For the reaction `2X to X_2`, the rate of reaction becomes three times when the concentration of X is increased 27 times. What is the order of the reaction?

Explanation

`r_1 =k [X]^n, r_2 =k [27X]^n`
` (r_2 )/(r_1) = 3- ((27X)^n)/( [X]^n)` = ( 27)^n`
or ` n=1/3` or order of reaction ` =1/3`