Match List-I (Laws) with the List-II (Mathematical expressions):

List-I		List-II
(a)	Henry's law	(i)	\(p_1 = p_1^0 x_1\)
(b)	Raoult's law	(ii)	\(p = K_H \chi\)
(c)	First law of thermodynamics	(iii)	\(\Lambda_m = v_+ \lambda_+ + v_- \lambda_-\)
(d)	Kohlrausch's law	(iv)	\(\Delta U = q + w\)

Codes:

Henry's law relates the partial pressure of a gas to its mole fraction in solution: \(p = K_H \chi\). Thus, (a) matches (ii).

Raoult's law states that the partial vapour pressure of a component in a solution is proportional to its mole fraction: \(p_1 = p_1^0 x_1\). Thus, (b) matches (i).

The first law of thermodynamics is the law of conservation of energy, expressed as \(\Delta U = q + w\). Thus, (c) matches (iv).

Kohlrausch's law of independent migration of ions gives the limiting molar conductivity of an electrolyte as the sum of the limiting ionic conductivities: \(\Lambda_m = v_+ \lambda_+ + v_- \lambda_-\). Thus, (d) matches (iii).

The correct matching is a-ii, b-i, c-iv, d-iii.

Answer: a-ii, b-i, c-iv, d–iii