ExamBro
ExamBro
COMEDK · Chemistry · 19. Chemical Kinetics

For a reaction of the type, \(2 \mathrm{X}+\mathrm{Y} \rightarrow \mathrm{A}+\mathrm{B}\), the following is the data collected:

Experiment[X][Y]Initial rate of formation of A
10.20.2\(12.0 \times 10^{-3}\)
20.60.4\(14.4 \times 10^{-2}\)
30.60.8\(5.76 \times 10^{-1}\)
40.80.2\(4.8 \times 10^{-2}\)

What is the overall order of the reaction?

  1. A 3
  2. B 2
  3. C 2.5
  4. D 1.5
Verified Solution

Answer & Solution

Correct Answer

(A) 3

Step-by-step Solution

Detailed explanation

The rate law for the reaction is given by \(Rate = k[X]^a[Y]^b\). From experiment 1 and 4: \(\dfrac{Rate_4}{Rate_1} = \dfrac{k(0.8)^a(0.2)^b}{k(0.2)^a(0.2)^b} = \dfrac{4.8 \times 10^{-2}}{12.0 \times 10^{-3}}\) \((4)^a = 4 \Rightarrow a = 1\). From experiment 2 and 3:…