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ExamsNEETChemistry

The rate of a first order reaction is 1.5 × 10⁻² mol L⁻¹ min⁻¹ at 0.5 M concentration of the reactant. The half-life of the reaction is

  1. 0.383 min
  2. 23.1 min
  3. 6.73 min
  4. 1.53 min

Correct answer: 6.73 min

Solution

For a first-order reaction, rate = k[A]. Here, k = rate/[A] = (1.5 × 10⁻²)/(0.5) = 3 × 10⁻² min⁻¹. The half-life (t₁/₂) for a first-order reaction is 0.693/k. Substituting k = 3 × 10⁻², t₁/₂ = 0.693/(3 × 10⁻²) = 23.1 min.

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