Free Combined Gas Law Calculator

Calculate the final pressure, volume, or temperature of a gas when conditions change using the combined gas law P₁V₁/T₁ = P₂V₂/T₂.

atm
L
K
atm
K

Final Volume (V₂)

5.833 L

Final Volume (V₂) vs Initial Pressure (P₁)

Combined Gas Law

Formula

P₁V₁ / T₁ = P₂V₂ / T₂

Solving for V₂: V₂ = (P₁V₁T₂) / (T₁P₂)

This combines Boyle's law (P ∝ 1/V), Charles's law (V ∝ T), and Gay-Lussac's law (P ∝ T) into one equation for a fixed amount of gas.

Example Calculation

A gas at 1 atm, 10 L, 300 K is compressed to 2 atm and heated to 350 K.

  1. 01V₂ = (P₁V₁T₂) / (T₁P₂)
  2. 02V₂ = (1 × 10 × 350) / (300 × 2)
  3. 03V₂ = 3500 / 600
  4. 04V₂ = 5.833 L

Frequently Asked Questions

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