Gay-Lussac Law Calculator
Calculate pressure and temperature changes at constant volume using Gay-Lussac law (P₁/T₁ = P₂/T₂) with Kelvin and Celsius units.
What Is Gay-Lussac's Law?
Gay-Lussac's law (also called the pressure law) describes how the pressure of a gas changes with temperature when volume and amount of gas stay constant. Pressure and absolute temperature are directly proportional: heating a sealed container raises its internal pressure.
Gay-Lussac's Law Formula
P₁ / T₁ = P₂ / T₂
\(P_1\) and \(T_1\) are initial pressure and absolute temperature; \(P_2\) and \(T_2\) are final values. Temperature must be in Kelvin (K = °C + 273.15). Doubling absolute temperature doubles pressure at constant volume.
Example: a gas at 100 kPa and 27°C (300.15 K) heated to 127°C (400.15 K) reaches \(P_2 = 100 \times 400.15 / 300.15 \approx 133.3\) kPa.
Related Tools
For other gas laws, try the Boyle's Law Calculator and Ideal Gas Law Calculator.
Frequently Asked Questions
What conditions must hold for Gay-Lussac's law?
Volume and amount of gas (mass or moles) must stay constant. The process is called isochoric (constant volume).
Why must temperature be in Kelvin?
Gay-Lussac's law uses absolute temperature. Celsius has a zero offset, so 0°C is not absolute zero. Always convert: K = °C + 273.15.
Can I solve for any of the four variables?
Yes. Enter three known values and select which variable to find. The calculator rearranges P₁/T₁ = P₂/T₂ automatically.
What happens when temperature doubles in Kelvin?
Pressure doubles at constant volume, because P is directly proportional to absolute temperature.
How is this different from Boyle's law?
Boyle's law relates pressure and volume at constant temperature (P₁V₁ = P₂V₂). Gay-Lussac's law relates pressure and temperature at constant volume.
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