# Convert moles to liters and liters to moles

This online calculator converts moles to liters of gas and liters of gas to moles at STP (standard temperature and pressure).

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 $\frac{V}{n}=\frac{RT}{P}$. The relation $\frac{V}{n}$ is the molar volume $V_m$.

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 $n=\frac{V}{V_m}$ to convert liters to moles and $V=n*V_m$ to convert moles to liters, where $V_m$ is 22.413962

#### Convert moles to liters and liters to moles

Gas quantity, moles

Gas volume

Digits after the decimal point: 1

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