🎓 Chemistry • Gas Laws
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Boyle’s Law Calculator (P₁V₁ = P₂V₂)
Calculates pressure and volume changes for an ideal gas at constant temperature using Boyle’s Law.
Interactive Gas Cylinder & Piston Chamber
Boyle’s Law (Isothermal: T = Constant) : P₁ · V₁ = P₂ · V₂
Resulting Volume (V₂)
2.5 Liters
Inverse Pressure-Volume Relationship
$V_2 = \frac{P_1 \times V_1}{P_2} = \frac{2 \times 5}{4} = 2.500\text{ L}$
What is Boyle’s Law?
Boyle’s Law states that at constant temperature, the volume of a fixed mass of gas is inversely proportional to its pressure.
Formula & Step-by-Step Calculation
P₁ × V₁ = P₂ × V₂
Initial pressure and volume equals final pressure and volume.
Worked Step-by-Step Examples
Example 1
Gas at 2 atm and 5 L compressed to 4 atm at constant temperature
Solution: Final Volume V₂ = 2.50 Liters
• (2 × 5) / 4 = 2.5 L
Common Real-World & Academic Use Cases
- ✓ Scuba diving lung overexpansion safety
- ✓ Bicycle pump compression
- ✓ Syringe mechanics
How to Use the Boyle’s Law Calculator (P₁V₁ = P₂V₂)
1
Input Initial P₁ & V₁
Enter initial pressure and volume.
2
Input Final P₂
Enter target pressure.
3
Read Final V₂
Inspect resulting volume.
Frequently Asked Questions
Q: What remains constant in Boyle's Law?
Temperature (isothermal conditions) and the number of gas moles.