NEET · Chemistry

Solutions for NEET: Raoult Law, Colligative Properties and van't Hoff Factor

Own official Unit 5: concentration terms, vapour pressure/Raoult law, ideal and non-ideal solutions at current depth, colligative properties, molecular-mass determination and van't Hoff factor with applicability conditions.

Subject
Chemistry
Syllabus unit
Current official NEET UG 2026 scope

In short

Solution calculations are reliable only when the concentration basis and physical model are stated. Molarity depends on solution volume and therefore temperature; molality depends on solvent mass. Raoult-law and colligative-property equations apply under their stated ideal/dilute assumptions, while the van't Hoff factor accounts for effective particle-number changes from association or dissociation.

Syllabus mapping

  • Unit
    Current official NEET UG 2026 scope
    Topics
    Concentration terms, Vapour pressure and Raoult law, Colligative properties, Molecular-mass reasoning

Before this chapter

Concepts in this chapter

1. Concentration terms

Molarity M is moles of solute per litre of solution and changes if solution volume changes with temperature. Molality m is moles of solute per kilogram of solvent and is independent of volume. Mole fraction is dimensionless and the mole fractions in a mixture sum to one. Mass percentage uses a mass/mass basis unless another basis is explicitly stated.

2. Vapour pressure and Raoult law

For an ideal solution component i, p_i = x_i p_i°, and total vapour pressure is the sum of component partial pressures. For a nonvolatile solute in an ideal dilute model, the relative lowering of solvent vapour pressure is related to solute mole fraction. Non-ideal solutions show positive or negative deviations from Raoult-law behaviour depending on intermolecular-interaction changes; do not assume ideality if the question explicitly signals association or strong interaction differences.

3. Colligative properties

Colligative properties depend on the number of solute particles rather than their chemical identity in the ideal dilute treatment. The current-scope relations include:

  • boiling-point elevation Delta Tb = i Kb m;
  • freezing-point depression Delta Tf = i Kf m;
  • osmotic pressure pi = i C R T.

i is the van't Hoff factor. For a non-electrolyte with no association/dissociation, i is approximately 1. Electrolyte dissociation can raise the effective particle count; association can lower it. The actual model must match the species and concentration regime.

4. Molecular-mass reasoning

A colligative measurement can be combined with sample mass and concentration definitions to infer molar mass. The workflow must show which amount basis is measured and whether an i correction is justified; do not automatically insert a textbook integer dissociation count when the problem gives an observed van't Hoff factor.

5. Decision aids for this chapter

  • Concentration Basis Switcher: molarity/molality/mole fraction/mass % with denominator highlighted.
  • Colligative Model Selector: property -> required concentration -> i assumption -> unit set -> result.
  • Particle Count Ledger: formula units introduced, effective particles, observed i and whether association/dissociation is implied.

Formula sheet

  • M = n_solute / V_solution: mol L^-1 if V in L. Solution volume at stated T

    M = n_solute / V_solution

    Use when — Solution volume at stated T

  • m = n_solute / mass_solvent(kg): mol kg^-1. Solvent mass basis

    m = n_solute / mass_solvent(kg)

    Use when — Solvent mass basis

  • x_i = n_i / sum(n): dimensionless. Mole basis

    x_i = n_i / sum(n)

    Use when — Mole basis

  • p_i = x_i p_i°: pressure. Ideal-solution component model

    p_i = x_i p_i°

    Use when — Ideal-solution component model

  • Delta Tb = i Kb m: K; Kb in K kg mol^-1. Dilute colligative model

    Delta Tb = i Kb m

    Use when — Dilute colligative model

  • Delta Tf = i Kf m: K. Dilute colligative model

    Delta Tf = i Kf m

    Use when — Dilute colligative model

  • pi = i C R T: pressure; C mol volume^-1; T K. Dilute solution/osmotic ideal model

    pi = i C R T

    Use when — Dilute solution/osmotic ideal model

  • i = observed colligative effect / ideal effect for same formula amount: dimensionless. Defined comparison

    i = observed colligative effect / ideal effect for same formula amount

    Use when — Defined comparison

Worked examples

A 0.100 mol kg^-1 aqueous solution of a non-electrolyte has Kf = 1.86 K kg mol^-1. Assuming i=1, estimate the freezing-point depression.

Original NEET-style item: A 0.100 mol kg^-1 aqueous solution of a non-electrolyte has Kf = 1.86 K kg mol^-1. Assuming i=1, estimate the freezing-point depression.

Reasoning: Delta Tf = i Kf m = 1 x 1.86 x 0.100 = 0.186 K. This is the magnitude of the depression; the new freezing point would be lower than the pure solvent value by that amount.

Common mistakes and what they actually indicate

  • Cannot distinguish molarity from molality denominator

    Knowledge gap

    Why it happens

    Preparation Intelligence classification: Knowledge Gap.

    How it is corrected

    Identify solution volume vs solvent mass before formula selection.

  • Forgets colligative equations

    Recall gap

    Why it happens

    Preparation Intelligence classification: Recall Gap.

    How it is corrected

    Retrieve property + concentration basis + i together.

  • Uses Celsius in pi=iCRT

    Execution error

    Why it happens

    Preparation Intelligence classification: Execution Error.

    How it is corrected

    Convert to kelvin.

  • Assumes i=2 for every 1:1 electrolyte regardless of data

    Decision / selection error

    Why it happens

    Preparation Intelligence classification: Decision / Selection Error.

    How it is corrected

    Use stated/observed model and concentration context.

  • Ideality or association state is ambiguous

    Needs review

    Why it happens

    Preparation Intelligence classification: Needs Review.

    How it is corrected

    State the assumption or hold the exact numerical inference.

FAQ

Solutions for NEET: Raoult Law, Colligative Properties and van't Hoff Factor — questions

Straight answers about how Rank Sarthi fits into serious exam preparation.

Molality uses solvent mass, while molarity uses solution volume, which can change with temperature.

Sources and provenance

Official scope is taken from the NEET (UG) 2026 syllabus and official NTA documents; concept structure follows current NCERT contents. No performance, weightage or question-frequency data is asserted.