JEE · Chemistry

Chemical Thermodynamics

Decide energy change, heat, work, spontaneity and equilibrium tendency by defining the system, path, sign convention and constraints before applying any thermodynamic relation.

Subject
Chemistry
Syllabus unit
Chemical Thermodynamics
  • Mapped to JEE Main 2026 and JEE Advanced 2026
  • Boundary and constraint first, equation second
  • No invented weightage, question counts or trend percentages

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In short

Chemical thermodynamics predicts energy changes and the direction of spontaneous change from macroscopic states. A valid solution must define the system, state the sign convention, distinguish state functions from path functions, and apply each relation only under its pressure, temperature, reversibility and composition conditions.

Syllabus mapping

  • Unit
    Chemical Thermodynamics
    Topics
    System and surroundings; extensive and intensive properties; state functions, Entropy and process types, First law: work, heat, internal energy, enthalpy and heat capacity, Hess law, Named enthalpy changes: reaction, fusion, vaporization, lattice enthalpy, Second law: spontaneity, entropy of the universe, Gibbs energy, standard Gibbs energy and the equilibrium constant, Standard state (JEE Advanced)

What this chapter contains and why it matters

  • Question
    What is the chapter about?
    Direct answer
    How to predict energy change and spontaneity direction using system boundaries, state and path functions, the first and second laws, enthalpy, entropy and Gibbs energy.
  • Question
    What is the central method choice?
    Direct answer
    Define the boundary, specify the state, track path functions separately, apply the first-law ledger with the correct sign convention, and use the constraint-appropriate entropy or Gibbs criterion.
  • Question
    Where do most mistakes begin?
    Direct answer
    Mixing sign conventions for work, calling heat or work a state function, and using q_p = deltaH without checking the constant-pressure, pressure-volume-work restriction.
  • Question
    What should come before Chemical Thermodynamics?
    Direct answer
    Mole Concept for stoichiometric calculation and States of Matter for gas and phase behaviour.
  • Question
    What comes after it?
    Direct answer
    Equilibrium develops composition and reaction-quotient response, and Electrochemistry links Gibbs energy to cell potential.

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

Official JEE syllabus mapping for Chemical Thermodynamics

Verified against the current JEE Main 2026 and JEE Advanced 2026 syllabus documents on 8 September 2026. This is a wording and scope mapping, not a claim about question difficulty or frequency.

  • Concept group
    System, surroundings and process types
    JEE Main 2026
    System and surroundings and process types are explicitly listed.
    JEE Advanced 2026
    Not stated as a separate line item; treated as background to the listed state-function and law content.
    Preparation note
    Keep the system-surroundings definition explicit even where Advanced does not list it separately.
  • Concept group
    Work
    JEE Main 2026
    Work is listed generally alongside heat and internal energy.
    JEE Advanced 2026
    Work treatment is explicitly limited to pressure-volume work.
    Preparation note
    Do not assume non-pressure-volume work is Advanced-scope unless separately confirmed.
  • Concept group
    Enthalpy changes
    JEE Main 2026
    Named enthalpy changes are listed as a broader group.
    JEE Advanced 2026
    Reaction, fusion, vaporization and lattice enthalpy are explicitly named, alongside standard state.
    Preparation note
    Both examinations expect Hess-law based calculation of these enthalpy changes.
  • Concept group
    Second law and Gibbs energy
    JEE Main 2026
    Second law, spontaneity, entropy of the universe, Gibbs energy, standard Gibbs energy and the equilibrium constant are explicitly listed.
    JEE Advanced 2026
    Second law, entropy, Gibbs energy, equilibrium and spontaneity criteria are explicitly listed.
    Preparation note
    The relation between standard Gibbs energy and the equilibrium constant is common ground between Main and Advanced.

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 Chemical Thermodynamics

  • Prerequisite
    Mole concept and stoichiometry
    You are ready if you can…
    Balance a chemical equation and compute moles from mass or volume.
    If not, repair this first
    Revise Mole Concept before continuing.
  • Prerequisite
    Gas and phase behaviour
    You are ready if you can…
    Identify gaseous stoichiometric change and distinguish phases of matter.
    If not, repair this first
    Revise States of Matter.
  • Prerequisite
    Unit and temperature handling
    You are ready if you can…
    Convert Celsius to kelvin and keep energy, pressure and volume units consistent.
    If not, repair this first
    Practise SI unit conversion before substituting into a thermodynamic relation.

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

Concepts in this chapter

1. Define the boundary

Define the system, surroundings and whether matter or energy can cross the boundary.

Every thermodynamic problem starts by defining the system, the surroundings, and whether matter or energy can cross the boundary between them.

2. Specify the state

Internal energy, enthalpy, entropy and Gibbs energy are state functions; they depend only on the current state.

Specify composition, temperature, pressure and phase. Internal energy, enthalpy, entropy and Gibbs energy are state functions, meaning their value depends only on the current state, not on how it was reached.

3. Track path functions separately

Heat and work describe energy transfer along a process, not stored contents of a state.

Heat and work are path functions: they describe energy transfer during a process and depend on the path taken, unlike state functions.

4. Apply the first-law ledger with the Chemistry sign convention

Under the Chemistry sign convention, energy entering as heat or work is positive for the system.

Under the Chemistry sign convention used on this page, heat or work entering the system is taken as positive, and the internal energy change equals heat plus work.

5. Use the enthalpy route at constant pressure

At constant pressure with only pressure-volume work, the heat exchanged equals the enthalpy change.

At constant pressure, with only pressure-volume work occurring, the heat exchanged by the system equals its enthalpy change.

6. Use the constraint-appropriate entropy or Gibbs criterion

At constant temperature and pressure, a negative Gibbs energy change indicates a spontaneous forward change for the defined process.

At constant temperature and pressure, a negative Gibbs energy change indicates spontaneity for the defined process; other constraints require the entropy-of-universe criterion instead.

Method selector: choose the constraint-appropriate relation

Match the question signal to the correct relation and its operating constraint before any calculation.

  • Question signal
    Heat and work
    Best first model
    First-law ledger
    Required check
    Chemistry sign convention and system boundary
  • Question signal
    Constant-pressure calorimetry
    Best first model
    Enthalpy change
    Required check
    Only pressure-volume work and stated pressure constraint
  • Question signal
    Multiple reaction steps
    Best first model
    Hess law
    Required check
    Stoichiometric scaling and reaction reversal
  • Question signal
    Spontaneity at stated temperature
    Best first model
    Gibbs criterion
    Required check
    Constant temperature and pressure
  • Question signal
    Phase change or heating
    Best first model
    Segment-by-segment enthalpy
    Required check
    Phase, heat capacity and transition condition
  • Question signal
    Link to equilibrium constant
    Best first model
    Standard Gibbs relation
    Required check
    Temperature and standard states

Worked reasoning: when can increasing temperature change spontaneity?

For a process under constant temperature and pressure, deltaG = deltaH - T deltaS. This sign table assumes deltaH and deltaS are approximately constant over the temperature range; near phase changes or over a broad range, that approximation requires review.

  • Enthalpy sign
    Negative
    Entropy sign
    Positive
    Spontaneity behaviour
    Spontaneous at all temperatures in the model
  • Enthalpy sign
    Positive
    Entropy sign
    Negative
    Spontaneity behaviour
    Non-spontaneous at all temperatures in the model
  • Enthalpy sign
    Positive
    Entropy sign
    Positive
    Spontaneity behaviour
    Entropy term can dominate above a threshold temperature
  • Enthalpy sign
    Negative
    Entropy sign
    Negative
    Spontaneity behaviour
    Enthalpy term can dominate at sufficiently low temperature

Formula sheet

  • Internal energy changes by heat and work transferred to the system.

    First law of thermodynamics in the Chemistry sign convention.

    q
    heat transferred to the system (J)
    w
    work done on the system (J)

    Use whenq and w are positive when energy enters the system, under the Chemistry sign convention.

    Common trapImporting the Physics work-by-system sign convention without noting the switch.

  • Expansion does work on the surroundings, so system work is negative under constant external pressure.

    Pressure-volume work for a one-step process against constant external pressure.

    P_ext
    constant external pressure (Pa)
    deltaV
    volume change (m^3)

    Use whenThe process occurs against a constant external pressure.

    Common trapReplacing P_ext with the gas's own pressure in an irreversible step.

  • Work depends on the path through the external pressure.

    Reversible pressure-volume work along a quasistatic path.

    P_ext
    external pressure, matching internal pressure at every step (Pa)

    Use whenThe path is quasistatic and reversible.

    Common trapCalling every slow-looking process reversible without checking the quasistatic condition.

  • Enthalpy combines internal energy with the pressure-volume term.

    Definition of enthalpy for a macroscopic thermodynamic state.

    H
    enthalpy (J)
    U
    internal energy (J)
    P
    pressure (Pa)
    V
    volume (m^3)

    Use whenA macroscopic thermodynamic state is defined.

    Common trapCalling enthalpy the same as heat under all conditions.

  • Under these limits, constant-pressure heat measures enthalpy change.

    Heat exchanged at constant pressure equals the enthalpy change.

    q_p
    heat at constant pressure (J)

    Use whenThe system is closed, pressure is constant, and only pressure-volume work occurs.

    Common trapApplying it when electrical or other non-pressure-volume work also acts.

  • Gas expansion changes the pressure-volume contribution between internal energy and enthalpy.

    Relation between reaction enthalpy and internal-energy change for gas-phase stoichiometric change.

    deltaN_g
    change in gaseous stoichiometric moles only (mol)
    R
    gas constant (J/(mol K))
    T
    temperature (K)

    Use whenIdeal gases at one temperature, with deltaN_g counting only gaseous species.

    Common trapCounting liquids and solids in deltaN_g.

  • Build the reaction enthalpy from standard formation steps.

    Standard reaction enthalpy computed from standard formation enthalpies.

    v
    stoichiometric coefficient (dimensionless)

    Use whenThe same standard-state convention applies and the reaction is balanced.

    Common trapOmitting stoichiometric coefficients when summing formation enthalpies.

  • Enthalpy and entropy compete through temperature.

    Gibbs energy change at fixed temperature for the compared states.

    deltaS
    entropy change (J/(mol K))

    Use whenTemperature is consistent, and the criterion is used at constant temperature and pressure.

    Common trapUsing Celsius, or ignoring the units of entropy relative to enthalpy.

  • Composition changes the current driving force away from the standard value.

    Gibbs energy change away from standard composition.

    Q
    reaction quotient at the current composition (dimensionless)

    Use whenActivities are defined and the temperature matches the standard-state reference.

    Common trapUsing the equilibrium constant in place of the current reaction quotient.

  • Standard tendency determines the equilibrium position, but the reaction's own Gibbs change is zero at equilibrium, not the standard one.

    Relation between standard Gibbs energy change and the equilibrium constant.

    K
    dimensionless thermodynamic equilibrium constant (dimensionless)

    Use whenEquilibrium is established at temperature T with a properly defined dimensionless K.

    Common trapSaying deltaG(standard) becomes zero once an equilibrium mixture forms.

Worked examples

For a reaction with deltaH > 0 and deltaS > 0, explain when it becomes spontaneous.

Answer: The reaction becomes spontaneous above the temperature where T deltaS exceeds deltaH, under the constant-deltaH-and-deltaS approximation.

Use deltaG = deltaH - T deltaS at constant temperature and pressure.

With deltaH positive and deltaS positive, the -T deltaS term becomes more negative as T increases.

Above a threshold temperature, the entropy term outweighs the positive enthalpy term and deltaG becomes negative, provided deltaH and deltaS are approximately constant over the range considered.

Common mistakes and what they actually indicate

  • Mixing work done on the system with work done by the system.

    Execution error

    Why it happens

    Chemistry and Physics commonly use opposite sign conventions for work, and switching mid-calculation produces the wrong sign for deltaU.

    How it is corrected

    Fix one sign convention at the start of the problem and apply it consistently.

  • Calling heat and work state functions.

    Knowledge gap

    Why it happens

    Heat and work depend on the path taken, unlike internal energy, enthalpy, entropy and Gibbs energy.

    How it is corrected

    Classify each quantity as a state function or a path function before using it.

  • Using q_p = deltaH without the constant-pressure and pressure-volume-work-only restrictions.

    Decision / selection error

    Why it happens

    This equality holds only when pressure is constant and no non-pressure-volume work occurs.

    How it is corrected

    Check both conditions before equating measured heat with enthalpy change.

  • Counting condensed species (liquids or solids) in deltaN_g.

    Execution error

    Why it happens

    Only gaseous stoichiometric moles contribute to the pressure-volume work term linking deltaH and deltaU.

    How it is corrected

    Identify the physical state of every species before computing deltaN_g.

  • Using Celsius in the T deltaS term.

    Execution error

    Why it happens

    The Gibbs and entropy relations require an absolute temperature scale.

    How it is corrected

    Convert temperature to kelvin before substituting into any T deltaS or deltaG expression.

  • Saying a spontaneous reaction must be fast.

    Decision / selection error

    Why it happens

    Thermodynamics addresses favourability of a change, not the rate at which it proceeds; rate is governed by kinetics.

    How it is corrected

    Keep spontaneity and rate as separate questions, and route rate questions to Chemical Kinetics.

  • Saying deltaG(standard) becomes zero when an equilibrium mixture forms.

    Knowledge gap

    Why it happens

    At equilibrium, the reaction's own Gibbs change is zero, but the standard Gibbs energy change is a fixed reference value related to K, not to the current mixture.

    How it is corrected

    Keep deltaG (current) and deltaG(standard) as distinct quantities linked by deltaG = deltaG(standard) + RT ln Q.

FAQ

Chemical Thermodynamics — questions

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

Work done on the system is positive, so expansion against positive external pressure gives negative w.

Sources and provenance

Scope claims are verified against the current NTA JEE Main and JEE Advanced syllabus documents. Sign convention, laws, enthalpy, entropy and Gibbs-energy treatment follow NCERT Thermodynamics. The gas constant value follows NIST CODATA. Official-paper archives are linked for provenance only; no counts, weightage or frequency are asserted.

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