Gay-Lussac's Law Calculator Formula

Understand the math behind the gay-lussac's law calculator. Each variable explained with a worked example.

Formulas Used

Final Pressure

p2 = p1 * t2 / t1

Variables

VariableDescriptionDefault
p1Initial Pressure(atm)1
t1Initial Temperature(K)300
t2Final Temperature(K)450

How It Works

Gay-Lussac's Law

At constant volume, the pressure of a gas is directly proportional to its absolute temperature.

Formula

P1 / T1 = P2 / T2

Heating a gas in a rigid container increases its pressure.

Worked Example

A sealed container at 1 atm and 300 K heated to 450 K.

p1 = 1t1 = 300t2 = 450
  1. 01P1/T1 = P2/T2
  2. 02P2 = P1 * T2 / T1
  3. 03P2 = 1 * 450 / 300
  4. 04P2 = 1.5 atm

Ready to run the numbers?

Open Gay-Lussac's Law Calculator