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📊 Boyle's Law Calculator

Pressure-Volume relationship at constant temperature: P₁V₁ = P₂V₂

Boyle's Law Calculator

Initial State:

Final State:

Interactive P-V Graph

📈

P-V curve will appear here

after calculation

Graph Features:

• Shows inverse relationship between P and V

• Hyperbolic curve (PV = constant)

• Interactive points showing initial and final states

Boyle's Law Reference Guide

Boyle's Law:

P₁V₁ = P₂V₂

At constant temperature and amount of gas

Key Principles:

  • Inverse relationship: As pressure increases, volume decreases
  • Constant temperature: Law only applies when T is constant
  • Fixed amount of gas: Number of moles must remain constant
  • Ideal gas assumption: Works best for gases at low pressure

Real-World Applications:

Breathing:

Diaphragm changes lung volume, creating pressure differences for air flow

Syringes:

Pulling plunger increases volume, decreases pressure, draws liquid

Scuba Diving:

Air tank volume compressed at depth due to increased pressure

Car Engines:

Piston compression increases pressure for efficient combustion

Mathematical Relationships:

Direct calculation: P₂ = P₁V₁/V₂ or V₂ = P₁V₁/P₂

Proportionality: P ∝ 1/V (pressure inversely proportional to volume)

Work done: W = ∫PdV = nRT ln(V₂/V₁) for isothermal process

Compressibility: Higher pressure = greater compression