what is the maximum velocity of an enzymatic reaction given that the initial velocity is 500 umolml-1s-1 and the km is 25 m at a substrate concentration of 75 m.

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09-12-2022
Chemistry

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what is the maximum velocity of an enzymatic reaction given that the initial velocity is 500 umolml-1s-1 and the km is 25 m at a substrate concentration of 75 m.

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rathipushpendra345 rathipushpendra345 · Answer 1 · 2022-12-15T23:18:04-05:00

An enzymatic reaction can move at a maximum speed of 666.67 umol-1s-1.

The Michaelis-Menten equation, developed by Briggs and Haldane, best captures the enzyme equation by modeling the rate of enzymatic reactions by coupling the rate of product creation to the concentration of substrate, as shown below.

[tex]v_{i} = \frac{v_{max} * [S]}{k_{m}+ [S] }[/tex]

Where v denotes the reaction’s speed, Vmax denotes the system’s maximum rate of growth, [S] denotes the substrate’s concentration and [tex]k_{m}[/tex] denotes the Michaelis constant.

[tex]500= \frac{v_{max}*75 }{25+75}[/tex]

[tex]500= \frac{v_{max} * 75}{100}[/tex]

[tex]500*100= v_{max} *75[/tex]

[tex]\frac{50000}{75} = v_{max}[/tex]

[tex]v_{max} = 666.67[/tex]

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