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Solve for pressure, volume, moles, or temperature using the ideal gas law (PV = nRT).

How It Works

How Ideal Gas Law Calculator Works

The ideal gas law relates four properties of a gas — pressure, volume, amount (moles), and temperature — through a single equation using the universal gas constant R. Enter any three known values and the calculator solves for the missing fourth.

Real-World Use Cases

Who Uses Ideal Gas Law Calculator and Why

  • Solving for an unknown gas property (pressure, volume, moles, or temperature) when the other three are known, for a chemistry problem.
  • Checking how a gas's pressure or volume would change if temperature or amount changes, using the same underlying equation.
  • Working through a chemistry coursework problem involving the ideal gas law (PV = nRT).
  • Estimating gas behavior under standard conditions before a lab experiment.
Common Mistakes

Mistakes to Avoid

  • Mixing non-SI units into the calculation — the formula expects pressure in pascals, volume in cubic meters, amount in moles, and temperature in kelvin, since the gas constant R = 8.314 J/(mol·K) is defined for that specific unit set.
  • Entering temperature in Celsius or Fahrenheit instead of converting to kelvin first — since the ideal gas law uses absolute temperature, an unconverted Celsius value produces a significantly wrong result.
  • Applying the ideal gas law to conditions of very high pressure or very low temperature, where real gas behavior diverges meaningfully from the idealized model this formula assumes.
Pro Tips

Tips for Best Results

  • Convert temperature to kelvin (°C + 273.15) before entering it — this is the single most common source of error in gas law calculations.
  • This model is a close approximation for most gases under normal temperature and pressure, but becomes less accurate approaching extreme conditions, where real gas effects (like intermolecular forces and finite molecule size) matter more.
Troubleshooting

Fixing Common Problems

My result doesn't match an expected value from a textbook problem. — Check that temperature was converted to kelvin and that pressure/volume are in the expected SI units (pascals, cubic meters) — an unconverted Celsius or Fahrenheit temperature is the most common source of a badly wrong result here.

Glossary

Terms Explained

Ideal gas law: The equation PV = nRT relating a gas's pressure, volume, amount (moles), and temperature through the universal gas constant R.

Gas constant (R): A physical constant, 8.314 J/(mol·K) in SI units, that relates the four variables in the ideal gas law.

FAQ

Frequently Asked Questions

What units does this expect?
Pressure in pascals, volume in cubic meters, amount in moles, and temperature in kelvin — using the SI unit set keeps the gas constant R = 8.314 J/(mol·K) consistent throughout the calculation.
Does this work for real gases too?
It's an approximation that works well for most gases under normal temperature and pressure conditions, but becomes less accurate at very high pressure or very low temperature, where real gas behavior diverges from the idealized model.