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Question

For a process A+B products, the rate is first order with respect to A and first order with respect to B. When 1.0 mole each of A and B are taken in a one litre vessel, the initial rate is 1×102 molL1s1 . The rate of the reaction when 90% of the reactants have been converted into products would be:

A
1×101 molL1s1
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B
1×104 molL1s1
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C
1×103 molL1s1
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D
1×105 molL1s1
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Solution

The correct option is B 1×104 molL1s1
The rate law expression is r=k[A][B].
The initial rate is 1×102molL1s1.
Hence, 1×102molL1s1=k[1][1].
k=1×102molL1s1.
90% reactants are converted into products.
[A]=0.1molL1s1and[B]=0.1molL1.
=k[A][B]=1×102(0.1)(0.1)=1×104molL1s1.

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