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

Answer

c

Explanation

` A + Bto C`
On doubling the concentration of A rate of reaction increases by 4
. Rate `prop [A]^(2)`
However on doubling the concentration of B, rate of reaction increases two times.
Rate `prop [B]`
Thus, overall order of reaction `= 2 + 1 = 3`