Question

Under what conditions the reaction rate of an enzymolysis that follows Michaelis-Menten kinetics is a quarter of its maximum value?

a. [S]=KM
b. [S]=KM/3
c. [S]=2KM
d. [S]=KM+3
e. [S]= (KM)^1/3

Answer 1

Michaelis-Menten kinetics in the field of biochemistry is considered as one of the well known models for enzyme kinetics. The model represents an equation that describes the enzymatic reactions's rate by relating the reaction rate to the substrate's concentration. The equation is named after the two famous scientists, Leonor Michaelis and Maud Menten.

The formula is :

`$v=(V_(max)[S])/(K_M + [S])$`

where v = velocity of reaction

`$V_(max)$` = maximum rate achieved

`$K_M$` = Michaelis constant

[S] = concentration of the substrate, S

According to the question, by putting the velocity of reaction, v as
`$(V_(max))/(4)$`, we get the above equation as

`$[S]= (K_M)/(3)$`

Therefore the answer is
`$[S]= (K_M)/(3)$`