ConstantID

Molar volume of ideal gas (273.15 K, 101.325 kPa)

Physico-chemicalExact

Vm = 22.413 969 54… × 10−3 m3 mol−1

Value
22.413 969 54… × 10−3 m3 mol−1
Standard uncertainty
exact
Relative uncertainty
exact
Status
Exact since the 2019 SI redefinition
Symbol
Vm
Source
CODATA 2022 via NIST · NIST entry

NIST prints this exact value cut to 10 digits. ConstantID recomputes it from the defining constants: 0.022 413 969 545 014 137 735 011 102 8868…

Use in a calculation

# molar volume of ideal gas (273.15 K, 101.325 kPa), CODATA 2022 (NIST)
molar_volume_of_ideal_gas_273_15_k_101_3 = 2.2413969545014137735011102886750555e-2  # m^3 mol^-1, exact

# SciPy: scipy.constants.physical_constants['molar volume of ideal gas (273.15 K, 101.325 kPa)']

What it is

The volume one mole of an ideal gas occupies at 0 °C and one standard atmosphere, about 22.4 litres, the number chemistry students learn. Real gases come close at these conditions.

It is built only from constants that have exact values since 20 May 2019, so it is exact too; CODATA 2018 was the first adjustment to list it that way.

Equations

  • Vm=RT0p0definition

How the value changed, 1998–2022

Each point is one CODATA adjustment, plotted as its difference from the 2022 value; the bars show one standard uncertainty (an arrowhead means the bar runs off the chart). Diamonds mark adjustments in which the value was exact.

molar volume of ideal gas (273.15 K, 101.325 kPa): CODATA values 1998–2022 relative to the 2022 value, in parts per billion, with one-standard-uncertainty bars−2000−10000+1000+2000parts per billion1998200220062010201420182022

Relative uncertainty

molar volume of ideal gas (273.15 K, 101.325 kPa): relative standard uncertainty in each CODATA adjustment, logarithmic scale10⁻⁷10⁻⁶10⁻⁵199820022006201020142018exact2022exact
CODATAValue (uncertainty)Relative uncertaintyChange from previous
202222.413 969 54… × 10−3exact exact
201822.413 969 54… × 10−3exact +0.6 σ of 2014
201422.413 962(13) × 10−35.8 × 10−7 −0.3 σ of 2010
201022.413 968(20) × 10−38.9 × 10−7 −0.7 σ of 2006
200622.413 996(39) × 10−31.7 × 10−6 +0.0 σ of 2002
200222.413 996(39) × 10−31.7 × 10−6 +0.0 σ of 1998
199822.413 996(39) × 10−31.7 × 10−6

“Change from previous” is the shift in the value divided by the standard uncertainty of the previous adjustment. Earlier values are converted into the current unit where NIST changed it (for example J s to J Hz⁻¹).

Related constants