The volumetric flow rate through a reactor is 10 dm3/min. A pulse test gave the following concentration measurements at the outlet:
1 (min) | c X 105 | 1 (min) | c X 105 |
0 | 0 | 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 | 1 |
10 | 418 |
|
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(a) Plot the external age distribution E(t) as a function of time.
(b) Plot the external age cumulative distribution F(t) as a function of time.
(c) What are the mean residence time tm and the variance, cr2?
(d) What fraction of the material spends between 2 and 4 min in the reactor?
(e) What fraction of the material spends longer than 6 min in the reactor?
(f) What fraction of the material spends less than 3 min in the reactor?
(g) Plot the normalized distributions £(©) and F(©) as a function of 0.
(h) What is the reactor volume?
(i) Plot the internal age distribution 1(1) as a function of time, (j) What is the mean internal age αl?
(k) Plot the intensity function, A(t), as a function of time.
(1) The activity of a “fluidized” CSTR is maintained constant by feeding will be continued fresh catalyst and removing spent catalyst at a constant rate. Using the preceding RTD data, what is the mean catalytic activity if the catalyst decays according to the rate law
With
(m) What conversion would be achieved in an ideal PFR for a second-order reaction with kCA0 = 0.1 min−1 and CA0 = 1 mol/dm3?
(n) Repeat (m) for a laminar flow reactor,
(o) Repeat (m) for an ideal CSTR.
(p) What would be the conversion for a second-order reaction with kCA0 =0.1 min−1 and CA0 = 1 mol/dm using the segregation model?
(q) What would be the conversion for a second-order reaction with kCA0 =0.1 min−1 and C A0 = 1 mol/dm using the maximum Mixedness model?
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