Chemistry - Chemical Kinetics Question with Solution | TestHub

The unit of rate constant $k$ for an $n$-th order reaction is given by $(\text{mol}{\text{L}}^{-1}{)}^{1-n}{\text{s}}^{-1}$.

For zero order reaction ($n=0$):
Unit $=(\text{mol}{\text{L}}^{-1}{)}^{1-0}{\text{s}}^{-1}=\text{mol}{\text{L}}^{-1}{\text{s}}^{-1}$ (Matches A with IV)

For first order reaction ($n=1$):
Unit $=(\text{mol}{\text{L}}^{-1}{)}^{1-1}{\text{s}}^{-1}={\text{s}}^{-1}$ (Matches B with III)

For second order reaction ($n=2$):
Unit $=(\text{mol}{\text{L}}^{-1}{)}^{1-2}{\text{s}}^{-1}={\text{mol}}^{-1}\text{L}{\text{s}}^{-1}$ (Matches C with I)

For third order reaction ($n=3$):
Unit $=(\text{mol}{\text{L}}^{-1}{)}^{1-3}{\text{s}}^{-1}={\text{mol}}^{-2}{\text{L}}^2{\text{s}}^{-1}$ (Matches D with II)

Therefore, the correct matching is A-IV, B-III, C-I, D-II.

Answer: A-IV, B-III, C-I, D-II