Calculate moles from liters and molar volume, or solve for volume or molar volume, with L and mL unit options and calculation steps shown throughout.

Volume alone does not determine moles. Use a molar volume for the substance and conditions; gas suggestions assume ideal behavior.

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Liters To Moles Formula

The following formula is used to convert liters to moles for an ideal gas at 0°C and 1 atm:

n = V / VM

Variables:

  • n is the number of moles (mol)
  • V is the volume of the gas (liters)
  • VM is the molar volume of an ideal gas at 0°C and 1 atm (22.414 liters/mol)

To calculate the number of moles from the volume of a gas at STP, divide the volume by the molar volume of an ideal gas at 0°C and 1 atm.

Liters to Moles Conversion Table (Ideal Gas, 0°C and 1 atm: Vm = 22.414 L/mol)
Volume (L) Moles (mol)
0.0010.000045
0.0020.000089
0.0050.000223
0.0100.000446
0.0250.001115
0.0500.002231
0.0750.003346
0.1000.004462
0.1500.006692
0.2000.008923
0.2500.011154
0.3000.013385
0.5000.022308
0.7500.033461
1.0000.044615
1.5000.066923
2.0000.089230
3.0000.133845
5.0000.223075
10.0000.446150
*Assumes ideal gas at 0°C and 1 atm. Formula: moles = volume ÷ molar volume. Here, Vm = 22.414 L/mol.

What is the Molar Volume?

Molar volume is the volume per mole at the specified conditions. This article and conversion table use the older 0°C and 1 atmosphere convention, approximately 22.414 L/mol for an ideal gas. IUPAC standard conditions use 0°C and 1 bar, approximately 22.711 L/mol. Supply a molar volume appropriate to your substance and conditions; volume alone does not determine moles.

How to Calculate Moles from Liters?

The following steps outline how to calculate the number of moles from the volume of a gas at STP.

  1. First, determine the volume of the gas (V) in liters.
  2. Next, use the molar volume of an ideal gas at 0°C and 1 atm (VM), which is 22.414 liters/mol.
  3. Next, gather the formula from above = n = V / VM.
  4. Finally, calculate the number of moles (n).
  5. After inserting the variables and calculating the result, check your answer with the calculator above.

Example Problem : 

Use the following variables as an example problem to test your knowledge.

Volume of the gas (V) = 44.828 liters

Molar volume of an ideal gas at 0°C and 1 atm (VM) = 22.414 liters/mol

Number of moles (n) = ?

Using the formula, n = V / VM:

n = 44.828 / 22.414 = 2 moles