Molar volume
Physical size  

Surname  Molar volume  
Formula symbol  

The molar volume or molar volume ( symbol : V _{m} ) of a substance indicates the volume of a mole of this substance . Its SI unit is m ^{3} / mol.
It results from the quotient of the volume V and the amount of substance n and can be calculated from the molar mass M and the density ρ of the corresponding substance.
It describes the volume that is filled by a total of 6.022 · 10 ^{23 } particles ( Avogadro's constant ) of a substance . The molar volume is an intensive quantity , while the volume itself is an extensive quantity .
For solids and liquids , the molar volume depends on the respective substance ( substance property ). The molar volume, like the (mass) specific volume, is a standardized volume.
Molar volume of the ideal gas
By rearranging the ideal gas equation one obtains for the molar volume of an ideal gas :
 ,
With
 R is the universal gas constant
 T is the temperature (K) and
 p is the pressure (kPa) .
The molar volume of an ideal gas is, according to the current measurement accuracy ( regardless of which gas is present in detail ):
conditions  pressure  temperature  Molar volume  annotation 

Physical standard conditions  101.325 kPa  0 ° C  22.413 969 54 ... 10 ^{−3} m ^{3} / mol  " Standard volume " 
Standard chemical conditions (IUPAC 1982)  100,000 kPa  0 ° C  22.710 954 64 ... 10 ^{−3} m ^{3} / mol  
SATP terms  101,300 kPa  25 ° C  24.471 441 56 ... 10 ^{−3} m ^{3} / mol. 
In the German standard DIN 1343, January 1990 edition, the molar standard volume of the ideal gas is still given with the older value of (22.414 962 ± 0.000 013) l / mol. The older value completely covers the younger one due to its greater uncertainty.
For real gases , the numbers from the ideal gas law only apply at low pressure and not too low temperatures.
See also
Individual evidence
 ↑ CODATA Recommended Values. National Institute of Standards and Technology, accessed July 30, 2019 . Value for the molar volume under standard conditions (273.15 Kelvin , 101.325 kPa ). The value is exact, but has an infinite number of decimal places in the decimal representation.
 ↑ CODATA Recommended Values. National Institute of Standards and Technology, accessed July 30, 2019 . Value for the molar volume at 273.15 Kelvin and 100 kPa . The value is exact, but has an infinite number of decimal places in the decimal representation.