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For a reaction A → 2 B + C the half lives are 100   s and 50   s when the concentration of reactant A is 0 . 5 and 1 . 0   mol   L = respectively. The order of the reaction is

Correct answer

2

Step-by-step solution

The relation between half-life and initial concentration of n th order reaction can be written as follows, t 1 2 ∝ 1 A 0 n - 1 100 ∝ 1 0 . 5 n - 1 50 ∝ 1 1 n - 1 2 1 = 1 0 . 5 n - 1 2 1 = 2 n - 1 n - 1 = 1 n = 2 order = 2 For the second order reactions half-life is inversely proportional to initial concentration.

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