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Ideal Gas Law Calculator (PV = nRT)

Ideal gas law calculator — solve PV = nRT for any of P, V, n or T using R = 8.314 J/(mol·K).

Ideal Gas Law

P V = n R T (R = 8.314 J/(mol·K))

Solved P101388.19 Pa
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About this tool

The ideal gas law relates pressure, volume, moles and absolute temperature. This calculator solves for any one variable given the other three.

Formula

P · V = n · R · T,   R = 8.314462618 J/(mol·K)

Worked example

1 mol at 273.15 K and 101,325 Pa → V = nRT/P ≈ 0.02241 m³ = 22.41 L (one molar volume at STP).

Notes

The ideal gas approximation breaks down at high pressures or low temperatures. For real gases use the van der Waals equation or compressibility factors.