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Question

Following data are given for the reaction between A and B.

[A]/mol L1[B]/mol L1Initial rate/ mol L1s1 at
300 K
320 K
2.5×1043.0×1055.0×1042.0×103
5.0×1046.0×1054.0×103-
1.0×1036.0×1051.6×102-
The rate constant at 300 K is:

A
2.67×108m2s1
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B
1.08×104m2s1
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C
3.52×109m2s1
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D
4.57×104m2s1
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Solution

The correct option is B 2.67×108m2s1
Let rate= K[A]x[B]y
5×104=K[2.5×104]x[3×105]y......(1)
4×103=K[5×104]x[6×105]y....(2)
1.6×102=K[10×104]x[6×105]y....(3)
From (2) and (3), 14=(12)xx=2
From (1) and (2), 18=(12)2(12)yy=1
Rate=K[A]2[B]
5×104=K(2.5×104)2(3×105)K=2.67×108m2s1

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