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Question

# For a reaction, A+B⟶C+D, if the concentration of A is doubled without altering the concentration of B, the rate gets doubled. If the concentration of B is increased by nine times without altering the concentration of A, the rate gets tripled. The order of the reaction is:

A
2
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B
1
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C
3/2
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D
4/3
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Solution

## The correct option is C 3/2Rate =k[A]α[B]β ...(i)2× rate =k[2A]α[B]β ....(ii)3× rate =k[A]α[9B]β ...(iii)From equations (i) and (ii), α=1From equations (i) and (iii), β=1/2Order =α+β=1+12=32

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