Rate expression for two reaction are : (a) `"rate"_(a) = k_(a)[A]` and (b) `"rate"_(b) = k_(b) [B]^(2)` . When [A] = [B] `= 1 mol l^(-1) , k_(a) = k_(b) mol L^(-1)`. If [A] = [B] = 2 mol `L^(-1)` , write the relation between `"rate"_(a) ` and `"rate"_(b)` .

Explanation

`"Rate"_(a) = k_(b) [2mol L^(-1)]`
`"Rate"_(b) = k_(b) [ 2 mol L^(-1)]^(2) = k_(b) [2 mol L^(-1) ]^(2)`
The ratio of the rates of two reactions (a) and (b) is given as ,
`("Rate"_(a))/("Rate"_(b)) = (k_(a)[2 mol L^(-1)])/(k_(a)[2mol L^(-1)]) = (1)/(2)`
The ratio of the rates = 1 :2.