Enter any three of Initial Pressure (P₁), Initial Temperature (T₁), Final Pressure (P₂), or Final Temperature (T₂) into the Gay-Lussac's Law Calculator, choose your pressure and temperature units, and it solves for the missing value while showing the Pressure Ratio, Temperature Ratio, and a Law Verification result.
Calculated Value
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Pressure Ratio (P₁/P₂)
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Temperature Ratio (T₁/T₂)
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Law Verification (P₁/T₁ = P₂/T₂)
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Gay-Lussac's law, also known as the pressure law, states that the pressure of a gas is directly proportional to its absolute temperature when volume and amount of gas remain constant. The formula is P₁/T₁ = P₂/T₂.
Use the formula P₁/T₁ = P₂/T₂. Enter three known values (initial pressure, initial temperature, and either final pressure or final temperature), then solve for the unknown variable. Always use absolute temperature scales like Kelvin.
Common examples include pressure cookers (pressure increases with temperature), car tires heating up while driving, aerosol cans warming up, and gas cylinders exposed to different temperatures.
When pressure decreases at constant volume, temperature must also decrease to maintain the proportional relationship described by Gay-Lussac's law. This occurs because kinetic energy of gas molecules is directly related to both pressure and temperature.
Always use absolute temperature scales like Kelvin (K) or Rankine (°R) for accurate calculations. Celsius and Fahrenheit can be used if properly converted to absolute scales in the calculation.
Yes, according to Gay-Lussac's law, pressure increases proportionally with absolute temperature when volume remains constant. This is why sealed containers can explode when heated.
Gay-Lussac's law only applies when volume remains constant. If volume changes, you need to use the combined gas law or ideal gas law which accounts for pressure, volume, and temperature changes simultaneously.