# 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).

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#### Timur

Created: 2018-09-11 04:06:41, Last updated: 2021-09-30 12:13:56

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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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