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Read Work and Heat Sign Conventions Before Any P-V Problem

First-law problems reward fixing sign convention before anything else — work done ON the gas is positive for the system in most Indian-syllabus convention, and reversible vs irreversible changes the magnitude even for the same start and end states.

NSEC · Thermodynamics · 11 linked questions · 100% coverage
Know this first

Chemistry questions first require the material, particles or reaction condition to be identified before a formula or rule is selected.

Observation · What the stem states or showsCondition · The factor that controls the change
Study deeper: NCERT Chemistry · Thermodynamics

Reversible vs irreversible work for the same compression

Reversible isothermal work
w=−nRTln⁡(V2/V1);w = -nRT \ln (V2/V_{1});
irreversible (single-step, constant external pressure) work
w=−Pext(V2−V1)w = -P_{ext}(V_{2}-V_{1})

these give different magnitudes for the same start and end states, so identify which process type the question describes before picking the formula.

Calorimetry is a heat-balance equation

Mixing ice and water (or any calorimetry problem) balances heat lost by the warmer component against heat gained by the cooler one, including any phase-change enthalpy (like fusion) that must be paid before temperature can rise — don't forget the latent-heat term when ice is involved.

Heat balance
Q_lost = Q_gained

Enthalpy of combustion: per mole vs per unit mass

Heat of combustion is usually reported per mole, but a question asking for energy released per gram needs that value divided by molar mass — check units carefully before comparing two fuels' 'energy release'.

Per-unit-mass conversion
energy per gram = |ΔH_combustion| / molar mass

Hess's law lets you build any enthalpy from measured steps

When a target reaction's ΔH isn't measured directly, construct it from a combination of given reactions (including phase-change steps like vaporisation) added or reversed as needed — the enthalpy of the target equals the same combination of the given ΔH values.

OlympIQ exam lens

  • ✓Reversible and irreversible work formulas give different magnitudes for the same start/end states — identify the process type first.
  • ✓Calorimetry balances heat lost against heat gained, including any latent heat for a phase change like ice melting.
  • ✓Heat of combustion is per mole by default — convert to per gram only when explicitly asked.
  • ✓Hess's law: combine given ΔH values (adding, reversing, or scaling reactions) to build the target reaction's enthalpy.
OlympIQ trap

Don't apply the reversible work formula to a single-step (irreversible) expansion or compression, or vice versa — they give genuinely different numerical answers for the same P, V and T endpoints.

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