Match List I with List II
|
List I |
List II |
| A.Second order reaction | I. \(s^{-1}\) |
| B. Fourth order reaction | II. \(mol^{-2}L^2s^{-1}\) |
| C. First order reaction | III. \(mol^{-1}Ls^{-1}\) |
| D. Third order reaction | IV. \(mol^{-3}L^3s^{-1}\) |
Choose the correct answer from the options given below
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → A-III, B-IV, C-I, D-II
For a reaction of order n, Rate = k[A]n, so
\( \displaystyle k = \frac{\text{Rate}}{[A]^n} = \frac{\text{mol L}^{-1}\,\text{s}^{-1}}{(\text{mol L}^{-1})^n} = (\text{mol L}^{-1})^{1-n}\,\text{s}^{-1} = \text{mol}^{1-n}\,\text{L}^{n-1}\,\text{s}^{-1} \)
A. Second order reaction — This matches III. mol−1Ls−1. n = 2: mol1−2 L2−1 s−1.
B. Fourth order reaction — This matches IV. mol−3L3s−1. n = 4: mol1−4 L4−1 s−1.
C. First order reaction — This matches I. s−1. n = 1: (mol L−1)0 s−1.
D. Third order reaction — This matches II. mol−2L2s−1. n = 3: mol1−3 L3−1 s−1.
Shortcut: C-I (first order, s−1) appears in Options (2) and (4); A-III (second order) leaves only Option (2).