Rate of a reaction can be expressed by following rate expression, Rate =`K[A]^(2)[B]`, if conentration of A is incereased by 3 times and concentration of B is incereased by 2 times, how many times rate of reaction increses?

Options

A. 9 times
B. 27 times
C. 18 times
D. 8 times

Answer

C

Explanation

Given, `R_(1)=K[A]^(2)[B]`
According to question , `R_(2) R_(2)=k[3A]^(2)[2B]`
=`kxx9[A]^(2) 2[B]`
= `18xxk[A]^(2)[B]=18R_(1)`