Science & Engineering

Ideal Gas Law Calculator

Solve pressure-volume-temperature relationships for an ideal gas from moles, absolute temperature, and volume. The calculator uses P × V = n × R × T. It returns more than one result so you can check the main answer against a useful secondary measure. Temperature must use an absolute scale and the gas constant must match the selected units. Real gases deviate from ideal behavior at high pressure, low temperature, and near phase changes.

Educational model only. Use applicable standards, calibrated measurements, and qualified review for safety-critical work.

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Calculate and compare

Use the number box for precision or the slider for fast scenario testing.

Scenario results

Pressure

101.326672 kPa

From nRT/V.

Molar volume

24.465 L/mol

Volume per mole.

PV product

2,478.95703 kPa·L

Equals nRT in the ideal model.

How the calculation works

Use consistent units and retain full precision until the final display step.

P × V = n × R × T
Amount of gas1 mol
Temperature298.15 K
Volume24.465 L
Gas constant8.314462618 kPa·L/(mol·K)

Worked example

Reproduce the displayed scenario, then change one assumption at a time.

1
Start with the displayed scenario
These values remain visible and editable, so the example can be reproduced.
Amount of gas: 1 mol; Temperature: 298.15 K
2
Apply the formula
Keep units consistent before substituting the inputs.
P × V = n × R × T
3
Check Pressure
From nRT/V.
101.326672 kPa

Assumptions behind the result

  • Inputs use the units shown beside each control.
  • The displayed formula is applied without hidden market or demographic data.
  • Rounding occurs only for display; calculations keep full numeric precision.
  • Temperature must use an absolute scale and the gas constant must match the selected units.
  • Real gases deviate from ideal behavior at high pressure, low temperature, and near phase changes.

Mistakes that change the answer

  • Mixing percentages with decimals or mixing incompatible units.
  • Relying on a rounded intermediate value instead of the full result.
  • Changing several assumptions at once instead of testing amount of gas separately.

Questions about ideal gas law calculator

What does the ideal gas law calculator calculate?
Solve pressure-volume-temperature relationships for an ideal gas from moles, absolute temperature, and volume.
Can I verify the result by hand?
Yes. Use P × V = n × R × T with the displayed inputs, then compare your answer with the first result card.
What is the main limitation?
Real gases deviate from ideal behavior at high pressure, low temperature, and near phase changes.

What to calculate next

Calculator methods and editorial structure reviewed July 11, 2026. Results are estimates; verify regulated rates, eligibility rules, and professional decisions with the cited primary source.

Important: Educational Purposes OnlyThe calculators, estimates, and financial formulas provided on CalculatorVillage.com are for informational and educational purposes only. They are not intended as certified financial planning, tax, legal, or investment advice. Actual rates, terms, and returns will vary. Always consult with a qualified professional before making significant financial decisions.