a P+b Q products, when [P] is doubled keeping [Q] constant and rate increases 2 times, when [P] is constant and [Q] is doubled and rate increases four times. The overall order is

Step-by-step solution

For a reaction, a P+b Q Products r=k[P]^ a [Q]^ b ...(i) 2 r=k[2 P]^ a [Q]^ b ...(ii) 4 r=k[P]^ a [2 Q]^ b ...(iii) On dividing Eqs. (ii) by (i), we get 2=2^ a a=1 On dividing Eqs. (iii) by (i), we get 4=2^ b b=2 Overall order =a+b=1+2=3 .