Question

for reaction a+2b------>product. the rate of reaction is increased by 2.82 times. when the concentration of a is doubled and rate of reaction is increased by 9 times. when concentration of b was tripled. what is the order of reaction with respect to a and b.​

Answer 1

A+2B→C

r1=k[A]x[B]y …(i)

r2=2.82r1=k[2A]x[B]y …(ii)

r3=9r1=[A]x[3B]y …(iii)

Divide Eq. (ii) by Eq. (i),

2.82r1r1=k[2A]x[B]yk[A]x[B]y

2.82=(2)x⇒(2)3/2=(2)x⇒x=3/2

Divide Eq. (iii) by Eq. (i),

9r1r1=k[A]x[3B]yk[A]x[B]y

9=(3)y⇒(3)2=(3)y⇒y=2

Order w.r.t. B=2 , order w.r.t. A=3/2

Total order =2+32=72

Note: 1/ If rate increases by 2.82 times, order is 3/2.

2. If rate increases by 5.6 times, order is 5/2.

I hope this will help you