Gay-Lussac's Law Calculator

Calculate Pressure-Temperature Relationships with Precision

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Final Pressure Calculator

Calculate final pressure when temperature changes at constant volume.

Final Pressure: - atm

Final Temperature Calculator

Calculate final temperature when pressure changes at constant volume.

Final Temperature: - K

Gay-Lussac's Law Verification

Verify if two pressure-temperature pairs follow Gay-Lussac's Law.

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Understanding Gay-Lussac's Law

What is Gay-Lussac's Law?

Gay-Lussac's Law states that at constant volume, the pressure of a fixed amount of gas is directly proportional to its absolute temperature. Mathematically:

P₁/T₁ = P₂/T₂

or

P ∝ T

Key Concepts

Important aspects of Gay-Lussac's Law:

  • Volume must remain constant
  • Temperature must be in Kelvin
  • Pressure and temperature are directly proportional
  • Zero pressure occurs at absolute zero
  • Applies to ideal gases

Historical Context

Gay-Lussac's contributions:

  • Discovered by Joseph Gay-Lussac in 1808
  • Built on Charles's work
  • Led to gas volume law
  • Influenced modern chemistry
  • Advanced understanding of gases

Real-World Applications

Gay-Lussac's Law is used in:

  • Pressure cookers
  • Aerosol cans
  • Gas cylinder safety
  • Industrial processes
  • Laboratory equipment
  • Fire extinguishers

Limitations and Assumptions

Gay-Lussac's Law assumes:

  • Constant volume
  • Ideal gas behavior
  • No chemical reactions
  • No phase changes
  • Closed system

Essential Gay-Lussac's Law Formulas

Basic Equation

P₁/T₁ = P₂/T₂

Final Pressure

P₂ = P₁(T₂/T₁)

Final Temperature

T₂ = T₁(P₂/P₁)