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For the reaction 2A -> products with rate = k[A], the rate is 2 x 10<sup>-3</sup> M/s when [A] = 0.5 M. The rate constant k is:

Answer: 4 x 10 -3 s -1.

  • A 1 x 10<sup>-3</sup> s<sup>-1</sup>
  • B 2 x 10<sup>-3</sup> s<sup>-1</sup>
  • C 8 x 10<sup>-3</sup> s<sup>-1</sup>
  • D 4 x 10<sup>-3</sup> s<sup>-1</sup>

Correct answer: D. 4 x 10<sup>-3</sup> s<sup>-1</sup>

Explanation: k = rate/[A] = (2 x 10<sup>-3</sup>)/0.5 = 4 x 10<sup>-3</sup> s<sup>-1</sup> (first order, so unit is s<sup>-1</sup>).

First-Order Decay: Constant Half-Lifetime[A][A]₀[A]₀/22 × t½[A]₀/4Each successive half-life takes the SAME amount of time, regardless of starting concentration

First-order decay curve: concentration halves every t½, and that half-life is constant - a defining test for first-order kinetics.

Concept context

Study the speed of reactions and what affects it: concentration, temperature, and catalysts. Covers rate law, order of reaction, the Arrhenius equation, and reaction mechanisms step by step.

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