The km of an enzyme is 5. 0 mm. Calculate the substrate concentration when this enzyme operates at one‑quarter of its maximum rate.



Answer :

The substrate concentration of this enzyme operates at one‑quarter of its maximum rate is = 0.333.

What is the relationship between Km and substrate concentration?

  • In practice, Km is the concentration of substrate that allows the enzyme to achieve half Vmax. An enzyme with a high Km has a low affinity for its substrate and requires a higher concentration of substrate to achieve Vmax."

  • Because Km is a constant, increasing the substrate concentration has no effect on it. The substrate concentration Km corresponds to the substrate concentration at which the reaction rate of the enzyme-catalyzed reaction is half of the maximum reaction rate Vmax.

Steps of the equation :

[tex]V_{0} = \frac{V_{max}[5] }{[5]+Km}[/tex]

Fraction of [tex]V_{max}[/tex] :

[tex]\frac{V_{0} }{V_{max}} = \frac{[5]}{[5] + Km} = \frac{0.5 Km}{1.50 + Km} = 0.333[/tex]

The substrate concentration of this enzyme operates at one‑quarter of its maximum rate is = 0.333.

To learn more about substrate concentration refer to

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