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Ideal Gas Temperature from State & Moles

Find ideal-gas temperature from the pressure-volume-temperature relation, with optional gas mass and molar mass to determine moles.

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Calculator inputs

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How to use this calculator

  1. Enter the known values in the units shown. Results update as you type.
  2. Where results are editable, change one to solve backwards. Lock a value to hold it fixed.
  3. 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 occupying 1 m³ at 2,494.338785 Pa has an ideal-gas temperature of 300 K, or 26.85 °C.

pV = nRT; absolute temperature = °C + 273.15; moles = gas mass / molar mass

Worked example

Enter these known values and leave the other values blank.

Absolute pressure
2494.338785445972 Pa
Volume (V)
1 m³
Amount of gas (mol)
1 mol
Gas temperature
26.85 °C

Assumptions and limitations

  • The gas is modeled as ideal, with pV = nRT and R = 8.31446261815324 J/(mol·K). Real-gas interactions and phase changes are not modeled.
  • Pressure must be absolute, not gauge pressure. Volume, pressure and amount must be positive, and temperature must exceed absolute zero.
  • The selected temperature unit is converted consistently; the equation uses absolute kelvin even when the field displays Celsius or Fahrenheit.
  • Mass and molar mass are optional ways to determine the number of moles. Enter molar mass in the displayed mass-per-mole unit, not total sample mass.
  • The captured equations can solve for another missing state quantity when enough independent values are supplied. Overdetermined or inconsistent inputs do not establish a physical state.

Common questions

Can I enter gauge pressure?

Convert gauge pressure to absolute pressure using the relevant ambient pressure before entering it. The ideal-gas relation requires absolute pressure.

References

Bookify requires positive absolute pressure and volume and temperatures strictly above absolute zero for the ideal-gas 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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