Boyle's Law Calculator
Calculate the relationship between pressure and volume of a gas at constant temperature using Boyle's Law (P₁V₁ = P₂V₂)
Initial Conditions
Final Conditions (Calculate One)
Calculation Results
Boyle's Law Equation
Calculation Steps
Your detailed calculation steps will appear here.
📚 Boyle's Law Explained
Boyle's Law states that the pressure of a given mass of an ideal gas is inversely proportional to its volume at a constant temperature.
Formula:
P₁V₁ = P₂V₂
Where:
- P₁ = Initial pressure
- V₁ = Initial volume
- P₂ = Final pressure
- V₂ = Final volume
Pressure-Volume Relationship
This graph shows the inverse relationship between pressure and volume at constant temperature.
🌍 Real-World Applications
Medical Syringes
When you pull back a syringe plunger, you increase volume and decrease pressure, allowing fluid to be drawn in.
Balloons
As balloons rise in the atmosphere, decreasing external pressure causes them to expand (volume increases).
Scuba Diving
Air in divers' lungs expands as they ascend (pressure decreases), requiring controlled exhalation.
Automobile Engines
Piston engines use Boyle's Law principles in their compression and expansion cycles.
Soda Bottles
Opening a soda bottle releases pressure, allowing dissolved CO₂ to expand and form bubbles.
Breathing
Your diaphragm creates pressure changes that expand/contract your lungs according to Boyle's Law.
Note: This calculator assumes ideal gas behavior and constant temperature. Real gases may show slight deviations from these calculations.