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Q.In reaction A -> B, the rate of reaction is doubled, on increasing the concentration of the reactants four times. The order of the reaction is

(a) zero
(b) 1/2
(c) 2
(d) 4
Uttar Pradesh UpmspUP Board (UPMSP) Intermediate 2019MCQ· 1mImportance★★★★★
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Rate = k[A]^n; making [A] four times doubles the rate, so 4^n = 2, giving n = 1/2, option (b).

Let the rate law be rate = k[A]^n.

Initially: rate1 = k[A]^n.

When the concentration is made four times: rate2 = k(4[A])^n = k x 4^n x [A]^n.

Given that the rate only doubles, rate2 = 2 x rate1:

k x 4^n x [A]^n = 2 x k[A]^n …

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