In a reaction if the concentration of reactant A is tripled, the rate of reaction becomes twenty seven times. What is the order of the reaction?

Suppose reactant A forms the product B. Then the reaction can be written as


A → B


Rate of the reaction is given by


Rate1= k[A]x …………………..i)


x is equal to the order of the reaction.


When A is tripled rate of reaction becomes 27 times that is,


Rate2 = k [3A]x = 27 Rate1 ………………………ii)


Dividing equation i) and ii)


Rate1/ 27Rate1 = k [A]x/ k[3A]x


1/27 = [1/3]x


x = 3


Order of the reaction is 3.




1