Combined Gas Law Calculator Formula
Understand the math behind the combined gas law calculator. Each variable explained with a worked example.
Formulas Used
Final Volume (V₂)
v2 = (p1 * v1 * t2) / (t1 * p2)Variables
| Variable | Description | Default |
|---|---|---|
p1 | Initial Pressure (P₁)(atm) | 1 |
v1 | Initial Volume (V₁)(L) | 10 |
t1 | Initial Temperature (T₁)(K) | 300 |
p2 | Final Pressure (P₂)(atm) | 2 |
t2 | Final Temperature (T₂)(K) | 350 |
How It Works
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.
Worked Example
A gas at 1 atm, 10 L, 300 K is compressed to 2 atm and heated to 350 K.
p1 = 1v1 = 10t1 = 300p2 = 2t2 = 350
- 01V₂ = (P₁V₁T₂) / (T₁P₂)
- 02V₂ = (1 × 10 × 350) / (300 × 2)
- 03V₂ = 3500 / 600
- 04V₂ = 5.833 L
Ready to run the numbers?
Open Combined Gas Law Calculator