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Science & Engineering

Ideal Gas Law Calculator

Solve the ideal gas law PV = nRT for pressure, volume, moles or temperature.

Your inputs

Results

Volume

0.02241397 m³

In litres
22.41397 L

✓Exact calculation — rounded only for display

Notes for this result

  • R = 8.314462618 J/(mol·K). Real gases deviate from ideal behaviour at high pressure and low temperature.

What this calculator does

The ideal gas law relates the pressure, volume, amount and temperature of a gas. Enter three of them to find the fourth, using the exact SI value of the gas constant.

Formula and method

PV = nRT, with R = 8.314462618 J/(mol·K)

Worked example

Calculated by this tool with its default inputs:

Inputs

  • Solve for: Volume
  • Pressure: 101325 Pa
  • Amount of gas: 1 mol
  • Temperature: 273.15 K

Results

  • Volume: 0.02241397 m³
  • In litres: 22.41397 L

How to read the results

One mole at 0 °C and 1 atm occupies about 22.414 L.

Assumptions and limitations

  • Real gases deviate at high pressure or low temperature.
  • Use kelvin, pascals and cubic metres.

These are educational estimates. Electrical, structural and other safety-critical work must comply with local codes and be designed or checked by a qualified professional.

Questions

Why kelvin?

The law uses absolute temperature; 0 °C is 273.15 K.

Sources

Methodology and verification

Result type
Exact mathematical calculation (rounded only for display)
Formula version
1.0
Automated verification
3 reference and validation test cases, checked against independently computed values. The site cannot be built if any of them fail.
Editorial review
Awaiting human editorial review. The explanation was drafted with AI assistance; the formula and examples are verified by the automated tests above.

Privacy

Everything you enter is calculated in this browser and is not sent to Numerith or anyone else. Inputs are added to a share link only if you choose to include them. Privacy policy