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Chemical Kinetics

Question
CBSEENCH12006149

For the reaction A B, the rate of reaction becomes twenty seven times when the concentration of A is increased three times.
What is the order of the reaction?

Solution

r= k[A]n =Kan
When concentration is increased three time [ A] =3a 
therefore,

27rr = K[3a]nKan Or  27 = 3nn33 =3nn=3

Order = 3.