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Ideal Gas Law Calculator (PV=nRT)

Ideal Gas Law Calculator (PV=nRT)

Result
V (L)P (atm)
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This calculator solves PV = nRT for whichever variable you need, e.g. 1 mole of gas at 273.15 K (0°C) in 22.4 L has a pressure of about 1 atm - the classic standard conditions (STP) result.

The ideal gas law PV = nRT relates a gas's pressure, volume, amount (moles), and temperature. Choose which variable to solve for, enter the other three, and this calculator computes the answer along with a pressure-volume curve showing how pressure changes with volume at your gas's current temperature and amount.

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  • PV = nRT uses the gas constant R = 0.082057 L·atm/(mol·K) when pressure is in atmospheres and volume is in liters.
  • At standard temperature and pressure (STP: 0°C, 1 atm), one mole of an ideal gas occupies almost exactly 22.4 liters - a widely used reference value in chemistry.
  • Temperature must always be in Kelvin for this equation - convert from Celsius by adding 273.15.

How do I use the ideal gas law PV=nRT?

Rearrange the equation to solve for whichever variable is unknown, making sure temperature is in Kelvin, pressure in atmospheres, and volume in liters.

What is the pressure of 1 mole of gas at 273.15 K in a 22.4 L container?

P = nRT / V = (1 × 0.082057 × 273.15) / 22.4 ≈ 1.0 atm - this is the standard "molar volume of a gas" result.