Question

For the non-stoichiometric reaction 2A + B ⟶ C + D. The following kinetic data were obtained in three separate experiments, all at 298 K. Initial concentration (A) Initial concentration (B) Initial rate of formation of C (molL1S−1) 0.1M 0.1M 1.2×10−3 0.1M 0.2M 1.2×10−3 0.2M 0.1M 2.4×10−3 The rate law for the formation of C is : (IIT-JEE-2014)

A

dcdt=k[A][B]2

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B

dcdt=k[A]

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C
dcdt=k[A][B]
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D
dcdt=k[A]2[B]
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Solution

The correct option is A dcdt=k[A](i) R=k[A]x[B]y 1.2x10−3=k[0.1]x[0.1]y …(i) 1.2x10−3=k[0.1]x[0.2]y …(ii) Divide Eq. (ii) by Eq. (i) 1=(2)y ∴ (2)0=(2)y∴y=0 (ii) 1.2x10−3=k[0.1]x[0.1]y = k[0.1]x(∵y=0) …(iii) 2.4x10−3=k[0.2]x[0.1]0 …(iv) Divide Eq. (iv) by Eq. (iii) (2)1=(2)x∴x=1. R = k[A] Hence answer (a) is correct.

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