JEE Chemistry · Medium

Chemical Kinetics: First-order integrated law MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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First-order integrated lawMediumQuestion 720006

Question

For a first-order reaction, [A] = [A]₀e^(−kt). If k = 0.1 s⁻¹, time for [A] to reduce to [A]₀/10 is:
  1. A
    23.03 s
    Correct
  2. B
    10 s
  3. C
    6.93 s
  4. D
    100 s

Correct answer

23.03 s

Explanation

ln([A]₀/[A]) = kt → ln(10) = 0.1t → t = 2.303/0.1 = 23.03 s.