For a reaction having rate law expression :
Rate `= k[A]^(3//2) [B]^(-1//2)`
If the concentration of both A and B become four times the rate of reaction

Options

A. become four times
B. becomes 16 times
C. decreases four times
D. reamains same .

Answer

A

Explanation

(A) `r_(1)=k (a)^(3//2)(b)^(-1//2)`
`r_(2) = k (4a)^(3//2)(4b)^(-1//2)`
`(r_(2))/(r_(1))=(4)^(3//2)(4)^(-1//2)=4 ` .