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 |
|---|---|---|---|
| 1 | 0.2 | 0.2 | \(12.0 \times 10^{-3}\) |
| 2 | 0.6 | 0.4 | \(14.4 \times 10^{-2}\) |
| 3 | 0.6 | 0.8 | \(5.76 \times 10^{-1}\) |
| 4 | 0.8 | 0.2 | \(4.8 \times 10^{-2}\) |
What is the overall order of the reaction?
- A 3
- B 2
- C 2.5
- D 1.5
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:…
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