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Rate constant of a reaction is $0.1 M^{- 1} \min^{- 1}$ If the initial concentration of the reactant is 1M, then rate of reaction after 30 minutes is ____ Mmin^-1

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6.25 × 10^–4

0.025

$6 .25 \times 10^{- 3}$

2.5 × 10^–3

answer is A.

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Detailed Solution

From the units of rate constant it is second order reaction

$t_{0.5} = \frac{1}{k_{2} a} = 10 \min$

30 min = 3 t_0.5

$rate = K_{2} {[A]}^{2}$

$rate = 0.1 {[0.25]}^{2} = 6.25 \times 10^{- 3}$

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