Question

Predict the rate law of the following reaction based on the data given below: 

2A + B → C + 3D

Reaction number	[A](min)	[B](min)	Initial rate (Ms-1)
1	0.1	0.1	x
2	0.2	0.1	2x
3	0.1	0.2	4x
4	0.2	0.2	8x

(a) rate = k [A]² [B] 

(b) rate = k [A][B]²

(c) rate = k [A][B] 

(d) rate = k [A]^1/2 [B]^3/2

Answer 1

(b) rate = k [A][B]²

rate₁ = k [0.1]ⁿ[0.1]^m ……………(1)

rate₂ = k [0.2]ⁿ[0.1]^m …………(2) 

Dividing Eq.(2) by Eq.(1)

\(\frac{2x}{x}\) = 2ⁿ

∴ n = 1

ate₃ = k [0.1]ⁿ[0.2]^m ……………(1)

rate₄ = k [0.2]ⁿ[0.2]^m …………(2)

Dividing Eq.(4) by Eq.(2)

 

\(\frac{8}{2}\) = 2^m 

∴m = 1 

∴ rate = k [A]¹[B]²