Molar Volume

n, V _m (1) The volume occupied by one mole of a substance. For an ideal gas, 22.4 Lmol^–1. (2) The molar volume, symbol V_m is the volume occupied by one mole of a substance (chemical element or chemical compound) at a given temperature and pressure. It is equal to the molar mass (M) divided by the mass density (ρ). It has the SI unit cubic meters per mole (m³/mol), and often practical to use the units cubic decimeters per mole (dm³/mol) for gases and cubic centimeters per mole (cm³/mol) for liquids and solids.

$$V_m = mole/\rho = m^3 /mole $$

For a mixture of components, the following expression exists,

$$V_m = \sum\limits_{i = 1}^N {XiMi} /\rho _{mix} $$

For gases the following expression is accepted,

$$V_m = V/n = {{RT} \over P}$$

For a given temperature (K) and pressure (atmospheres), the molar volume is the same for all ideal gases and is known to the same precision as the gas constant: R = 8.314 472(15) J mol–1 K^–1. The molar volume of an ideal gas at 100 kPa (1 bar) is

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