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Solubility, Henry's Law, and Raoult's Law

Henry's law relates the solubility of a gas in a liquid to its partial pressure, while Raoult's law relates the vapour pressure of a volatile component in an ideal solution to its mole fraction.

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Student-friendly explanation

For gases dissolved in liquids, higher pressure generally increases solubility at a fixed temperature. Henry's law is commonly written as p = K_H x, where x is mole fraction of gas in solution; some simplified contexts express solubility as directly proportional to pressure. Raoult's law states that the partial vapour pressure of a component equals its pure vapour pressure multiplied by its mole fraction in the solution.

How to write this in exams

  1. 1

    Start with the exact idea

    Henry's law relates the solubility of a gas in a liquid to its partial pressure, while Raoult's law relates the vapour pressure of a volatile component in an ideal solution to its mole fraction.

  2. 2

    Then show how to use it

    Decide whether the question is about a gas dissolved in a liquid or a volatile liquid mixture. Use Henry's law for gas solubility under pressure. Use Raoult's law when vapour pressure and mole fraction of liquid components are involved. Substitute pressure units consistently and interpret whether solubility or vapour pressure increases or decreases.

  3. 3

    Add one concrete example

    Carbonated drinks are bottled under high CO2 pressure, so more CO2 remains dissolved. When the bottle is opened, pressure decreases and CO2 escapes.

  4. 4

    Avoid this incomplete answer

    Using p = p^0 x for gas solubility instead of Henry's law is a realistic formula-selection error.

Definition

Henry's law relates the solubility of a gas in a liquid to its partial pressure, while Raoult's law relates the vapour pressure of a volatile component in an ideal solution to its mole fraction.

Example

Carbonated drinks are bottled under high CO2 pressure, so more CO2 remains dissolved. When the bottle is opened, pressure decreases and CO2 escapes.

Rule to remember

Henry's law: p = K_H x for a gas dissolved in a liquid. Raoult's law for an ideal solution: p_i = p_i^0 x_i. Total pressure for two volatile components: p_total = p_A^0 x_A + p_B^0 x_B.

Memory hook

Henry handles gases under pressure; Raoult handles vapour pressure from mole fraction.

Examples and method

Worked example

If p_A^0 = 80 kPa, p_B^0 = 50 kPa, x_A = 0.30, and x_B = 0.70 for an ideal solution, then p_total = 80 x 0.30 + 50 x 0.70 = 24 + 35 = 59 kPa. Interpretation: the vapour pressure is the mole-fraction-weighted sum of partial pressures.

Method to apply

Decide whether the question is about a gas dissolved in a liquid or a volatile liquid mixture. Use Henry's law for gas solubility under pressure. Use Raoult's law when vapour pressure and mole fraction of liquid components are involved. Substitute pressure units consistently and interpret whether solubility or vapour pressure increases or decreases.

Diagram support

A pressure-solubility graph can support Henry's law, but it is not mandatory for this concept. A straight-line relation at constant temperature is enough for most questions.

How CBSE asks it

Questions often ask for gas solubility trends with pressure, applications such as soda bottles or deep-sea diving, calculation of vapour pressure using Raoult's law, or assertion-reason links between pressure and gas dissolution.

Avoid common mistakes

Common confusion

A common confusion is treating Henry's constant as if a larger value always means higher solubility. In the form p = K_H x, larger K_H means lower solubility for the same pressure.

Common wrong answer

Using p = p^0 x for gas solubility instead of Henry's law is a realistic formula-selection error.

Exam tip

Write the exact form of the law before interpreting K_H. For Raoult's law, check whether the solution is ideal and whether the component is volatile.

Quick check

In the form p = K_H x, what happens to gas solubility when K_H is large at the same pressure?

The mole fraction x is smaller, so the gas is less soluble.

Answer writing and exam use

1-mark answer

Henry's law relates the solubility of a gas in a liquid to its partial pressure, while Raoult's law relates the vapour pressure of a volatile component in an ideal solution to its mole fraction.

2-mark answer

Henry's law relates the solubility of a gas in a liquid to its partial pressure, while Raoult's law relates the vapour pressure of a volatile component in an ideal solution to its mole fraction. Henry's law: p = K_H x for a gas dissolved in a liquid. Raoult's law for an ideal solution: p_i = p_i^0 x_i. Total pressure for two volatile components: p_total = p_A^0 x_A + p_B^0 x_B. Carbonated drinks are bottled under high CO2 pressure, so more CO2 remains dissolved. When the bottle is opened, pressure decreases and CO2 escapes.

3-mark answer

For gases dissolved in liquids, higher pressure generally increases solubility at a fixed temperature. Henry's law is commonly written as p = K_H x, where x is mole fraction of gas in solution; some simplified contexts express solubility as directly proportional to pressure. Raoult's law states that the partial vapour pressure of a component equals its pure vapour pressure multiplied by its mole fraction in the solution. Henry's law: p = K_H x for a gas dissolved in a liquid. Raoult's law for an ideal solution: p_i = p_i^0 x_i. Total pressure for two volatile components: p_total = p_A^0 x_A + p_B^0 x_B. If p_A^0 = 80 kPa, p_B^0 = 50 kPa, x_A = 0.30, and x_B = 0.70 for an ideal solution, then p_total = 80 x 0.30 + 50 x 0.70 = 24 + 35 = 59 kPa. Interpretation: the vapour pressure is the mole-fraction-weighted sum of partial pressures. Questions often ask for gas solubility trends with pressure, applications such as soda bottles or deep-sea diving, calculation of vapour pressure using Raoult's law, or assertion-reason links between pressure and gas dissolution. Using p = p^0 x for gas solubility instead of Henry's law is a realistic formula-selection error.
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