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Chemistry

Ideal Gas Law Calculator (PV = nRT)

Solve PV = nRT for P, V, n or T. Uses R = 0.08206 L·atm/(mol·K).

Result

Pressure (P)

1.0007 atm

Concept

The ideal gas law combines Boyle's Law (P ∝ 1/V), Charles's Law (V ∝ T) and Avogadro's Law (V ∝ n) into a single equation. It describes the behaviour of an ideal gas — one where particles have no volume and no intermolecular forces.

R = 8.314 J/(mol·K) is the universal gas constant. Temperatures must be in Kelvin (K = °C + 273.15). Pressures in Pa and volumes in m³ give energy in Joules directly.

Real gases deviate from ideal behaviour at high pressures and low temperatures — the Van der Waals equation adds correction terms for molecular volume and attractions.

Formula

P=nRTV
V=nRTP
n=PVRT
T=PVnR

Variables

PPa or atm
Absolute pressure of the gas.
Vm³ or L
Volume of the gas.
nmol
Amount of substance.
R8.314 J/(mol·K)
Universal gas constant.
TK
Absolute temperature — must be in Kelvin, not Celsius.