COMEDK2023Evening ShiftChemistryChemical KineticsActual
For a reaction of the type, 2 X + Y A + B , the following is the data collected: Experiment [X] [Y] Initial rate of formation of A 1 0.2 0.2 12.0 10⁻³ 2 0.6 0.4 14.4 10⁻² 3 0.6 0.8 5.76 10⁻¹ 4 0.8 0.2 4.8 10⁻² What is the overall order of the reaction?
Options
- A3
- B2
- C2.5
- D1.5
Correct answer
A. 3
Step-by-step solution
The rate law for the reaction is given by Rate = k[X]^a[Y]^b . From experiment 1 and 4: Rate₄ Rate₁ = k(0.8)^a(0.2)^b k(0.2)^a(0.2)^b = 4.8 10⁻² 12.0 10⁻³ (4)^a = 4 a = 1 . From experiment 2 and 3: Rate₃ Rate₂ = k(0.6)^a(0.8)^b k(0.6)^a(0.4)^b = 5.76 10⁻¹ 14.4 10⁻² (2)^b = 4 b = 2 . The overall order of the reaction is a + b = 1 + 2 = 3 . Answer: 3