Calculate the overall order of a reaction which has rate expression:
Rate = `k[A]^(1//2)[B]^(3//2)` , (b) Rate = `k[A]^(3//2)[B]^(-1)`.

Explanation

Order of reaction is defined as the sum of the powers to which the concentration terms are raised in the rate law equation to express the observed rate of the reaction. Accordingly,
a) Rate `= k[A]^(1//2)[B]^(3//2)`
Order of reaction `= 1/2 + 3/2 = 2`
b) Rate `= k[A]^(3//2)[B]^(-1)`
Order of reaction `= 3/2-1=1/2`