An enzyme that follows Michaelis-Menten kinetics has a KM value of 15.0 μM and a kcat value of 221 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 ?

Respuesta :

Answer:5

[tex]7.26\times 10^{-6}[/tex]μM is the initial concentration of the substrate, [S], used in the reaction.

Explanation:

Michaelis–Menten 's equation:

[tex]v=V_{max}\times \frac{[S]}{(K_m+[S])}=k_{cat}[E_o]\times \frac{[S]}{(K_m+[S])}[/tex]

[tex]V_{max}=k_{cat}[E_o][/tex]

v = rate of formation of products =[tex]1.07\times 10^{-6}[/tex] μM/s

[S] = Concatenation of substrate = ?

[tex][K_m][/tex] =  Michaelis constant = 15.0 μM

[tex]V_{max}[/tex] = Maximum rate achieved

[tex]k_{cat}[/tex] = Catalytic rate of the system = 221 [tex]s^{-1}[/tex]

[tex][E_o][/tex] = Initial concentration of enzyme. =0.0100 μM

On substituting all the given values:

[tex][S]=7.26\times 10^{-6}[/tex]μM

[tex]7.26\times 10^{-6}[/tex]μM is the initial concentration of the substrate, [S], used in the reaction.