Chemistry

Gay-Lussac's Law Calculator (P₁/T₁ = P₂/T₂)

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Gay-Lussac's Law Calculator (P₁/T₁ = P₂/T₂) by TheCalcTools

How the Gay-Lussac's Law Calculator (P₁/T₁ = P₂/T₂) works

At constant volume, the pressure of a gas is proportional to its absolute temperature. This is why tyre pressure rises on a hot day or after driving.

Temperatures are converted to kelvin inside the formula.

The formula

P₁ ÷ T₁ = P₂ ÷ T₂ at constant volume (T in kelvin)

Worked example

Using the default values shown in the calculator:

Solve forFinal pressure P₂
Temperatures in°C
Initial pressure P₁2.2
Initial temperature T₁20
Final pressure P₂2.5
Final temperature T₂60
  1. Using the default values: P₂ = 2.50019.

Result:

AnswerP₂ = 2.50019

Frequently asked questions

Why does a sealed can explode in a fire?

The volume is fixed, so heating raises the pressure in proportion to the absolute temperature until the can fails.

Sources and further reading

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