JEE · Chemistry

Solutions

Solve solution-property problems by selecting the correct composition measure, vapour-pressure model, ideality assumption, colligative relation, particle count and unit system before substituting.

Subject
Chemistry
Syllabus unit
Solutions
Updated
8 September 2026
  • Mapped to JEE Main 2026 and JEE Advanced 2026
  • Equations carry their conditions and units
  • No invented weightage, question counts or trend percentages

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In short

Before using a Solutions formula, identify the composition variable, which component is volatile, whether the solution is ideal or dilute, whether the solute associates or dissociates, and which units match the constant.

Colligative properties depend on the effective number of dissolved particles under the model, not simply the formula-unit concentration written at the start.

Syllabus mapping

  • Unit
    Solutions
    Topics
    Concentration measures: mole fraction, molarity, molality, mass percentage, volume percentage, Raoult law for volatile components, Ideal and non-ideal solutions, vapour-pressure composition plots (Main), Henry law (Main: Equilibrium unit; Advanced: Solutions section), Colligative properties of dilute solutions, Boiling-point elevation and freezing-point depression, Osmotic pressure, van't Hoff factor, Molecular-mass determination and abnormal molar mass (Main)

What this chapter contains and why it matters

  • Question
    What is the chapter about?
    Direct answer
    Choosing the correct composition measure, vapour-pressure model, ideality assumption, colligative relation, and particle count before substituting into a formula.
  • Question
    What is the central method choice?
    Direct answer
    Fix the phase model (volatile solvent, volatile solute, non-volatile solute or dissolved gas), confirm ideality and dilution, then select the matching relation and correct the particle count.
  • Question
    Where do most mistakes begin?
    Direct answer
    Confusing molarity with molality, applying Raoult law to a non-ideal system without noting deviation, and treating van't Hoff factor as automatically equal to the stoichiometric ion count.
  • Question
    What should come before Solutions?
    Direct answer
    Mole Concept for amount-mass conversions and Thermodynamics for Kelvin-scale and equilibrium-adjacent reasoning.
  • Question
    What comes after it?
    Direct answer
    Ionic Equilibrium develops equilibrium reasoning further, and Electrochemistry and Chemical Kinetics use solution-based concentration language.

The official JEE documents define content scope. They do not publish chapter weightage, so none is asserted here.

Official JEE syllabus mapping for Solutions

Verified against the current JEE Main 2026 and JEE Advanced 2026 syllabus documents on 8 September 2026.

  • Concept group
    Concentration measures, Raoult law, ideal and non-ideal solutions
    JEE Main 2026
    Concentration measures, vapour pressure, Raoult law, ideal and non-ideal solutions and vapour-pressure composition plots are explicitly listed.
    JEE Advanced 2026
    Raoult law and ideal solutions are explicitly listed.
    Preparation note
    Learn composition measures and Raoult law together; Main additionally expects non-ideal vapour-pressure plots.
  • Concept group
    Henry law
    JEE Main 2026
    Listed separately in the Main Equilibrium unit, not in the Solutions unit.
    JEE Advanced 2026
    Listed within the Advanced Solutions section.
    Preparation note
    Learn the relation once, but note its different unit placement between the two exams.
  • Concept group
    Colligative properties and van't Hoff factor
    JEE Main 2026
    Colligative properties of dilute solutions, molecular-mass determination, abnormal molar mass and van't Hoff factor are explicitly listed.
    JEE Advanced 2026
    Lowering of vapour pressure, boiling-point elevation, freezing-point depression, osmotic pressure and van't Hoff factor are explicitly listed.
    Preparation note
    Confirm dilute and ideal conditions before applying any colligative relation.

Sources: JEE Main 2026 syllabus and JEE Advanced 2026 syllabus, both linked in the sources section below.

Before this chapter

Prerequisites: what you should know before Solutions

  • Prerequisite
    Mole concept
    You are ready if you can…
    Convert mass to amount and use molar mass confidently.
    If not, repair this first
    Revisit Mole Concept before working with any composition measure.
  • Prerequisite
    Solution versus solvent volume
    You are ready if you can…
    Distinguish solution volume from solvent mass in molarity and molality.
    If not, repair this first
    Re-derive both definitions from their variable, not from memory.
  • Prerequisite
    Kelvin temperature
    You are ready if you can…
    Use absolute temperature in osmotic pressure and vapour-pressure relations.
    If not, repair this first
    Practise Celsius-to-Kelvin conversion before substituting into any relation.
  • Prerequisite
    Equilibrium language
    You are ready if you can…
    Recognise vapour pressure as an equilibrium property at a stated temperature.
    If not, repair this first
    Review Thermodynamics and the Equilibrium unit's language before this chapter.

This is a readiness check, not a weightage or scoring-priority list.

Concepts in this chapter

1. Decide the composition variable before anything else

Mole fraction, molarity, molality, mass percentage and volume percentage are not interchangeable.

Decide whether the question needs mole fraction, molarity, molality, mass percentage, or volume percentage. Molarity depends on solution volume and is temperature-sensitive because volume changes with temperature; molality depends on solvent mass and is ordinarily temperature-independent.

2. Identify the phase model

Volatile solvent, volatile solute, non-volatile solute, or gas dissolved in liquid each need a different relation.

Identify volatile solvent, volatile solute, non-volatile solute, or gas dissolved in liquid before selecting a vapour-pressure relation.

3. Use Raoult-law equality as the ideal reference

Deviations from Raoult law signal changed intermolecular interactions and require the correct vapour-pressure model.

Raoult-law equality defines the ideal reference. Deviations from it signal changed intermolecular interactions and require the correct vapour-pressure model rather than a forced ideal calculation.

4. Confirm dilution before using a standard colligative relation

Standard colligative relations assume sufficiently dilute behaviour. Applying them outside that assumption is a decision error, not an execution error.

5. Correct for the effective particle count

Association lowers and dissociation raises the effective particle count relative to an undisturbed formula-unit model.

Association lowers and dissociation raises the effective particle count relative to an undisturbed formula-unit model. This effective count, not the written formula-unit concentration, drives colligative properties.

6. Select the relation only after the physical scenario is fixed

Select vapour pressure, boiling, freezing, or osmotic pressure only after the physical scenario is fixed: which component is volatile, whether the solution is ideal, and whether the solute changes the particle count.

7. Match units before calculating

Match amount, mass, volume, temperature, pressure, and the units of R, K_b, or K_f before calculation. Mixing litre-atmosphere and SI units is a common source of numerical error.

Method selector: fix the model before the formula

Match the question signal to the first model and its mandatory check.

  • Question signal
    Concentration changes with temperature
    Start with
    Molarity versus molality
    Mandatory check
    Solution volume changes; solvent mass does not
  • Question signal
    Volatile components
    Start with
    Component Raoult relations
    Mandatory check
    Mole fractions and pure-component vapour pressures
  • Question signal
    Non-volatile solute
    Start with
    Solvent vapour-pressure lowering
    Mandatory check
    Ideality and solute volatility
  • Question signal
    Gas solubility
    Start with
    Henry relation
    Mandatory check
    Convention, temperature, gas mole fraction, partial pressure
  • Question signal
    Boiling or freezing shift
    Start with
    Molality relation
    Mandatory check
    Dilute solution, K_b or K_f, van't Hoff factor
  • Question signal
    Osmotic pressure
    Start with
    π = iCRT model
    Mandatory check
    Dilute ideal behaviour, absolute temperature, consistent R units
  • Question signal
    Abnormal molar mass
    Start with
    Particle-count correction
    Mandatory check
    Association or dissociation model and extent

Formula sheet

  • Mole fraction of component i equals its amount divided by the total amount of all components.

    Mole fraction of component i.

    n_i
    amount of component i (mol)
    Σ n_j
    total amount of all components (mol)

    Use whenComposition needs to be expressed independently of temperature and volume.

    Common trapUsing masses instead of amounts of substance.

  • Molarity equals amount of solute divided by volume of solution.

    Molarity of the solute.

    n_solute
    amount of solute (mol)
    V_solution
    volume of solution (L)

    Use whenSolution volume is known and available; note this is temperature-sensitive because solution volume can change.

    Common trapDividing by solvent volume instead of solution volume.

  • Molality equals amount of solute divided by mass of solvent in kilograms.

    Molality of the solute.

    n_solute
    amount of solute (mol)
    m_solvent
    mass of solvent (kg)

    Use whenSolvent mass is known; ordinarily temperature-independent, unlike molarity.

    Common trapUsing solution mass instead of solvent mass.

  • Partial vapour pressure of component i equals its mole fraction times the vapour pressure of the pure component.

    Raoult relation for volatile component i in an ideal solution.

    p_i
    partial vapour pressure of component i (matches p_i^0)
    x_i
    mole fraction of component i in solution (dimensionless)
    p_i^0
    vapour pressure of pure component i (pressure unit)

    Use whenThe solution is ideal at the stated temperature.

    Common trapUsing the solute mole fraction where the solvent partial pressure is required.

  • Relative lowering of vapour pressure equals the mole fraction of the non-volatile solute.

    Relative lowering of solvent vapour pressure caused by a non-volatile solute.

    p^0
    vapour pressure of the pure solvent (pressure unit)
    p
    vapour pressure of the solution (pressure unit)
    x_solute
    mole fraction of the non-volatile solute (dimensionless)

    Use whenThe solution is ideal, the solute is non-volatile, and dilute approximation is used in standard molar-mass work.

    Common trapApplying this relation when the solute is volatile, without a full component treatment.

  • Pressure equals the Henry constant times the mole fraction of dissolved gas.

    Henry relation for a gas dissolved in a liquid, in the NCERT convention.

    K_H
    Henry constant (pressure unit)
    x
    mole fraction of dissolved gas (dimensionless)

    Use whenA dilute gas is dissolved in liquid at fixed temperature, with the constant's convention stated.

    Common trapAssuming every textbook uses the same Henry-constant convention.

  • Boiling-point elevation equals van't Hoff factor times the ebullioscopic constant times molality.

    Boiling-point elevation for a dilute solution.

    i
    van't Hoff factor (dimensionless)
    K_b
    ebullioscopic constant (K kg mol^-1 (common))
    m
    molality (mol kg^-1)

    Use whenThe solution is dilute and molality is used consistently.

    Common trapUsing molarity or Celsius as an absolute temperature input.

  • Freezing-point depression equals van't Hoff factor times the cryoscopic constant times molality.

    Magnitude of freezing-point depression for a dilute solution.

    K_f
    cryoscopic constant (K kg mol^-1 (common))
    m
    molality (mol kg^-1)

    Use whenThe solution is dilute and molality is used consistently.

    Common trapLosing the fact that the freezing point decreases, not increases.

  • Osmotic pressure equals van't Hoff factor times molar concentration times the gas constant times absolute temperature.

    Osmotic pressure of a dilute ideal solution.

    C
    molar concentration (mol m^-3 or matched alternative)
    T
    absolute temperature (K)

    Use whenThe solution is dilute and ideal, with absolute temperature used.

    Common trapMixing litre-atmosphere and SI units.

  • Van't Hoff factor equals the observed colligative effect divided by the effect expected with no association or dissociation.

    Effective particle-count factor comparing observed behaviour to the undisturbed formula-unit model.

    i
    van't Hoff factor (dimensionless)

    Use whenAssociation, dissociation, or non-ideal behaviour must be captured; the model is not universal.

    Common trapSetting i equal to the stoichiometric ion count without the complete-dissociation assumption.

Worked examples

Compare the freezing-point depression of aqueous glucose and aqueous calcium chloride at equal molality, assuming both solutions are dilute and ideal and calcium chloride dissociates completely for the model.

Answer: The model predicts ΔT_f for calcium chloride is three times that of glucose at equal molality, subject to complete dissociation and ideal dilute behaviour.

Glucose remains molecular, so its ideal particle factor is i = 1.

One formula unit of CaCl2 produces one Ca2+ and two Cl- ions, giving the model value i = 3.

At the same molality and with the same solvent, ΔT_f = iK_fm predicts a freezing-point depression three times as large for the calcium chloride model.

Real solutions may deviate from complete independent-particle behaviour, so the observed i need not equal exactly 3. The condition is what makes the numerical comparison valid.

Common mistakes and what they actually indicate

  • Confusing molarity with molality.

    Recall gap

    Why it happens

    Molarity uses solution volume and is temperature-sensitive; molality uses solvent mass and is ordinarily temperature-independent.

    How it is corrected

    Identify the denominator (solution volume or solvent mass) required by the question before substituting.

  • Using solvent volume in molarity or solution mass in molality.

    Execution error

    Why it happens

    Each concentration measure is defined against a specific denominator; swapping it changes the numerical result.

    How it is corrected

    Re-derive the definition from its variable rather than recalling it from memory.

  • Applying Raoult law to a non-ideal system without noting deviation.

    Decision / selection error

    Why it happens

    Raoult-law equality only holds for the ideal reference; deviations require a different vapour-pressure model.

    How it is corrected

    Check for stated or implied ideality before using p_i = x_i p_i^0 as an equality.

  • Using the wrong component mole fraction in a vapour-pressure expression.

    Execution error

    Why it happens

    Solvent and solute mole fractions play different roles in Raoult-law and relative-lowering expressions.

    How it is corrected

    Confirm which component's mole fraction the relation actually requires before substituting.

  • Forgetting that Henry constants have different published conventions.

    Knowledge gap

    Why it happens

    Not every textbook or paper uses the same definition of the Henry constant.

    How it is corrected

    State the convention being used before comparing or substituting a Henry constant value.

  • Treating van't Hoff factor as automatically equal to ion count.

    Decision / selection error

    Why it happens

    Incomplete dissociation, association, and non-ideal interactions can change the effective number of independently behaving particles.

    How it is corrected

    Use i = observed effect / expected effect and only assume complete dissociation when the model states it explicitly.

  • Mixing pressure-volume unit systems in osmotic pressure.

    Execution error

    Why it happens

    π = iCRT requires R, C, and pressure units to be mutually consistent.

    How it is corrected

    Convert all quantities to one consistent unit system, SI or litre-atmosphere, before substituting.

  • Using Celsius instead of Kelvin in π = iCRT.

    Execution error

    Why it happens

    The relation requires absolute temperature; Celsius introduces a systematic error.

    How it is corrected

    Convert temperature to Kelvin before substituting into any colligative relation.

  • Ignoring the non-volatile-solute condition in relative vapour-pressure lowering.

    Decision / selection error

    Why it happens

    The relative-lowering relation assumes the solute itself does not contribute vapour pressure.

    How it is corrected

    Confirm the solute is non-volatile before using (p^0 - p)/p^0 = x_solute.

FAQ

Solutions — questions

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

Molarity is amount of solute per volume of solution. Molality is amount of solute per mass of solvent.

Sources and provenance

Evidence boundary: the syllabus mapping is tied to the official 2026 JEE Main and JEE Advanced documents, including Henry law's differing unit placement between the two exams. Vapour-pressure, colligative and particle-count relations follow NCERT Solutions treatment. No chapter weightage, question frequency or forecast is asserted.

Last updated
8 September 2026

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