For the reaction `A + B rarr P`, the rate is given by Rate `= K [A]^(1) [B]^(2)`. By how many times does the rate of reaction increase when concentrations of A & B are doubled? 

Explanation

`K_(1)=[A]^(1)[B]^(2)"   "rarr(1)`
`K_(2)=[2A]^(1)[2D]^(2)`
`K_(2)=[2A]4[D]^(2)`
`K_(2)=8[A]^(1)[D]^(2)`
`(K_(2))/(K_(1))=(8cancel([A]^(1)[D]^(2)))/(cancel([A]^(1)[D]^(2)))`
`K_(2)=8K_(1)`
The rate of reaction increase 8 times when concentration of A and B are doubled.