Question

What does the following equation represent?

\(\frac{V_{max}}{Vol_s} t=[S]_0 X-K_m ln⁡(1-X)\)

(a) Miachelis Menten kinetics equation for enzymes

(b) Miachelis Menten kinetics equation for immobilized enzymes

(c) Miachelis Menten kinetics equation for stirred tank batch reactors

(d) Miachelis Menten kinetics equation for non-competitive inhibition

I got this question during an interview.

I'm obligated to ask this question of Immobilized Enzymes topic in chapter Immobilized Enzymes and their Uses of Enzyme Technology

Answer 1

Correct option is (c) Miachelis Menten kinetics equation for stirred tank batch reactors

Easiest explanation: The expected productivity of a batch reactor may be calculated by, assuming the validity of the non -reversible Miachelis -Menten reaction scheme with no diffusional control, inhibition or denaturation. The rate of reaction may be expressed in terms of the volume of substrate solution within the reactor and the time as follows:

\(\frac{V_{max}}{Vol_s} t=[S]_0 X-K_m ln⁡(1-X)\) where,

Vmax = Maximum rate of reaction, Vols = Volume of substrate solution, t = Time, Km = Miachelis Menten constant, S0 = Initial substrate concentration and X = Fractional conversation = 1 – S/S0.