Answer the following questions, showing work in the form of calculations. a) At what substrate concentration would an enzyme with a Vmax of 102.5 M/min and a Km of 0.0025 M operate at one-quarter of its maximum rate? b) Determine the fraction of Vmax that would be obtained at the following substrate concentrations [S]: 0.5Km, 2Km, and 10Km

Biochemistry
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Author:Lubert Stryer, Jeremy M. Berg, John L. Tymoczko, Gregory J. Gatto Jr.
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Chapter1: Biochemistry: An Evolving Science
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Answer the following questions, showing work in the form of calculations. a) At what substrate concentration would an enzyme with a Vmax of 102.5 M/min and a Km of 0.0025 M operate at one-quarter of its maximum rate? b) Determine the fraction of Vmax that would be obtained at the following substrate concentrations [S]: 0.5Km, 2Km, and 10Km. 

Expert Solution
Step 1

Michaelis-Menten equation:

  • Leonor Michaelis and Maude Mented created a simple model that accounts for most of the features of enzyme-catalyzed reactions.
  • In this model, the enzyme reversibly combines with the substrate to form an ES complex that further yields a product and regenerates free enzyme.
  • It describes how the reaction velocity varies with substrate concentration.

V0 =Vmax [S]Km +[S]

in this V0 is the initial reaction velocity

Vmax is the maximal velocity

Km is the Michaelis constant

[S] is the substrate concentration

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