Only for Subhrodip Sengupta

4. The rate of reaction for an enzyme catalyzed substrate in a batch reactor can be described by the following relationship:

· Where, k = maximum reaction rate, mg/L.min

· C = substrate concentration, mg/L

· K = constant mg/L

Using the rate expression derive an equation that can be used predict the reduction of substrate concentration with time in a batch reactor. If k equals 40mg/L.min, and K = 100 mg/L, determine the time required to decrease the substrate conc. from 1000 to 100 mg/L

C

K

kC

r

c

+

=