For the reaction `A + Brarr C +D`, if concentratiton of A is doubled without altering the concentration of B, the rate gets doubling, If the concentration of B is increased by nine times without altering the concentration of A, the rate gas tripled. The order of reaction is

Options

A. 2
B. 1
C. `3//2`
D. `4//3`

Explanation

Rate = `k[A]^(alpha)[B](beta)" " (i)`
`2xx"rate" k[2A]^(alpha)[B](beta)" " (ii)`
`3xx"rate"= k[A]^(alpha)[9B](beta)" " (iii)`
From eqs. (i) and (ii), `alpha=1`
From eqs. (i) and (iii) ,`beta=1//2`
Order `=alpha+beta=1(1)/(2)=(3)/(2)`