Ideal Gas Law

Also known as PV = nRT · general gas equation · perfect gas law

P V = n R T

P =

V =

n =

T =

Enter your known values, leave one input blank, and solves for the missing one. Try different units for next level excitement!

Constant used — built into this formula, no need to enter

R = 8.31446261815324\ \text{J/(mol}{\cdot}\text{K)}

Molar gas constant · exact

Learning zone

The ideal gas law merges Boyle's, Charles's, and Avogadro's laws into one equation with a single constant, R = 8.314 J/(mol·K). Temperature must be absolute (kelvin) — formula.expert converts your °C or °F input automatically. At 0 °C and 1 atm, one mole of ideal gas occupies 22.4 L, the classic molar volume from chemistry class.

Ideal Gas Law

P V = n R T

Where

$P$ = Pressure
$V$ = Volume
$n$ = Amount
$T$ = Temperature

Missing one of these? Work it out first, then come back

Pressure — Gas Density from Molar Mass, Pressure (P = F/A)
Volume — Density, Sphere Volume
Amount — Moles from Mass (n = m/M), Molarity (C = n/V)
Temperature — Gas Density from Molar Mass, Osmotic Pressure (Π = MRT)

Part of this formula set

The gas laws

5 formulasBoyle, Charles, Gay-Lussac, the combined law and the ideal gas law — each holding one property fixed, and how they collapse into PV = nRT.