cm3mol

cm3/mol, written as cubic centimeters per mole, is a unit of molar volume. It expresses the volume occupied by one mole of a substance at a given state. The quantity has the dimension of volume per amount of substance, and is related to the liter per mole unit by the equivalence 1 L/mol = 1000 cm3/mol. In SI terms, 1 cm3/mol equals 1×10^-6 m3/mol.

In condensed phases (solids and liquids), molar volume can be calculated from the substance’s molar mass M and density ρ using V_m = M/ρ, yielding values typically in a few tens to hundreds of cm3/mol. For water, with M ≈ 18.015 g/mol and ρ ≈ 1.00 g/cm3, V_m is about 18 cm3/mol. For benzene, M ≈ 78.11 g/mol and ρ ≈ 0.879 g/cm3, giving V_m ≈ 89 cm3/mol.

In gases, molar volume is commonly discussed via the ideal gas law. At standard temperature and pressure (0 °C, 1 atm), V_m ≈ 22,414 cm3/mol (22.414 L/mol). At room temperature (about 20–25 °C), the ideal-gas value increases to roughly 24,000 cm3/mol (24–24.5 L/mol), depending on exact conditions. Real-gas behavior may deviate, especially at high pressure or low temperature, with the compressibility factor Z used to adjust V_m.

Notation varies slightly: cm3/mol is often used interchangeably with cm^3·mol^-1 or cm^3 per mole. While common in chemistry literature, the same concept may be expressed in m3/mol in SI contexts.