Consider the following reaction; A + B → C

What is the order of reaction with respect to A and B?

2,0

r = k[A]^x[B]^y 

2.1 x 10^-3 = k[0.1]^x[1]^y          ......(i)

8.4 x 10^-3 = k[0.2]^x[1]^y          ......(ii)

8.4 x 10^-3 = k[0.2]^x[2]^y          ......(iii)

Dividing equation (ii) by (i)

\(\frac{8.4 × 10^{-3}}{2.1 × 10^{-3}}\) = \(\frac{k[0.2]^x[1]^y}{k[0.1]^x[1]^y}\)

4 = 2^x 

2² = 2^x 

x = 2

Dividing equation (iii) by (ii)

\(\frac{8.4 × 10^{-3}}{8.4 × 10^{-3}}\) = \(\frac{k[0.2]^x[2]^y}{k[0.2]^x[1]^y}\)

1 = 2^y 

2⁰ = 2^y 

y = 0

r = k[A]²[B]⁰