The initial concentration of substrate is [tex]9.26 \times 10^{-6}[/tex] 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,
[tex]V= \frac{K_{cat} }{K_{m} } [E] [S][/tex]
⇒ [tex][S]= \frac{VK_{m} }{K_{cat}[E] }[/tex]
Where,
V= [tex]1.07\times 10^{-6}[/tex] μΜ , is the initial velocity
[tex]K_{cat} =231 s^{-1} \\[/tex], is the turnover number i.e.number of molecules of substrate converted per second.
[tex]K_{m} = 20[/tex] μΜ ,concentration at which the velocity of reaction is half the maximum velocity,
[tex][E] = 0.0100[/tex] μΜ, is the initial enzyme concentration.
Therefore,
⇒[tex][S]= \frac{{1.07} \times{10^{-6}\times20}}{231\times0.01}[/tex]
⇒[tex][S]=9.26\times10^{-6}[/tex]μ Μ
