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Chemistry-Rate of Reaction

NEET Chemistry Rate of Reaction MCQ Question

Type: MCQ-numerical-Hard-Class 12

For a reaction where the rate of disappearance of reactant A is expressed as −1ad[A]dt-\frac{1}{a} \frac{d[A]}{dt}, and the rate of appearance of product B is expressed as 1bd[B]dt\frac{1}{b} \frac{d[B]}{dt}, if the stoichiometric coefficients are a=3a = 3 and b=2b = 2, which of the following correctly relates the rates of disappearance of A and appearance of B?

A

−13d[A]dt=12d[B]dt-\frac{1}{3} \frac{d[A]}{dt} = \frac{1}{2} \frac{d[B]}{dt}

B

−13d[A]dt=3d[B]dt-\frac{1}{3} \frac{d[A]}{dt} = 3 \frac{d[B]}{dt}

C

−13d[A]dt=1.5d[B]dt-\frac{1}{3} \frac{d[A]}{dt} = 1.5 \frac{d[B]}{dt}

D

−13d[A]dt=2d[B]dt-\frac{1}{3} \frac{d[A]}{dt} = 2 \frac{d[B]}{dt}

Correct Answer

Option C

Detailed Explanation

The rate of reaction must satisfy the stoichiometric relationship between reactants and products. Thus, −13d[A]dt-\frac{1}{3} \frac{d[A]}{dt} should equal 1.5d[B]dt1.5 \frac{d[B]}{dt} because the rate of appearance of B is 1.5 times the rate of disappearance of A.

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