← Home

🌡️ Charles's Law Calculator

Volume-Temperature relationship at constant pressure: V₁/T₁ = V₂/T₂

Charles's Law Calculator

Initial State:

Final State:

Interactive V-T Graph

📊

V-T line will appear here

after calculation

Graph Features:

• Shows direct linear relationship between V and T

• Straight line passing through absolute zero

• Interactive points showing initial and final states

Charles's Law Reference Guide

Charles's Law:

V₁/T₁ = V₂/T₂

At constant pressure and amount of gas

V ∝ T (absolute temperature)

Key Principles:

  • Direct relationship: As temperature increases, volume increases
  • Constant pressure: Law only applies when P is constant
  • Absolute temperature: Must use Kelvin scale (T in K)
  • Linear relationship: V vs T graph is a straight line
  • Absolute zero: Volume would theoretically be zero at 0 K

Real-World Applications:

Hot Air Balloons:

Heating air increases volume, decreases density, creates lift

Weather Patterns:

Atmospheric temperature changes affect air mass volumes

Thermal Expansion:

Gases in containers expand when heated, contract when cooled

Engine Performance:

Cold air is denser, providing better combustion efficiency

Temperature Scales:

Kelvin (K): Absolute temperature scale, starts at absolute zero

Celsius (°C): K = °C + 273.15

Fahrenheit (°F): K = (°F + 459.67) × 5/9

Absolute zero: 0 K = -273.15°C = -459.67°F

Important: Charles's Law only works with absolute temperature!

Mathematical Relationships:

Direct calculation: V₂ = V₁T₂/T₁ or T₂ = V₂T₁/V₁

Proportionality: V/T = constant (at constant P, n)

Slope: ΔV/ΔT = constant for isobaric process

Coefficient of expansion: β = (1/V)(∂V/∂T)ₚ = 1/T