If the rate constant of a reaction is 0.03 ~s ^ -1 , how much time does it take for 7.2 ~mol ~L ^ -1 concentration of the reactant to get reduced to 0.9 ~mol ~L ^ -1 ? (Given : 2=0.301 )

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Correct answer: A. 69.3 s

aligned & K =0.03 ~s ^ -1 (First order reaction) \ & A _0=7.2 ~mol ~L ^ -1 \ & ~A _ t =0.9 ~mol ~L ^ -1 \ & 7.2 t _ 1 / 2 3.6 t _ 1 / 2 1.8 t _ 1 / 2 0.9 \ & t =3 t _ 1 / 2 = 3 0.693 0.03 =69.3 ~s aligned

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