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Question

The following data pertain to reaction between A and B.
S.No[A][B]Rate(mol.L1)(mol.L1)(mol.L1sec1)I1×1022×1022×104II2×1022×1024×104III2×1024×1028×104

Which of the following inference(s) can be drawn from the above data and select the correct answer codes.
(a) Rate constant of the reaction is 104.
(b) Rate law expression for the reaction is k[A][B].
(c) Rate of reaction increases four times on doubling the concentration of both the reactant.

A
a, b and c
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B
a and b
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C
b and c
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D
c alone
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Solution

The correct option is C b and c
Let, the rate of reaction be r=k[A]a[B]b
r1=k[102]a[2×102]b=2×104...(1)
r2=k[2×102]a[2×102]b=4×104...(2)
r3=k[2×102]a[4×102]b=8×104...(3)
Dividing equation (2) by (1), we get
2a=2
a=1
Again dividing the equation (3) by (2), we get
2b=2
b=1
Rate law expression is r=k[A][B]
We have
r1=k[102][2×102]=2×104
k=1
Comparing equation (1) and (3), we came to know that the rate increases by four times when concentration of both the reactants are doubled.

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