Free · Thermodynamics and heat calculators 🌡️
Ideal Gas Pressure, Volume, Amount and Gas Mass
Calculate ideal gas pressure, volume, amount and gas mass using known measurements, selectable units and clear physical assumptions.
- Formula & worked example
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Calculator inputs
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How to use this calculator
- Enter the known values in the units shown. Results update as you type.
- Where results are editable, change one to solve backwards. Lock a value to hold it fixed.
- Use the worked example to check the method. Reset restores the starting fields.
Private by default
Inputs and results stay in this browser tab. Bookify does not upload or store the values you enter.
Formula and method
One mole at 300 K in 1 m³ gives pressure 2494.338785445972 Pa.
pV = nRT; n = m/M
Worked example
Enter these known values and leave the other values blank.
- Volume (V)
- 1 m³
- Amount of substance (n)
- 1 mol
- Temperature (T)
- 26.85 °C
- Pressure (p)
- 2494.34 Pa
Assumptions and limitations
- Use absolute pressure and absolute temperature. The Celsius input is converted to Kelvin before pV = nRT; this ideal dilute-gas model does not describe condensation or dense real gases.
- Enter mutually consistent measurements and clear a quantity before inferring it. Calculations use 64 significant digits; the displayed result is rounded separately.
Common questions
Can mass replace the amount in moles?
Supply mass and molar mass to get n = m/M. A molar mass entered in g/mol is converted before dividing a mass in kg. The default universal gas constant is 8.31446261815324 J/(mol·K).
References
For a positive amount of an ideal gas, use positive absolute pressure, volume, Kelvin temperature and gas constant; zero pressure/volume/absolute temperature is outside this finite-state model. Mercury pressure columns use conventional density and standard gravity, with the exact international inch. Pounds-force per square inch use the exact international pound and inch with standard gravity, replacing the rounded captured factor. One technical atmosphere is exactly one kilogram-force per square centimeter under standard gravity. The US fluid ounce uses one 128th of the exact US liquid gallon, replacing the rounded captured reciprocal factor. The US customary cup uses one sixteenth of the exact US liquid gallon, replacing the rounded captured cup volume. Bookify replaces the captured rounded US gallon with the exact 3.785411784-liter definition.
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