Question:
Consider an enzyme that follows simple Michaelis-Menten kinetics, and has a $ πΎ_π of 5 Β΅π$. The initial velocity of the reaction will be 10% of the maximum velocity at a substrate concentration of Β΅π (rounded off to two decimal places).
Consider an enzyme that follows simple Michaelis-Menten kinetics, and has a $ πΎ_π of 5 Β΅π$. The initial velocity of the reaction will be 10% of the maximum velocity at a substrate concentration of Β΅π (rounded off to two decimal places).
Updated On: Aug 1, 2025
Show Solution
Verified By Collegedunia
Correct Answer: 0.54
Solution and Explanation
For Michaelis-Menten kinetics, the initial velocity (\(v_0\)) at 10 is \( v_0 = 0.1 \cdot V_{\text{max}}\). The formula for the reaction velocity is:
\( v_0 = \frac{V_{\text{max}}[S]}{K_M + [S]}. \)
Setting \(v_0 = 0.1 V_{\text{max}}\) and solving for \([S]\):
\( 0.1 = \frac{[S]}{K_M + [S]}. \)
Substitute \(K_M = 5\):
\( 0.1 = \frac{[S]}{5 + [S]}, \)
\( 0.1(5 + [S]) = [S], \)
\( 0.5 + 0.1[S] = [S], \)
\( 0.5 = 0.9[S], \)
\( [S] = \frac{0.5}{0.9} = 0.556 \mu \text{M}. \)
Was this answer helpful?
1
2
Top IIT JAM BT Biology Questions
- Which one of the following compounds inhibits the polymerization of tubulin to microtubules in animal cells?
- Which one of the following is NOT a plant vascular tissue?
- A growing shoot of a germinating seedling encounters an underground obstacle. Which one of the following hormones elicits βtriple responseβ to the underground obstacle?
- Which one of the following pairs of antibodies contains βJ-chainβ in their multimeric form?
- Restriction enzymes that recognize the same nucleotide sequence but cleave at different positions are called
View More Questions
Top IIT JAM BT Enzyme kinetics Questions
- In an enzyme catalyzed first-order reaction, the substrate conversion follows an exponential pattern such that 80% of the substrate is converted in 10 minutes. The first-order rate constant (in min\(^{-1}\)) of the reaction, rounded off to THREE decimal places, is ............
The concentration of a purified enzyme is 10 mg/mL. Ten microlitres of the enzyme solution in a total reaction volume of 1 mL catalyses the formation of 20 nanomoles of product in one minute under optimum conditions. The specific activity of the enzyme is .............. unit/mg.
- Phosphoglucoisomerase catalyzes the following reaction: \[ \text{Glu-6-P} \rightleftharpoons \text{Fru-6-P} \] If 0.05% of the original concentration of Glu-6-P remains at equilibrium, then the equilibrium constant of this reaction is ............
- Which one of the following parameters changes upon doubling the enzyme concentration?
Top IIT JAM BT Questions
- Which one of the following compounds inhibits the polymerization of tubulin to microtubules in animal cells?
- Arrange the following elements in increasing order of their electronegativity according to the Pauling scale
C, Na, Be and Br - Which one of the following is NOT a plant vascular tissue?
- A growing shoot of a germinating seedling encounters an underground obstacle. Which one of the following hormones elicits βtriple responseβ to the underground obstacle?
- Which one of the following pairs of antibodies contains βJ-chainβ in their multimeric form?
View More Questions