Ideal Gas Law Calculator

Fill in three of pressure, volume, moles and temperature, and leave one blank.

kPa

Leave blank to solve for pressure. 101.325 kPa is one atmosphere.

L
mol
°C

Leave blank to solve for temperature.

This result is an estimate only. Double-check important figures before relying on them.

How it is calculated

  • PV = nRT with R = 8.314462618 kPa·L ÷ (mol·K)
  • Temperature in kelvin = °C + 273.15
  • The calculator rearranges the formula for the value you leave blank

To convert pressure units, use the pressure converter.

Worked example

1 mol of gas at 0 °C and 101.325 kPa:

  • V = nRT ÷ P = 22.414 L, the molar volume at standard temperature and pressure

Why your number may differ

Real gases are not ideal, especially at high pressure. Some books use 0 °C and 100 kPa for standard conditions, giving 22.711 L.

Frequently asked questions

What is the ideal gas law?

PV = nRT, where P is pressure, V volume, n the amount of gas in moles, R the gas constant and T the absolute temperature in kelvin.

Which units does it use?

Pressure in kPa, volume in litres and temperature in °C (converted to kelvin inside). With these, R is 8.314 kPa·L/(mol·K).

When does the law work well?

For gases at moderate pressures and well above their boiling point. At high pressure or low temperature real gases depart from it.