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Question
The following are the data for the reaction
A+B→ products
[A] [B] Initial rate (molL−1s−1)
(i) 0.1 M 0.1 M 4.0×10−4
(ii) 0.2 M 0.2 M 1.6×10−3
(iii) 0.5 M 0.1 M 1.0×10−2
(iv) 0.5 M 0.5 M 1.0×10−2
The rate constant of the reaction is _________ .
A+B→ products
[A] [B] Initial rate (molL−1s−1)
(i) 0.1 M 0.1 M 4.0×10−4
(ii) 0.2 M 0.2 M 1.6×10−3
(iii) 0.5 M 0.1 M 1.0×10−2
(iv) 0.5 M 0.5 M 1.0×10−2
(i) 0.1 M 0.1 M 4.0×10−4
(ii) 0.2 M 0.2 M 1.6×10−3
(iii) 0.5 M 0.1 M 1.0×10−2
(iv) 0.5 M 0.5 M 1.0×10−2
The rate constant of the reaction is _________ .
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Solution
The correct option is D 4.0×10−2
Form the data it can be observed that when the concentration of A is kept same and the concentration of B is changed, the rate of the reaction is same. The reaction is of zero-order in B.
When the concentration of A is increased five times, the rate of the reaction increases by 25 times. The reaction is of second order in A.
The expression for the rate constant is k=r[A]2[B]0.
Substitute values in the above expression.
k=4.0×10−4(0.1)2(0.1)0=4.0×10−2Lmol−1s−1.
Form the data it can be observed that when the concentration of A is kept same and the concentration of B is changed, the rate of the reaction is same. The reaction is of zero-order in B.
When the concentration of A is increased five times, the rate of the reaction increases by 25 times. The reaction is of second order in A.
The expression for the rate constant is k=r[A]2[B]0.
Substitute values in the above expression.
k=4.0×10−4(0.1)2(0.1)0=4.0×10−2Lmol−1s−1.
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