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