Following data is for a reaction between reactants A and B : The order of the reaction with respect to A and B , respectively, are

Step-by-step solution

Let the rate equation is Rate = k [ A ]^ x [ B ]^ y Therefore, we can write 2 10⁻³=k[0.1] [0.1 ^y . ...(i) 4 10⁻³=k[0.2]^x[0.1]^y ...(ii) 1.6 10⁻²= k [0.2]^ [0.2]^ y ...(iii) (ii) (i); 4 10⁻³ 2 10⁻³ = k[0.2]^x[0.1]^y k[0.1]^x[0.1]^y 2 1 = (0.2)^x (0.1)^x = ( 2 1 )^x x=1 (ii) (iii); 4 10⁻³ 1.6 10⁻² = k[0.2]^ x [0.1]^y k [0.2]^ x [0.2]^ y 1 4 = (0.1)^y (0.2)^y = ( 1 2 )^y y=2 Rate =k[A]^1[B]^2 First order with respect to A while second order with respect to B .