The rate of a first-order reaction is 0.04 m o l l - 1 s - 1 at 10 second and 0.03 m o l l - 1 s - 1 at 20 seconds after initiation of the reaction. The half-life period of the reaction is:NEET 2016 (

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The rate of a first-order reaction is 0.04 m o l l - 1 s - 1 at 10 second and 0.03 m o l l - 1 s - 1 at 20 seconds after initiation of the reaction. The half-life period of the reaction is:NEET 2016 (Phase 1)

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R a t e T i m e 0.04 10 0.03 20 For first order reaction r ∝ conc. r 1 r 2 = C 1 C 2 = 4 3 ∴ k = 2.303 t 2 - t 1 log ⁡ C 1 C 2 ⇒ 0.693 t 1 / 2 = 2.303 20 - 10 log ⁡ 4 3 On solving t 1 / 2 = 24.1 s

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