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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 (molL1S1)

0.1M

0.1M

1.2×103

0.1M

0.2M

1.2×103

0.2M

0.1M

2.4×103


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 B

dcdt=k[A]


(i) R=k[A]x[B]y

1.2x103=k[0.1]x[0.1]y …(i)

1.2x103=k[0.1]x[0.2]y …(ii)

Divide Eq. (ii) by Eq. (i)

1=(2)y

(2)0=(2)yy=0

(ii) 1.2x103=k[0.1]x[0.1]y

= k[0.1]x(y=0) …(iii)

2.4x103=k[0.2]x[0.1]0 …(iv)

Divide Eq. (iv) by Eq. (iii)

(2)1=(2)xx=1.

R = k[A]

Hence answer (b) is correct.

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