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Chemistry · PhysicsIntensive, extensive, specific and molar properties

Scaling the system amount is different from changing its state.

DefinitionChemistry · MeasurementRelative atomic mass and isotope composition

Relative atomic mass is dimensionless and depends on the isotope composition being averaged.

DefinitionChemistry · MeasurementMolar mass and mass–amount conversion

Molar mass converts a specified substance's amount into mass.

DefinitionChemistry · MeasurementAmount concentration, molality and composition fractions

Concentration must declare its numerator and denominator.

DefinitionChemistryDilution conserves the retained solute amount

Dilution arithmetic refers to final solution volume, not the amount of solvent poured in.

MethodChemistryLimiting reagent, theoretical yield and percent yield

Stoichiometry gives a maximum under a specified reaction model; recovery measures the actual yield.

MethodChemistryFormal charge is equal-share electron accounting

Formal charge, oxidation state and partial charge answer different questions.

DefinitionChemistryElectrolyte strength, solubility and concentration

Strong describes ion formation by dissolved solute, not how much solute dissolves.

DefinitionChemistryComplete ionic and net ionic equations

Cancel unchanged species while conserving both atoms and charge.

MethodBiology · ChemistryWater polarity and biological interactions

Water's molecular interactions help explain solvation, cohesion and thermal buffering.

Empirical findingBiologyCell size and surface-to-volume scaling

For geometrically similar cells, volume grows faster than surface area.

ModelBiology · ChemistryOsmolarity and tonicity

Total particle concentration and lasting cell-volume effect are different properties.

DefinitionBiologyChromosome sets and DNA content

DNA replication doubles DNA content without doubling chromosome-set ploidy.

DefinitionBiologyOrganisms, populations, communities and ecosystems

Ecological levels describe different interacting sets and environments.

DefinitionBiologyPopulation size, density and demographic balance

Total individuals and individuals per area or volume must be distinguished.

ModelBiologyMutation and selection: different roles

Mutations do not generally appear because an organism needs their future advantage.

Empirical findingBiologyClades and rooted-tree interpretation

Shared ancestry is represented by topology, not by the left-to-right order of tips.

MethodBiology · ChemistryPlant water potential and pressure balance

Osmotic and mechanical contributions together determine passive water movement.

ModelEarth & cosmosRock and mineral are different material categories

A mineral species and a rock aggregate have different identifying features.

DefinitionEarth & cosmosEarth's compositional and mechanical layers

Crust–mantle–core and lithosphere–asthenosphere partition Earth by different properties.

ModelEarth & cosmos · MeasurementGeodetic latitude, longitude and reference systems

A coordinate pair needs a reference surface, origin and convention.

DefinitionEarth & cosmos · MeasurementMap projections and distortion

Flattening Earth's curved reference surface requires a choice of distortions.

ModelEarth & cosmos · MeasurementEllipsoid height, geoid and orthometric height

Height above a geometric reference is not automatically height above a gravity reference.

DefinitionEarth & cosmosRotation, axial tilt and seasonal sunlight

Axial tilt changes the angle and duration of sunlight in opposite hemispheres.

ModelEarth & cosmosNatural hazard and disaster risk

A harmful physical process and the potential losses it creates are different quantities.

DefinitionEarth & cosmosUsing present processes to infer Earth's past

Modern process evidence informs geological interpretation only with the past boundary conditions.

MethodEarth & cosmosLunar phases and synchronous rotation

Phases change the visible illuminated fraction; they are not Earth's shadow moving across the Moon.

ModelEarth & cosmosSolar and lunar eclipse geometry

New or full Moon is necessary for the corresponding eclipse but does not guarantee alignment.

ModelEarth & cosmosIAU Solar-System body categories

A scoped naming convention distinguishes planets, dwarf planets, small bodies and satellites.

DefinitionEarth & cosmos · MeasurementAstronomical unit and light-year

The astronomical unit and light-year measure lengths, with different defining conventions.

Definition
DefinitionSource checked

Intensive, extensive, specific and molar properties

ChemistryPhysics

Scaling the system amount is different from changing its state.

Key knowledge

In the ordinary bulk thermodynamic model, extensive properties such as mass and volume scale with system amount at fixed state and composition. Intensive properties such as temperature and pressure do not scale that way. A specific property is expressed per mass; a molar property per amount of substance. Density can be intensive for a homogeneous material without being independent of temperature, pressure or composition.

Values and equations

v_specific = V/m; V_molar = V/n

v_specific
specific volume on the stated mass basis m^3 kg^-1
V_molar
molar volume on the stated amount/entity basis m^3 mol^-1
V
system volume m^3
m
system mass kg
n
amount of the specified entities mol

Conditions and scope

  • Compare systems at the same intensive state and composition with compatible boundaries, not arbitrary unequal samples.
  • Simple additivity neglects significant interface and inter-subsystem interaction contributions; it must not be imposed on every finite or long-range-interacting system.
  • Positive mass/amount denominators and stated homogeneous state/composition.
Sources · 2

References

Sources retain their recorded scope. A source link alone does not establish verification of every statement.

  1. §1.4 Muddiest points: specific, extensive and intensive propertiesMIT Unified Engineering · Thermodynamics and PropulsionCourse notesweb.mit.eduRead source
  2. Chemistry 2e (2019), §1.3 Physical and chemical propertiesPaul Flowers, Klaus Theopold, Richard Langley and William R. Robinson · OpenStax/Rice UniversityTextbook chapteropenstax.orgRead source

Evidence and review

Inspected MIT §1.4 MP1.1/MP1.2 definitions, additivity and V=mv, and Chemistry §1.3 intensive/extensive paragraphs. The model boundary excludes universal additivity; Chemistry's 'pot contains heat' wording is explicitly not adopted. Per-mole volume is the same stated normalization by amount.

2026-10-10 · Independent Mathematics and Information editor (/root/core_math_information). Independent AI editorial review of this entry's statements, equations, applicability conditions and source coverage. Source checks apply to these claims within their stated limits.

Related reference entries

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Scientific relationships · 3 / 3

The relationship type describes the connection. Its linked statements, sources and conditions define the scope.

  1. Related to
    Relationship sources · 2

    Linked statements

    • In the ordinary bulk thermodynamic model, extensive properties such as mass and volume scale with system amount at fixed state and composition. Intensive properties such as temperature and pressure do not scale that way. A specific property is expressed per mass; a molar property per amount of substance. Density can be intensive for a homogeneous material without being independent of temperature, pressure or composition.

    Molar mass is one explicitly amount-normalized property, not an extensive total sample mass.

  2. Related to
    Relationship sources · 2

    Linked statements

    • In the ordinary bulk thermodynamic model, extensive properties such as mass and volume scale with system amount at fixed state and composition. Intensive properties such as temperature and pressure do not scale that way. A specific property is expressed per mass; a molar property per amount of substance. Density can be intensive for a homogeneous material without being independent of temperature, pressure or composition.

    A concentration or composition ratio has a declared denominator and can remain constant during scaling at fixed composition/state.

  3. Related to
    Relationship sources · 2

    Linked statements

    • In the ordinary bulk thermodynamic model, extensive properties such as mass and volume scale with system amount at fixed state and composition. Intensive properties such as temperature and pressure do not scale that way. A specific property is expressed per mass; a molar property per amount of substance. Density can be intensive for a homogeneous material without being independent of temperature, pressure or composition.

    The bulk thermodynamic state variables are distinct from their mass/amount normalizations; extensivity needs its own system-size and interaction assumptions.

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