Gay-Lussac's Law Calculator (P₁/T₁=P₂/T₂)
In an isochoric process, gas pressure is proportional to absolute temperature: given any three of the initial/final pressure/temperature, solve the fourth (volume constant).
Key points
Gay-Lussac's Law Calculator (P₁/T₁=P₂/T₂): In an isochoric process, gas pressure is proportional to absolute temperature: given any three of the initial/final pressure/temperature, solve the fourth (volume constant). Formula: P₁/T₁ = P₂/T₂ (isochoric process, V constant). Enter parameters on the DD-CAT IDE online tool page to get results instantly, with a calculation-model diagram that updates with the inputs. Gay-Lussac's law: at constant volume, the pressure of a fixed amount of gas is proportional to absolute temperature (P₁/T₁ = P₂/T₂). Heating of sealed vessels (tanks, gas cylinders) follows this law; guard against over-pressure as temperature rises.
Inputs
P₁/T₁ = P₂/T₂ (isochoric process, V constant)Calculation model (updates with parameters)
| Final pressure P₂ | 202.7 kPaPa | P₂ = P₁·T₂ / T₁ |
| Final pressure (input unit) | 203000Pa | |
| P/T ratio (constant) | 371Pa/K | P/T stays constant in an isochoric process |
Engineering notes
- Gay-Lussac's law: at constant volume, the pressure of a fixed amount of gas is proportional to absolute temperature (P₁/T₁ = P₂/T₂).
- Heating of sealed vessels (tanks, gas cylinders) follows this law; guard against over-pressure as temperature rises.
- In an isochoric process the gas does no work, and all heat becomes internal energy (Q = ΔU = nCvΔT).
FAQ
- What is Gay-Lussac's Law Calculator (P₁/T₁=P₂/T₂) for?
- In an isochoric process, gas pressure is proportional to absolute temperature: given any three of the initial/final pressure/temperature, solve the fourth (volume constant).
- What is the formula for Gay-Lussac's Law Calculator (P₁/T₁=P₂/T₂)?
- Core formula: P₁/T₁ = P₂/T₂ (isochoric process, V constant). The tool returns results instantly using this formula and the selected parameters.
- What engineering notes should I keep in mind when using Gay-Lussac's Law Calculator (P₁/T₁=P₂/T₂)?
- Gay-Lussac's law: at constant volume, the pressure of a fixed amount of gas is proportional to absolute temperature (P₁/T₁ = P₂/T₂). Heating of sealed vessels (tanks, gas cylinders) follows this law; guard against over-pressure as temperature rises. In an isochoric process the gas does no work, and all heat becomes internal energy (Q = ΔU = nCvΔT).