Q85 · CSIR-NET Chemistry, December 2014

Paper: CSIR-NET December 2014 · Subject: Physical Chemistry · Chapter: Chemical Kinetics · Topic: Enzyme Kinetics · Marks: 2 · Difficulty: Medium

For an enzyme-substrate reaction, a plot between $1 / \mathrm{v}$ and $1 /\left[\mathrm{S}_{0}\right]$ yields a slope of 40 s . If the enzyme concentration is $2.5 \mu \mathrm{M}$, then the catalytic efficiency of the enzyme is
(a)$40 \mathrm{Lmol}^{-1} \mathrm{s}^{-1}$
(b)$10^{-4} \mathrm{Lmol}^{-1} \mathrm{s}^{-1}$
(c)$10^{7} \mathrm{Lmol}^{-1} \mathrm{s}^{-1}$
(d)$10^{4} \mathrm{Lmol}^{-1} \mathrm{s}^{-1}$
Answer
Answer: D ✓ checked by 4AB · confidence high

The source book printed no answer; this one was worked out and checked — see the explanation.

Explanation
Slope = K_M/V_max = 40 s. Catalytic efficiency k_cat/K_M = V_max/([E]₀K_M) = 1/(slope × [E]₀) = 1/(40 × 2.5×10⁻⁶) = 10⁴ L mol⁻¹ s⁻¹.

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