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JEE Main202228 Jul 2022Morning ShiftChemistryChemical KineticsActual

For the given first order reaction A → B the half life of the reaction is 0 . 3010 min . The ratio of the initial concentration of reactant to the concentration of reactant at time 2 . 0 min will be equal to _____. (Nearest integer)

Correct answer

0

Step-by-step solution

Given A → B is a first order reaction and t 1 2 = 0 . 3010   min A o A t at time 2   min = ? We know the integrated rate equation for first order reaction K = 2 . 303 t log A 0   A t ⇒ 0 · 693 t 1 2 = 2 · 303 t log A 0   A t ⇒ 0 · 693 0 . 3010   min = 2 · 303 2   min log A 0   A t log A 0 A t = 2 ∴   A 0   A t = 10 2 = 100

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