Ideal Gas Law Calculator
Solve PV = nRT for pressure, volume, moles or temperature, with common units for each.
Answer
22.414 L
- In other units
- 22.414 L · 0.0224 m³ · 22,414 mL
Volume is nRT divided by the pressure.
Calculation breakdown
| Step | Formula | Result |
|---|---|---|
| Volume in cubic meters | 1 mol × R × 273.15 K ÷ 101,325 Pa | 0.022414 |
How it works
Choose what to find, then enter the other three values and pick your units.
Worked example
The volume of 1 mole of gas at 1 atm and 0 °C:
- Convert: 1 atm = 101,325 Pa and 0 °C = 273.15 K
- V = nRT ÷ P = 1 × 8.314462618 × 273.15 ÷ 101,325 = 0.022414 m³
- In liters: 22.414 L
Accuracy
Results are shown to six significant figures.
Sources
Frequently asked questions
What is the ideal gas law?
The ideal gas law is PV = nRT. Pressure times volume equals the amount of gas in moles times the gas constant times the absolute temperature. It describes gases at moderate pressure and temperature well.
What is the value of the gas constant R?
R is 8.314462618 joules per mole per kelvin. This value is exact since the 2019 SI redefinition. The calculator uses it to solve in pascals, cubic meters, moles and kelvins.
What is the volume of one mole of gas at standard conditions?
At 273.15 K and 101.325 kPa one mole of an ideal gas takes up 22.414 liters. The calculator's default shows this result.
Why must temperature be in kelvins?
The law needs an absolute temperature, which starts at zero kelvin. You can enter Celsius or Fahrenheit and the calculator converts it. A temperature at or below absolute zero is rejected.
When does the ideal gas law fail?
At high pressure or low temperature, real gases deviate because molecules take up space and attract each other. For those cases a real-gas equation such as van der Waals is better.