Boyle's Law Calculator
Calculate pressure and volume relationships in isothermal gas processes using Boyle's Law
Calculate Boyle's Law
Initial State
Final State
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Boyle's Law Results
Boyle's Law: P₁ × V₁ = P₂ × V₂ (at constant temperature)
Relationship: Pressure is inversely proportional to volume
Example: Gas Compression
Initial conditions:
Pressure: 100 kPa
Volume: 2 m³
After compression to 1 m³:
Final pressure: P₂ = (100 × 2) / 1 = 200 kPa
Volume is halved, pressure doubles
Pressure Units
Pa
Pascal
SI base unit
kPa
Kilopascal
Weather pressure
atm
Atmosphere
Standard pressure
bar
Bar
Meteorology
mmHg
Torr
Blood pressure
psi
PSI
Tire pressure
Real-World Applications
Breathing
Diaphragm changes lung volume
Volume ↑ → Pressure ↓ → Air flows in
Syringes
Plunger movement creates suction
Volume ↑ → Pressure ↓ → Fluid drawn
Scuba Diving
Air bubbles expand as diver ascends
Pressure ↓ → Volume ↑
Car Engines
Piston compression increases pressure
Volume ↓ → Pressure ↑
Understanding Boyle's Law
What is Boyle's Law?
Boyle's Law, also known as the Boyle-Mariotte Law, describes the relationship between pressure and volume of a gas at constant temperature. It states that the absolute pressure of a gas is inversely proportional to its volume.
Key Principles
- •Temperature must remain constant (isothermal process)
- •Amount of gas must remain constant
- •Pressure and volume are inversely related
- •Product P×V remains constant
Mathematical Formulation
P₁ × V₁ = P₂ × V₂
P ∝ 1/V (at constant T)
- P₁, P₂: Initial and final pressures
- V₁, V₂: Initial and final volumes
- T: Constant temperature
Remember: If volume doubles, pressure halves. If volume halves, pressure doubles.
Historical Context & Applications
Robert Boyle (1662)
Irish physicist who discovered the law using a J-shaped tube and mercury
Industrial Applications
Pneumatic systems, compressors, hydraulic presses, and automotive engines
Medical Applications
Ventilators, blood pressure measurements, and respiratory therapy