⚛️ Science

Ideal Gas Law Calculator

Solve PV = nRT for pressure given moles, temperature and volume.

mol
K
L

Results

Pressure
110,667.72 Pa
In atm
1.09221 atm

📊 Ideal Gas Law Calculator chart

How the pressure changes as the volume varies. The orange dot marks your current value.

What is the Ideal Gas Law Calculator?

Solve PV = nRT for pressure given moles, temperature and volume. PV = nRT links pressure, volume, temperature and amount of gas, a cornerstone of chemistry, engineering and weather science.

Ideal Gas Law Calculator – free online science tool illustration
Ideal Gas Law Calculator — free, exact and private.

How to use the Ideal Gas Law Calculator

  1. Enter your amount, your temperature, your volume.
  2. Results update automatically as you type; you can also press Calculate.
  3. Read the output: pressure, in atm.
  4. Use the 📊 chart to see the result visually, then copy or share it.

Formula and method

P = nRT ÷ V, R = 8.314462618 J/(mol·K)

Worked example

With amount = 1 mol, temperature = 298.15 K, volume = 22.4 L, the Ideal Gas Law Calculator returns pressure: 110,667.72 Pa; in atm: 1.09221 atm.

Where the Ideal Gas Law Calculator helps in real life

A chemistry student needs the pressure of 2 moles of gas in a 10-liter container at 25 °C. The calculator converts the temperature to kelvin and applies the gas constant to give the answer.

An engineer estimates how much the pressure in a sealed tank will rise on a hot day. Running the calculation at two temperatures shows the change.

Common mistakes to avoid

  • Using degrees Celsius instead of kelvin.
  • Pairing liters with a value of R meant for cubic meters.
  • Applying the ideal gas law at very high pressures or very low temperatures.
  • Mixing gauge pressure with absolute pressure.

💡 Practical tip: Temperature must be in kelvin — entering 25 instead of 298 gives an answer more than ten times too small.

Illustration: a science lab bench with flasks and a monitor showing a graph
Ideal Gas Law Calculator in everyday work — illustration.

Tips for better results

  • Add 273.15 to a Celsius temperature to get kelvin.
  • Check that the units of R match your inputs.
  • Treat results as approximations for real gases under extreme conditions.

Frequently asked questions

What does the Ideal Gas Law Calculator do?

Solve PV = nRT for pressure given moles, temperature and volume.

How is it calculated?

The Ideal Gas Law Calculator uses this method: P = nRT ÷ V, R = 8.314462618 J/(mol·K).

Can you show an example?

With amount = 1 mol, temperature = 298.15 K, volume = 22.4 L, the Ideal Gas Law Calculator returns pressure: 110,667.72 Pa; in atm: 1.09221 atm.

Is the Ideal Gas Law Calculator accurate?

Yes. It uses standard formulas and exact constants, and the results are verified by our automated test suite. Values are displayed to up to 12 significant digits.

Is this tool free and private?

Yes — the Ideal Gas Law Calculator is completely free with no sign-up, and it runs entirely in your browser, so the values you enter are never uploaded to our servers.

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