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The rate constant of the reaction A → B is 0.6 × 10⁻³ mol per sec. If the concentration of A is 5 M then concentration of B after 20 minutes is :

  1. 1.08 M
  2. 3.60 M
  3. 0.36 M
  4. 0.72 M

Correct answer: 0.72 M

Solution

The reaction follows first-order kinetics. Using the integrated rate law for first-order reactions, the concentration of B can be calculated as: [B] = [A]₀(1 - e^(-kt)). Substituting k = 0.6 × 10⁻³ s⁻¹, [A]₀ = 5 M, and t = 20 × 60 s, we get [B] ≈ 0.72 M.

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