Answer:
Option D
Explanation:
This problem can be solved by determining the order of reaction w.r.t each reactant and then writing rate law equation of the given equation accordingly as
$r=\frac{dC}{dt}=k[A]^{x}[B]^{y}$
where x= order of reaction w.r.t A
y= order of reaction w.r.t B
$1.2\times10^{-3}=k(0.1)^{x}(0.1)^{y}$
$1.2\times10^{-3}=k(0.1)^{x}(0.2)^{y}$
$2.4\times10^{-3}=k(0.2)^{x}(0.1)^{y}$
$R= k[A]^{1}[B]^{0}$
As shown above, rate of reaction remains constant as the concentration of reactant (B) changes from 0.1 M to 0.2 M and becomes double when the concentration of A change from 0.1 to 0.2 B(i.e doubled)