15) Reaction Engineering, How to solve volumes and conversions of PFR and CSTR

In this video, I solve problem 2-7 from Elements of Chemical Reaction Engineering, Fogler, 4th ed.

2-7) The exothermic reaction A - B + C was carried out adiabatically and the following data recorded:

X | -r_A (mol/(dm^3*min)
--------------------------------------------------
0 | 1.0
0.2 | 1.67
0.4 | 5.0
0.45 | 5.0
0.5 | 5.0
0.6 | 5.0
0.8 | 1.25
0.9 | 0.9

The entering molar flow rate of A was 300 mol/min.

a) What are the PFR and CSTR volumes necessary to acheive 40% conversion? (V_PFR = 72 dm^3, V_CSTR = 24 dm^3)

b) Over what range of conversions would the CSTR and PFR reactor volumes be identical?

c) What is the maximum conversion that can be achieved in a 105-dm^3 CSTR?

d) What conversion can be achieved if a 72-dm^3 PFR is followed in series by a 24-dm^3 CSTR?

e) What conversion can be achieved if a 24-dm^3 CSTR is followed in a series by a 72-dm^3 PFR?

f) Plot the conversion and rate of reaction as a function of PFR reactor volume up to a volume of 100-dm^3.