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Ideal Gas calculator

Ideal Gas Law

PV = nRT Β· Gas Properties Β· Thermodynamics

PV = nRT  |  R = 8.314 J/(molΒ·K)

About the Ideal Gas calculator

Solve the ideal gas equation in SI units: pressure in pascals, volume in cubic metres, amount in moles and temperature in kelvin.

How to use the Ideal Gas calculator

  1. Choose the unknown under Solve For.
  2. Enter Volume (mΒ³), Moles (mol), Temperature (K) and the Gas Constant (R), or the pressure.
  3. Press Calculate.

Formula and method

P V = n R T with R = 8.314 J/(molΒ·K).

Worked example

1 mol at 273.15 K in 0.022414 mΒ³ gives a pressure of about 101,325 Pa (1 atm).

One mole at 0 Β°C. At 273.15 K and 1 atm, one mole of an ideal gas occupies about 22.4 L.

When to use the Ideal Gas calculator

  • Finding pressure, volume, temperature or amount of gas in chemistry problems.
  • Checking gas laws in physics lessons.
  • Estimating gas behaviour at normal conditions.

Common mistakes to avoid

  • Using Celsius instead of Kelvin.
  • Using mismatched units for pressure and volume with a particular value of R.

Tips

  • 1 mΒ³ equals 1,000 litres.
  • Divide pascals by 101,325 to convert to atmospheres.

Frequently Asked Questions

At high pressure or very low temperature, where gas molecules interact and take up significant volume.
At high pressure and low temperature, where real gases deviate from ideal behaviour.
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