For the raction `A+Brarr` products, it is found that order of A is 2 and the order of B is 3. In the rate expression when the concentration of both A and B are doubled the rate will increases by a factor

Options

A. 12
B. 16
C. 32
D. 10

Answer

C

Explanation

Given `"Rate"_(1st)=K[A]^(2)[B]^(3)`
`"Rate"_(2nd)=K[2A]^(2)[2B]^(3)`
On Dividing equation (i) and (ii) we get
`("Rate"_(1st))/("Rate"_(2nd))=(K[A]^(2)[B]^(3))/(K4[A]^(2)8[B]^(3))=(1)/(32)`
`:. "Rate"_(2nd)=32xx"Rate"_(1st)`.