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Question

From the following data answer the questions:
Reaction: A + B P

[A]M[B]MInitial rateM sec1
300 K400 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 order w.r.t A is:

A
1
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B
2
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C
3
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D
-1
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Solution

The correct option is A 2
The rate law expression is R=k[A]m[B]n
For experiment (1), 5×104=k[2.5×104]m[3×105]n

For experiment (2), 4×103=k[5×104]m[6×105]n......(1)

For experiment (3) 1.6×102=k[1×103]m[6×105]n......(2)

Divide equation (2) with equation (1)
1.6×1024×103=k[1×103]m[6×105]nk[5×104]m[6×105]n
Hence, m=2

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