Ideal Gas Law Calculator: Solve P, V, n, or T

The ideal gas law calculator solves the most useful form of this physics relation without making you convert every unit by hand. Enter the known quantities, choose the units, and calculate.

It is designed as a checking tool, not a substitute for setting up the physics. Read the formula and model limit below before trusting a result.

Use the Ideal Gas Law Calculator

Ideal Gas Law Calculator

Use the ideal gas law calculator to solve pressure, volume, amount, or temperature. It converts each selected unit to SI before applying PV = nRT.

The selected field is ignored and recalculated.
Use absolute pressure.
The result uses this unit.
Enter a positive volume unless solving for it.
The result uses this unit.
Enter moles or millimoles.
The result uses this unit.
Temperature is converted to kelvin internally.
The result uses this unit.

Formula Used

\(PV=nRT\), with \(R=8.31446261815324\,\text{J mol}^{-1}\text{K}^{-1}\).

The underlying explanation, derivation, and limits are in my ideal gas law guide.

Worked Check

One mole at 298.15 K and 101.325 kPa occupies about 24.47 L in the ideal model.

A useful habit is to estimate the order of magnitude first. If the calculator disagrees by factors of 10, 100, or 1000, inspect the selected units before inspecting the algebra.

How To Read the Result

  • Keep significant figures realistic. A precise constant cannot repair rough input data.
  • Track the physical unit. A plausible number with the wrong unit is still wrong.
  • Check the limiting case. Increase or decrease one input and ask whether the direction of change makes physical sense.

Limits and Common Mistakes

Use absolute pressure and absolute temperature. The ideal model becomes unreliable at high density, low temperature, and near phase changes.

The numerical constants and reference relation were checked against OpenStax ideal gas law reference.

Frequently Asked Questions

What does this ideal gas law calculator calculate?

It applies \(PV=nRT\), with \(R=8.31446261815324\,\text{J mol}^{-1}\text{K}^{-1}\). and returns the converted quantities shown in the result panel.

Which units should I use?

Choose the unit beside each input. The calculator converts the value to SI internally before solving.

Why is my result different from a textbook answer?

Check rounding, unit conversions, the stated physical model, and whether the textbook used an approximation.

Can I use the result in an experiment or design?

Use it as a calculation check. Measurement uncertainty and model limits still need separate treatment.

Does the calculator store my inputs?

No. The calculation runs in your browser and the page does not send the entered values to a calculation service.

Use the result to check your setup, then write the substitution and unit conversion in your own solution. That is the part that shows whether the physics is understood.

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