Match List I with List II :

List I (Order of reaction)	List II (Unit of rate constant)
(A) Zero order	(I) \(mol ^{-1} Ls ^{-1}\)
(B) First order	(II) \(mol ^{-2} L^2 s^{-1}\)
(C) Second order	(III) \(s ^{-1}\)
(D) Third order	(IV) \(mol L ^{-1} s^{-1}\)

Choose the correct answer from the options given below:

(B) A-IV, B-III, C-I, D-II
The unit of rate constant \(k\) for an \(n\)-th order reaction is given by \(\left( mol L ^{- 1 }\right)^{ 1 - n } s ^{- 1 }\).
For zero order reaction ( \(n =0\) ):
\(\text { Unit }=\left(mol L^{-1}\right)^{1-0} s^{-1}=mol L^{-1} s^{-1} \text { (Matches A with IV) }\)
For first order reaction ( \(n = 1\) ):
\(\text { Unit }=\left(mol L^{-1}\right)^{1-1} s^{-1}=s^{-1} \text { (Matches B with III) }\)
For second order reaction ( \(n=2\) ):
\(\text { Unit }=\left(mol L^{-1}\right)^{1-2} s^{-1}=mol^{-1} L s^{-1} \text { (Matches C with I) }\)
For third order reaction \((n=3)\) :
\(\text { Unit }=\left(mol L^{-1}\right)^{1-3} s^{-1}=mol^{-2} L^2 s^{-1} \text { (Matches D with II) }\)
Therefore, the correct matching is A-IV, B-III, C-I, D-II.