Rate of first order reaction A product is 0.01 mol dm^ -3 s^ -1 , calculate rate constant if concentration of reactant is 0.2 M?

MHT CET 2022 Chemistry question

Rate of first order reaction A product is 0.01 mol dm s, calculate rate constant if concentration of reactant is 0.2 M?

(A)0.05 secCorrect
(B)0.1 sec
(C)0.5 sec
(D)0.01 sec

Answer: (A)

Solution

For a first-order reaction, Rate , so k = \dfrac{Rate}{[A]} = \dfrac{0.01\ \mathrm{mol\,dm^{-3}\,s^{-1}}}{0.2\ \mathrm{mol\,dm^{-3}}} = 0.05\ \mathrm{s^{-1}}. Hence option (A).

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Question ID VK-094153