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The '''molar volume''' (symbol ''V''<sub>m</sub>) is the [[volume (science)|volume]] occupied by one [[mole (unit)|mole]] of a substance ([[chemical element]] or [[chemical compound]]) at a given [[temperature]] and [[pressure]].<ref name="GreenBook">[http://www.iupac.org/publications/books/gbook/green_book_2ed.pdf International Union of Pure and Applied chemistry (IUPAC): Quantities, Units and Symbols in Physical Chemistry] 2nd Edition, 1993</ref> It is equal to the [[molecular mass]] (''M'') divided by the [[density (chemistry)|density]] (''ρ''): | The '''molar volume''' (symbol ''V''<sub>m</sub>) is the [[volume (science)|volume]] occupied by one [[mole (unit)|mole]] of a substance ([[chemical element]] or [[chemical compound]]) at a given [[temperature]] and [[pressure]].<ref name="GreenBook">[http://www.iupac.org/publications/books/gbook/green_book_2ed.pdf International Union of Pure and Applied chemistry (IUPAC): Quantities, Units and Symbols in Physical Chemistry] 2nd Edition, 1993</ref> It is equal to the [[molecular mass]] (''M'') divided by the [[density (chemistry)|density]] (''ρ'') at the given temperature and prerssure: | ||
::<math>V_{\rm m} = {M\over\rho}</math> | ::<math>V_{\rm m} = {M\over\rho}</math> | ||
Revision as of 22:17, 10 January 2010
The molar volume (symbol Vm) is the volume occupied by one mole of a substance (chemical element or chemical compound) at a given temperature and pressure.[1] It is equal to the molecular mass (M) divided by the density (ρ) at the given temperature and prerssure:
It has an SI unit of cubic metres per mole (m3/mol).[1] However, molar volumes are often expressed as cubic metres per 1,000 moles (m3/kmol) or cubic decimetres per mol (dm3/mol) for gases and as centimetres per mole (cm3/mol) for liquids and solids.
If a substance is a mixture containing N components, the molar volume is calculated using:
where x i is the mole fraction of the ith component.
Ideal gases
The ideal gas law equation can be rearranged to give an expression for the molar volume of an ideal gas:
- .
