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

Correct option is A

Explanation-

To solve this problem, we use the Michaelis-Menten equation:

$$v = \frac{V_{\text{max}} [S]}{K_m + [S]}$$

By putting the given values in the formula -

​$$v = \frac{100 \times 10}{10 + 10} = \frac{1000}{20} = 50\,\mu\mathrm{mol}/\mathrm{min}$$

So, the correct answer is option a : ​50 µmol/min

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