An enzyme follows Michaelis-Menten kinetics with Km = 0.4 mM. What substrate concentration is required to achieve a velocity equal to 75% of Vmax?
- A 0.4 mM
- B 0.8 mM
- C 1.2 mM ✓
- D 3.2 mM
Correct answer: C. 1.2 mM
Explanation
Setting v = 0.75 Vmax in the Michaelis-Menten equation gives 0.75 = [S]/(Km + [S]), so 0.75Km + 0.75[S] = [S], hence 0.25[S] = 0.75Km and [S] = 3Km. With Km = 0.4 mM, three times that value is 1.2 mM. Students who forget the factor of three often pick 0.4 mM, which yields only half of Vmax, not three quarters.
Reference: Lippincott's Illustrated Reviews: Biochemistry, 8th ed.
High-yield for: NEET PGINI-CETNExTFMGEUSMLEPLABMRCP
Written and medically reviewed by the StethoPrep medical team.