Single Choice Which of the following relation is correct for a first order reaction ? [2o is initial concentration of reactant and a, is concentration of reactant at time t] A 24 = a, e*** D None of these

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( frac{d R}{d t}=-k R ) or ( frac{d a}{d t}=-k a ) ( frac{d a}{a}=-k d t ) ( Rightarrow ln frac{a t}{a dot{0}}=-k t ) ( k t-ln frac{a_{t}}{a_{0}} ) ( k t=ln frac{a_{0}}{a_{t}} ) ( t=frac{1}{k} ln frac{a_{0}}{a_{t}}=frac{2 cdot 303}{t} log _{10}left(frac{a_{0}}{a t}right) )

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