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    ​The enzyme alkaline phosphatase was tested for its catalytic activity using the substrate para-nitrophenylphosphate. The  KMK_MKM​ obt
    Question

    The enzyme alkaline phosphatase was tested for its catalytic activity using the substrate para-nitrophenylphosphate. The  KMK_M obtained was 10 mM and VmaxV_{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?

    A.

    50 µmol/min

    B.

    100 µmol/min

    C.

    500 µmol/min

    D.

    20 µmol/min

    Correct option is A

    Explanation-

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

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

    By putting the given values in the formula -

    v=100×1010+10=100020=50 μmol/minv = \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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