Q118 / 240 · KCET 2026 · Chemistry

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

  • A
    a-i, b-ii, c-iii, d–iv
  • B
    a-ii, b-i, c-iii, d–iv
  • Correct answer
    C
    a-ii, b-i, c-iv, d–iii
  • D
    a-i, b-ii, c-iv, d–iii

Solution

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

Hence, the correct answer is option: 'C'.

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