It has been observed that substrate inhibition occurs in the following enzymatic reaction:...

It has been observed that substrate inhibition occurs in the following enzymatic reaction:

E + S →P + E

(a) Show that the rate law for substrate inhibition is consistent with the plot in Figure P7-12b of —rs (mmol/L-min) versus the substrate concentration S (mmol/L).

(b) If this reaction is carried out in a CSTR that has a volume of 1000 dm3, to which the volumetric flow rate is 3.2 dm3/min, determine the three possible steady states, noting, if possible, which are stable. The entrance concentration of the substrate is 50 mmol/dm3. What is the highest conversion?

(c) What would be the effluent substrate concentration if the total enzyme concentration is reduced by 33%?

(d) List ways you can work this problem incorrectly.

(e) How could you make this problem more difficult?