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Question

For a given reaction of nth order :
AProducts
When the inital concentration i.e. [A]0 was 0.96 M, the half life was found out to be 4 min. On changing the initial concentration (at constant temperature) to 0.64 M, half life period changes to 9 min.
The overall order of the reaction is:

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Solution

AProducts
t1/2=1k(n1)[2n11[A]n10]
Since the temperature remains constant, only thing that changes is the initial concentration.
t1/21[A]n10
Case 1:
41(0.96)n1
Case 2:
91(0.64)n1
Dividing both equations
49=(0.640.96)n1
(23)2=(23)n1
n1=2n=3
hence it is a thord order reaction.

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