For the non-stoichiometric reaction, 2A+B→C+D, the following kinetic data were obtained in three separate experiments, all at 298 K. The rate law for the formation of C is

Rate law equation is given by dcdt=k[A]x[B]y∴ dcdt for C at various concentration are 1.2×10−3=k(0.1)x(0.1)y .....(i)1.2×10−3=k(0.1)x(0.2)y .....(ii)2.4×10−3=k(0.2)x(0.1)y .....(iii)Solving for x [divide Eq. (iii) by Eq. (i)]2.4×10−31.2×10−3=k(0.2)x(0.1)yk(0.1)x(0.1)y2=(2)x⇒x=1Solving for y [divide Eq. (iii) by Eq. (i)]2.4×10−31.2×10−3=k(0.2)x(0.1)yk(0.1)x(0.1)y 2=(2)x(0.10.2)y 1=(0.5)y (1)0=(0.5)y⇒ y=0Thus, dcdt=k[A]1[B]0⇒ dcdt=k[A]1