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NEET CHEMISTRYChemical KineticsMedium

Question

In a reaction, A+BProductA + B \rightarrow \text{Product}, the rate is doubled when the concentration of BB is doubled, and the rate increases by a factor of 88 when the concentrations of both the reactants (AA and BB) are doubled. The rate law for the reaction can be written as:

A

Rate=k[A][B]2\text{Rate} = k[A][B]^2

B

Rate=k[A]2[B]2\text{Rate} = k[A]^2[B]^2

C

Rate=k[A][B]\text{Rate} = k[A][B]

D

Rate=k[A]2[B]\text{Rate} = k[A]^2[B]

Step-by-Step Solution

Let the rate law be expressed as: Rate=k[A]x[B]y\text{Rate} = k[A]^x[B]^y

According to the first condition, when the concentration of BB is doubled, the rate is doubled: 2×Rate=k[A]x(2[B])y2 \times \text{Rate} = k[A]^x(2[B])^y Dividing this by the initial rate equation gives: 2=2y    y=12 = 2^y \implies y = 1

According to the second condition, when the concentrations of both AA and BB are doubled, the rate increases by a factor of 8: 8×Rate=k(2[A])x(2[B])y8 \times \text{Rate} = k(2[A])^x(2[B])^y Dividing this by the initial rate equation gives: 8=2x×2y8 = 2^x \times 2^y Substituting the value of y=1y = 1: 8=2x×21    2x=4    x=28 = 2^x \times 2^1 \implies 2^x = 4 \implies x = 2

Therefore, the overall rate law for the reaction is Rate=k[A]2[B]1=k[A]2[B]\text{Rate} = k[A]^2[B]^1 = k[A]^2[B].

Exam Context & Concepts Covered

This question aligns with the NEET CHEMISTRY syllabus, specifically targeting concepts from Chemical Kinetics. Mastering this topic is crucial for scoring well in the upcoming medical entrance examinations. Solving conceptually related problems will help you understand the nuances of these concepts and improve your problem-solving speed.

CHEMISTRYChemical Kineticsreactionrightarrowtextproductdoubledconcentration

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