An enzyme that follows Michaelis-Menten kinetics has a KM value of 20.0 μM and a kcat value of 231 s−1. At an initial enzyme concentration of 0.0100 μM, the initial reaction velocity was found to be 1.07×10−6 μM/s. What was the initial concentration of the substrate, [S], used in the reaction ?

The initial concentration of substrate is μΜ.

Explanation:

Leonor Michaelis and Maud Menten gave an useful model to study the enzyme kinetics in 1913. They described the relationship between reaction velocity and substrate concentration and the equation framed by them is known as Michaelis-Menten equation.

According to Michaelis-Menten equation,

⇒    

Where,

V= μΜ , is the initial velocity

, is the turnover number i.e.number of molecules of substrate converted per second.

μΜ ,concentration at which  the velocity of reaction is half the maximum velocity,

μΜ, is the initial enzyme concentration.

Therefore,

⇒

⇒μ Μ

is this for the e2020 class