A step tracer input was used on a real reactor with the following results:
For t ≤ 10 min, then C_T = 0.
For 10 ≤ t ≤ 30 min, then C_T = 10 g/dm³.
For t ≥ 30 min, then C_T = 40 g/dm³.
The second-order reaction A → B with k = 0.1 dm³/mol • min is to be carried out in the real reactor with an entering concentration of A of 1.25 mol/dm³ at a volumetric flow rate of 10 dm3/min. Here, k is given at 325 K.
a. What is the mean residence time tm?
b. What is the variance σ2?
c. What conversions do you expect from an ideal PFR and an ideal CSTR in a real reactor with tm?
d. What is the conversion predicted by
1. The segregation model?
2. The maximum mixedness model?
3. The T-I-S model?
5. What conversion is predicted by an ideal laminar flow reactor?
6. Assume now that the reaction is first order with k = 0.4 min^–1 and calculate the conversion using the tanks-in-series model.