Which law states that the partial pressure of a gas in vapour phase varies…

2025

Which law states that the partial pressure of a gas in vapour phase varies

directly with its mole fraction in the solution?

  1. A.

    Boyle’s law

  2. B.

    Henry's law

  3. C.

    Charles's law

  4. D.

    Raoult’s law

Show answer & explanation

Correct answer: B

Concept

Henry’s law describes how a gas dissolves in a liquid: for a dilute solution, the partial pressure of the gas in the vapour phase above the solution is directly proportional to the mole fraction of that gas dissolved in the solution, p = K_H × x, where K_H (the Henry’s law constant) depends on the gas-solvent pair and the temperature.

Application

The stem describes exactly this relationship — partial pressure of a gas in the vapour phase varying directly with its mole fraction in the solution. That direct proportionality between a dissolved gas’s vapour-phase partial pressure and its solution-phase mole fraction is the defining statement of Henry’s law.

Cross-check / Contrast

Checking this against the other named gas/solution laws confirms the match and rules out each alternative by what it actually governs:

  • Boyle’s law relates the pressure and volume of a fixed amount of gas at constant temperature (P ∝ 1/V); it says nothing about a solution or mole fraction.

  • Charles’s law relates the volume and temperature of a fixed amount of gas at constant pressure (V ∝ T); it also has no solution or mole-fraction term.

  • Raoult’s law relates the vapour pressure of a volatile component of a solution to its own mole fraction using that pure component’s vapour pressure, p_i = x_i × p_i° — it uses the component’s pure vapour pressure as the proportionality factor, not a solute-specific Henry constant, and is applied to volatile liquid components of a solution rather than a dissolved gas.

  • Only the gas-dissolved-in-liquid, proportionality-constant (K_H) formulation in the stem matches Henry’s law.

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