In a chemical reaction i.e., A+2 B products, when concentration of A is doubled, rate of the reaction increases 4 times and when concentration of B alone is doubled rate continues to be the same. The order of the reaction is

Step-by-step solution

Let the order of reaction w.r.t. A is x and w.r.t. B is y . r₁=k[A]^ x [B]^ y ...(i) r₂=k[2 A]^ x [B]^ y ...(ii) r₃=k[A]^ x [2 B]^ y ...(iii) aligned r₁ r₂ &= k[A]^ x [B]^ y k[2 A]^ x [B]^ y 1 4 = ( 1 2 )^ x ( 1 2 )² &= ( 1 2 )^ x x &=2 aligned Similarly, aligned & r₁ r₃ = k[A]^ x [B]^ y k[A]^ x [2 B]^ y 1= ( 1 2 )^ y ( 1 2 )⁰ &= ( 1 2 )^ y y &=0 aligned Hence, the rate of equation is Rate =k[A]²[B]⁰ Order of reaction =2