7.83 |
0.010724 |
|
7.87 |
0.010712 |
|
7.9 |
0.024209 |
|
7.93 |
0.024209 |
|
7.97 |
0.010744 |
|
8 |
0.010712 |
|
8.03 |
0.010744 |
|
8.07 |
0.010732 |
|
8.1 |
0.010732 |
|
8.13 |
0.010732 |
|
8.17 |
0.010732 |
|
8.2 |
0.024229 |
|
8.23 |
0.024229 |
|
8.27 |
0.024214 |
|
8.3 |
0.01075 |
|
8.33 |
0.01075 |
|
8.37 |
0.01075 |
|
8.4 |
0.01075 |
|
8.43 |
0.024232 |
|
8.47 |
0.010738 |
|
8.5 |
0.024232 |
|
8.53 |
0.024232 |
|
8.57 |
0.024232 |
|
8.6 |
0.010747 |
|
8.63 |
0.01075 |
|
8.67 |
0.024244 |
|
8.7 |
0.024244 |
|
8.73 |
0.024244 |
|
8.77 |
0.037737 |
|
8.8 |
0.037737 |
|
8.83 |
0.037734 |
|
8.87 |
0.037734 |
|
8.9 |
0.024238 |
|
8.93 |
0.010747 |
|
8.97 |
0.010747 |
|
9 |
0.010747 |
|
9.03 |
0.024244 |
|
9.07 |
0.024244 |
|
9.1 |
0.024244 |
|
9.13 |
0.024244 |
|
9.17 |
0.03774 |
|
9.2 |
0.03774 |
|
9.23 |
0.03774 |
|
9.27 |
0.024244 |
|
9.3 |
0.01075 |
|
9.33 |
0.01075 |
|
9.37 |
0.01075 |
|
9.4 |
0.01075 |
|
9.43 |
0.01075 |
|
9.47 |
0.01075 |
|
9.5 |
0.024247 |
|
9.53 |
0.024247 |
|
9.57 |
0.01075 |
|
9.6 |
0.024247 |
|
9.63 |
0.01075 |
|
9.67 |
-0.00275 |
|
9.7 |
0.01075 |
|
9.73 |
0.01075 |
|
9.77 |
0.010741 |
|
9.8 |
0.010741 |
|
9.83 |
-0.00275 |
|
9.87 |
-0.00275 |
|
9.9 |
-0.00275 |
|
9.93 |
-0.00275 |
|
9.97 |
-0.00275 |
|
10 |
-0.00275 |
|
10.03 |
0.01075 |
|
10.07 |
0.01075 |
|
10.1 |
0.01075 |
|
10.13 |
0.01075 |
|
10.17 |
0.01075 |
|
10.2 |
0.024244 |
|
10.23 |
0.01075 |
|
10.27 |
0.01075 |
|
10.3 |
-0.00274 |
|
10.33 |
-0.00275 |
|
10.37 |
-0.00275 |
|
10.4 |
-0.00275 |
|
10.43 |
-0.00275 |
|
10.47 |
-0.00275 |
|
10.5 |
-0.00275 |
|
10.53 |
-0.00275 |
|
10.57 |
-0.00275 |
|
10.6 |
-0.00275 |
|
10.63 |
-0.00275 |
|
10.67 |
0.010747 |
|
10.7 |
0.010747 |
|
10.73 |
0.010747 |
|
10.77 |
0.010747 |
|
10.8 |
0.010747 |
|
10.83 |
0.010747 |
|
10.87 |
0.024244 |
|
10.9 |
0.024247 |
|
10.93 |
0.01075 |
|
10.97 |
0.01075 |
|
11 |
-0.00275 |
|
11.03 |
0.01075 |
|
11.07 |
0.01075 |
|
11.1 |
0.01075 |
|
11.13 |
0.01075 |
|
11.17 |
-0.00275 |
|
11.2 |
-0.00275 |
|
11.23 |
0.01075 |
|
11.27 |
0.01075 |
|
11.3 |
0.01075 |
|
11.33 |
0.024244 |
|
11.37 |
-0.00275 |
|
11.4 |
0.01075 |
|
11.43 |
-0.00275 |
|
11.47 |
-0.00275 |
|
11.5 |
-0.00275 |
|
11.53 |
-0.00275 |
|
11.57 |
-0.00275 |
|
11.6 |
-0.00275 |
|
11.63 |
-0.00275 |
|
11.67 |
-0.00275 |
|
11.7 |
0.01075 |
|
11.73 |
0.01075 |
|
11.77 |
0.01075 |
|
11.8 |
-0.00275 |
|
11.83 |
0.01075 |
|
11.87 |
-0.00275 |
|
11.9 |
-0.00275 |
|
11.93 |
-0.00275 |
|
11.97 |
-0.00275 |
|
12 |
-0.00275 |
|
12.03 |
-0.00275 |
|
12.07 |
-0.01624 |
|
12.1 |
-0.01624 |
|
12.13 |
-0.01624 |
|
12.17 |
-0.01624 |
|
12.2 |
-0.00275 |
|
12.23 |
-0.00275 |
|
12.27 |
-0.00275 |
|
12.3 |
-0.00275 |
|
12.33 |
0.010747 |
|
12.37 |
0.010747 |
|
12.4 |
0.010747 |
|
12.43 |
0.024244 |