Ideal Gas Law (PV = nRT) Calculator

Solve PV = nRT for pressure, volume, amount or temperature: leave the unknown blank. Pressure is in atm, volume in litres and R = 0.08206 L·atm/mol·K.

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What it asks for

The formula

P V = n R T

Rearranged:   P = nRT/V  ·  V = nRT/P  ·  n = PV/RT  ·  T = PV/nR

From the article Ideal Gas Law PV = nRT — Units, R Values and Solved Problems.

Worked example

2.00 mol of a gas occupies 10.0 L at 300 K. Find the pressure in atm.

Units are litres and we want atm, so R = 0.0821 L atm K⁻¹ mol⁻¹.

P = nRT / V = (2.00 × 0.0821 × 300) ÷ 10.0
0.0821 × 300 = 24.63
24.63 × 2.00 = 49.26
P = 49.26 ÷ 10.0 = 4.93 atm

Worked in full in Ideal Gas Law PV = nRT — Units, R Values and Solved Problems.

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