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

Options

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

Answer

C

Explanation

Rate =`k[A]^(alpha)[B]^(beta)` ..(i) 2x rate =`k[2A]^(alpha)[B]^(beta)`
From eqs(i) and (ii) `alpha=1` from eqs (i) and (iii) `beta=1//2`
order =`alpha+beta=1+1/2=3/2`