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For a second order reaction, 2 A → Products, a plot of log t 1 / 2 vs log a (where, 'a' is initial concentration) will give an intercept equal to which one of the following?

Options

  1. A1 k
  2. Blog ⁡ 1 2 k
  3. Clog ⁡ 1 k
  4. Dlog ⁡ k

Correct answer

D. log ⁡ k

Step-by-step solution

Kinetic equation for second order reaction is k = 1 t 1 ( a - x ) - 1 a when x = a 2 t = t 1 / 2 So t 1 / 2 = 1 k × 1 a log ⁡ t 1 / 2 = - log ⁡ k - log ⁡ a Here intercept = log k

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