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The enzyme alkaline phosphatase was tested for its catalytic activity using the substrate para-nitrophenylphosphate. The KM obtained was 10 mM and Vmax was 100 μmol/min. Which one of the following options represents the initial velocity of the reaction at a substrate concentration of 10 mM?

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CSIR-UGC (NET) Life Science: Held on (17 Feb 2022 Shift 1)
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  1. 50 μmol/min
  2. 100 μmol/min
  3. 500 μmol/min
  4. 20 μmol/min

Answer (Detailed Solution Below)

Option 1 : 50 μmol/min
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Detailed Solution

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Concept:

Michaelis Menten Equation

\(V_0 =\frac {V_{max}[S]} {K_m + [S]}\)

  • V0 = measured initial velocity of an enzymatic reaction,
  • Vmax = reaction's maximum velocity
  • Km = Michaelis-Menten constant

F1 Savita Teaching 31-5-23 D1

Explanation:

Given - 

  • Km = 10 mM 
  • Vmax = 100 μmol/min
  • S = 10 mM

Applying Michaelis Menten Equation:

  • \(V_0=\frac {100\times (10\times 10^3)}{(10\times 10^3)+(10\times 10^3)}\)
  • V0 = 50 μmol/min

Therefore, the correct answer is option A (50 μmol/min).

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