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Vapour Pressure, Ideal Solutions, and Deviations

Vapour pressure of a solution is the pressure exerted by vapour in equilibrium with the liquid solution; addition of a non-volatile solute lowers the vapour pressure of the solvent, and liquid pairs may show ideal or non-ideal behaviour.

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Student-friendly explanation

For an ideal solution, each volatile component follows Raoult's law across the full composition range. When a non-volatile solute is added, fewer solvent molecules escape from the surface, so vapour pressure decreases. Non-ideal solutions show positive or negative deviation depending on whether unlike molecular interactions are weaker or stronger than like interactions.

How to write this in exams

  1. 1

    Start with the exact idea

    Vapour pressure of a solution is the pressure exerted by vapour in equilibrium with the liquid solution; addition of a non-volatile solute lowers the vapour pressure of the solvent, and liquid pairs may show ideal or non-ideal behaviour.

  2. 2

    Then show how to use it

    Identify whether the solute is volatile or non-volatile. For non-volatile solute, use solvent mole fraction to calculate vapour pressure. For deviation questions, compare A-B interactions with A-A and B-B interactions, then decide whether observed vapour pressure is higher or lower than ideal.

  3. 3

    Add one concrete example

    A solution of sugar in water has lower vapour pressure than pure water because sugar is non-volatile and reduces the mole fraction of water at the surface.

  4. 4

    Avoid this incomplete answer

    Taking x_solvent as relative lowering instead of x_solute gives the opposite numerical answer.

Definition

Vapour pressure of a solution is the pressure exerted by vapour in equilibrium with the liquid solution; addition of a non-volatile solute lowers the vapour pressure of the solvent, and liquid pairs may show ideal or non-ideal behaviour.

Example

A solution of sugar in water has lower vapour pressure than pure water because sugar is non-volatile and reduces the mole fraction of water at the surface.

Rule to remember

For a non-volatile solute: p_solution = p_solvent^0 x_solvent. Relative lowering of vapour pressure: (p^0 - p)/p^0 = x_solute for dilute ideal solutions. Positive deviation: observed vapour pressure is higher than Raoult's law prediction. Negative deviation: observed vapour pressure is lower than prediction.

Memory hook

Lower solvent mole fraction means lower solvent vapour pressure.

Examples and method

Worked example

If pure solvent vapour pressure is 100 kPa and solvent mole fraction in solution is 0.80, then p_solution = 100 x 0.80 = 80 kPa. Relative lowering = (100 - 80)/100 = 0.20, equal to solute mole fraction for an ideal dilute case.

Method to apply

Identify whether the solute is volatile or non-volatile. For non-volatile solute, use solvent mole fraction to calculate vapour pressure. For deviation questions, compare A-B interactions with A-A and B-B interactions, then decide whether observed vapour pressure is higher or lower than ideal.

Diagram support

A vapour pressure versus mole fraction graph is important because exam questions commonly ask students to identify ideal line, positive deviation, and negative deviation from curves.

How CBSE asks it

Questions may ask for relative lowering calculation, graph interpretation, identification of positive or negative deviation, or reasoning based on intermolecular forces.

Avoid common mistakes

Common confusion

Students often reverse the reason for positive and negative deviations. Positive deviation occurs when A-B interactions are weaker than A-A and B-B interactions; negative deviation occurs when A-B interactions are stronger.

Common wrong answer

Taking x_solvent as relative lowering instead of x_solute gives the opposite numerical answer.

Exam tip

For deviation questions, compare intermolecular attractions first, then predict vapour pressure and boiling point trend.

Quick check

Why does adding a non-volatile solute lower the vapour pressure of a solvent?

The mole fraction of solvent decreases, so fewer solvent molecules escape into vapour phase.

Answer writing and exam use

1-mark answer

Vapour pressure of a solution is the pressure exerted by vapour in equilibrium with the liquid solution; addition of a non-volatile solute lowers the vapour pressure of the solvent, and liquid pairs may show ideal or non-ideal behaviour.

2-mark answer

Vapour pressure of a solution is the pressure exerted by vapour in equilibrium with the liquid solution; addition of a non-volatile solute lowers the vapour pressure of the solvent, and liquid pairs may show ideal or non-ideal behaviour. For a non-volatile solute: p_solution = p_solvent^0 x_solvent. Relative lowering of vapour pressure: (p^0 - p)/p^0 = x_solute for dilute ideal solutions. Positive deviation: observed vapour pressure is higher than Raoult's law prediction. Negative deviation: observed vapour pressure is lower than prediction. A solution of sugar in water has lower vapour pressure than pure water because sugar is non-volatile and reduces the mole fraction of water at the surface.

3-mark answer

For an ideal solution, each volatile component follows Raoult's law across the full composition range. When a non-volatile solute is added, fewer solvent molecules escape from the surface, so vapour pressure decreases. Non-ideal solutions show positive or negative deviation depending on whether unlike molecular interactions are weaker or stronger than like interactions. For a non-volatile solute: p_solution = p_solvent^0 x_solvent. Relative lowering of vapour pressure: (p^0 - p)/p^0 = x_solute for dilute ideal solutions. Positive deviation: observed vapour pressure is higher than Raoult's law prediction. Negative deviation: observed vapour pressure is lower than prediction. If pure solvent vapour pressure is 100 kPa and solvent mole fraction in solution is 0.80, then p_solution = 100 x 0.80 = 80 kPa. Relative lowering = (100 - 80)/100 = 0.20, equal to solute mole fraction for an ideal dilute case. Questions may ask for relative lowering calculation, graph interpretation, identification of positive or negative deviation, or reasoning based on intermolecular forces. Taking x_solvent as relative lowering instead of x_solute gives the opposite numerical answer.
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