The moles to liters/liters to moles conversion is straightforward and is based on the fact that the ideal gas equation is a good approximation for many common gases at standard temperature and pressure. Thus, we can rearrange terms in the ideal gas equation and write them like this . The relation is the molar volume .
Hence, for a given temperature and pressure, the molar volume is the same for all ideal gases and is known to the same precision as the gas constant: R = 0.082 057 338(47) L atm K−1 mol−1, that is a relative standard uncertainty of 5.7×10−7, according to the 2014 CODATA recommended value1
The molar volume of an ideal gas at standard temperature and pressure (273.15 K, 101.325 kPa) is 22.413 962 x 10-3 m3 mol-1 with a standard uncertainty of 0.000013 x 10-3 m3 mol-12
The calculator below uses the formula to convert liters to moles and to convert moles to liters, where is 22.413962