🎓 Chemistry • Gas Laws
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Combined Gas Law Calculator
Solves the combined gas equation (P1·V1)/T1 = (P2·V2)/T2 for simultaneous state transitions.
Interactive Gas Cylinder & Piston Chamber
Combined Gas Law : (P₁ · V₁) / T₁ = (P₂ · V₂) / T₂
Final Gas Volume (V₂)
5.092 Liters
Combined Thermodynamic State Transformation
$V_2 = \frac{P_1 \times V_1 \times T_2}{P_2 \times T_1} = \frac{1 \times 10 \times 373.1}{2.5 \times 293.1} = 5.092\text{ L}$
What is the Combined Gas Law?
The Combined Gas Law combines Boyle's, Charles's, and Gay-Lussac's laws into a single unified equation for a fixed mass of gas.
Formula & Step-by-Step Calculation
(P₁ × V₁) / T₁ = (P₂ × V₂) / T₂
Conserves state ratio P·V / T.
Worked Step-by-Step Examples
Example 1
10 L gas at 1 atm and 20°C compressed to 2.5 atm and heated to 100°C
Solution: Final Volume V₂ = 5.09 Liters
• (1 × 10 × 373.15) / (2.5 × 293.15) = 5.09 L
Common Real-World & Academic Use Cases
- ✓ Internal combustion engine cylinder compression
- ✓ High altitude aircraft cabin pressurization
- ✓ Meteorological air parcel ascent
How to Use the Combined Gas Law Calculator
1
Enter Initial State
Input P₁, V₁, and T₁.
2
Enter Final Conditions
Input P₂ and T₂.
3
Read Final Volume
Inspect resulting volume V₂.
Frequently Asked Questions
Q: Can the Combined Gas Law be used when moles change?
No, the combined gas law assumes a sealed container with a constant number of gas moles.