Concept:Match each law with its correct mathematical expression based on standard definitions.
Explanation:Henry's law states that the partial pressure of a gas is directly proportional to its mole fraction in the solution.
Therefore,
p=KHχ.
So (a) matches with (ii).
Raoult's law states that the partial vapour pressure of a volatile component equals the product of its mole fraction and the vapour pressure in the pure state.
Therefore,
p1=p10x1.
So (b) matches with (i).
The first law of thermodynamics is based on the conservation of energy.
Its mathematical form is
ΔU=q+w.
So (c) matches with (iv).
Kohlrausch's law states that at infinite dilution, the molar conductivity of an electrolyte is the sum of the contributions of its individual ions.
Therefore,
Λm=v+λ++v−λ−.
So (d) matches with (iii).
Answer:The correct matching is (a)-(ii), (b)-(i), (c)-(iv), (d)-(iii).
Hence, the correct option is Option C.