Gay-Lussac’s Law Calculator

Calculate Gay-Lussac's Law Parameters
Select Answer Mode	P1 T1 P2 T2
P1 [?]
⟳ Select pressure unit bars (bar) pounds/sq inch (psi) kilograms/sq cm (kg/cm²) millibars (mbar) pascals (Pa) kilopascals (kPa) megapascals (MPa) metres of water (mH₂O 4°C) inches of water (inH₂O 4°C) feet of water (ftH₂O 4°C) mm of mercury (mmHg 0°C) inches of mercury (inHg 0°C) mm of water (mmH₂O 4°C) cm of water (cmH₂O 4°C) dm of water (dmH₂O 4°C) metres of water (mH₂O 4°C) inches of water (inH₂O 4°C) feet of water (ftH₂O 4°C) microns of mercury (µHg 0°C) mm of mercury (mmHg 0°C) cm of mercury (cmHg 0°C) inches of mercury (inHg 0°C) dynes/sq cm (dyn/cm²) newtons/sq metre (N/m²) newtons/sq mm (N/mm²) grams/sq cm (g/cm²) kilograms/sq cm (kg/cm²) ounces/sq inch (oz/in²) pounds/sq inch (psi) kilopounds/sq inch (ksi) tons/sq inch (tsi uk long) tons/sq inch (tsi us short) tons/sq foot (tsf us short) pounds/sq foot (psf) standard atmospheres (atm) technical atmospheres (at) torrs (Torr) millitorrs (mTorr) bars (bar) millibars (mbar) yoctopascals (yPa) zeptopascals (zPa) attopascals (aPa) femtopascals (fPa) picopascals (pPa) nanopascals (nPa) micropascals (µPa) millipascals (mPa) centipascals (cPa) decipascals (dPa) pascals (Pa) decapascals (daPa) hectopascals (hPa) kilopascals (kPa) megapascals (MPa) gigapascals (GPa) terapascals (TPa) petapascals (PPa) exapascals (EPa) zettapascals (ZPa) yottapascals (YPa) yoctobars (ybar) zeptobars (zbar) attobars (abar) femtobars (fbar) picobars (pbar) nanobars (nbar) microbars (µbar) millibars (mbar) centibars (cbar) decibars (dbar) bars (bar) decabars (dabar) hectobars (hbar) kilobars (kbar) megabars (Mbar) gigabars (Gbar) terabars (Tbar) petabars (Pbar) exabars (Ebar) zettabars (Zbar) yottabars (Ybar) yoctotorrs (yTorr) zeptotorrs (zTorr) attotorrs (aTorr) femtotorrs (fTorr) picotorrs (pTorr) nanotorrs (nTorr) microtorrs (µTorr) millitorrs (mTorr) centitorrs (cTorr) decitorrs (dTorr) torrs (Torr) decatorrs (daTorr) hectotorrs (hTorr) kilotorrs (kTorr) megatorrs (MTorr) gigatorrs (GTorr) teratorrs (TTorr) petatorrs (PTorr) exatorrs (ETorr) zettatorrs (ZTorr) yottatorrs (YTorr)
T1 [?]
⟳ Select temperature unit degrees Celsius (°C) degrees Fahrenheit (°F) kelvins (K) degrees Rankine (°R) yoctokelvins (yK) zeptokelvins (zK) attokelvins (aK) femtokelvins (fK) picokelvins (pK) nanokelvins (nK) microkelvins (µK) millikelvins (mK) centikelvins (cK) decikelvins (dK) kelvins (K) decakelvins (daK) hectokelvins (hK) kilokelvins (kK) megakelvins (MK) gigakelvins (GK) terakelvins (TK) petakelvins (PK) exakelvins (EK) zettakelvins (ZK) yottakelvins (YK)
P2 [?]
Select pressure unit bars (bar) pounds/sq inch (psi) kilograms/sq cm (kg/cm²) millibars (mbar) pascals (Pa) kilopascals (kPa) megapascals (MPa) metres of water (mH₂O 4°C) inches of water (inH₂O 4°C) feet of water (ftH₂O 4°C) mm of mercury (mmHg 0°C) inches of mercury (inHg 0°C) mm of water (mmH₂O 4°C) cm of water (cmH₂O 4°C) dm of water (dmH₂O 4°C) metres of water (mH₂O 4°C) inches of water (inH₂O 4°C) feet of water (ftH₂O 4°C) microns of mercury (µHg 0°C) mm of mercury (mmHg 0°C) cm of mercury (cmHg 0°C) inches of mercury (inHg 0°C) dynes/sq cm (dyn/cm²) newtons/sq metre (N/m²) newtons/sq mm (N/mm²) grams/sq cm (g/cm²) kilograms/sq cm (kg/cm²) ounces/sq inch (oz/in²) pounds/sq inch (psi) kilopounds/sq inch (ksi) tons/sq inch (tsi uk long) tons/sq inch (tsi us short) tons/sq foot (tsf us short) pounds/sq foot (psf) standard atmospheres (atm) technical atmospheres (at) torrs (Torr) millitorrs (mTorr) bars (bar) millibars (mbar) yoctopascals (yPa) zeptopascals (zPa) attopascals (aPa) femtopascals (fPa) picopascals (pPa) nanopascals (nPa) micropascals (µPa) millipascals (mPa) centipascals (cPa) decipascals (dPa) pascals (Pa) decapascals (daPa) hectopascals (hPa) kilopascals (kPa) megapascals (MPa) gigapascals (GPa) terapascals (TPa) petapascals (PPa) exapascals (EPa) zettapascals (ZPa) yottapascals (YPa) yoctobars (ybar) zeptobars (zbar) attobars (abar) femtobars (fbar) picobars (pbar) nanobars (nbar) microbars (µbar) millibars (mbar) centibars (cbar) decibars (dbar) bars (bar) decabars (dabar) hectobars (hbar) kilobars (kbar) megabars (Mbar) gigabars (Gbar) terabars (Tbar) petabars (Pbar) exabars (Ebar) zettabars (Zbar) yottabars (Ybar) yoctotorrs (yTorr) zeptotorrs (zTorr) attotorrs (aTorr) femtotorrs (fTorr) picotorrs (pTorr) nanotorrs (nTorr) microtorrs (µTorr) millitorrs (mTorr) centitorrs (cTorr) decitorrs (dTorr) torrs (Torr) decatorrs (daTorr) hectotorrs (hTorr) kilotorrs (kTorr) megatorrs (MTorr) gigatorrs (GTorr) teratorrs (TTorr) petatorrs (PTorr) exatorrs (ETorr) zettatorrs (ZTorr) yottatorrs (YTorr)
T2 [?]
Select temperature unit degrees Celsius (°C) degrees Fahrenheit (°F) kelvins (K) degrees Rankine (°R) yoctokelvins (yK) zeptokelvins (zK) attokelvins (aK) femtokelvins (fK) picokelvins (pK) nanokelvins (nK) microkelvins (µK) millikelvins (mK) centikelvins (cK) decikelvins (dK) kelvins (K) decakelvins (daK) hectokelvins (hK) kilokelvins (kK) megakelvins (MK) gigakelvins (GK) terakelvins (TK) petakelvins (PK) exakelvins (EK) zettakelvins (ZK) yottakelvins (YK)

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User Guide

This tool will calculate any parameter from the equation defined by Gay-Lussac’s law, which includes  the P₁ gas pressure, T₁ gas temperature, P₂ gas pressure and T₂ gas temperature.

Avogadro’s law states that the absolute pressure of an ideal gas will vary in direct proportion to the variation in absolute temperature of the gas. For an ideal gas, the pressure of the gas is directly proportional to the temperature of the gas, as long as the volume and amount of gas remains constant.

Formulas

Gay Lussac’s Law is explained with math in the following ways.

The pressure of an ideal gas is proportional to the temperature of the gas:

P ∝ T

The pressure divided by the temperature of the gas in a given state, equals a constant value:

P / T = Constant

The division of pressure by the temperature of the ideal gas in one state, equals the division of pressure by the temperature of the ideal gas in another state, as long as the gas volume and amount of gas do not change between the two states.

P₁ / T₁ = P₂ / T₂

The formulas used by this Gay-Lussac’s law calculator to determine each individual parameter are:

P₁ = P₂ · T₁ / T₂

T₁ = T₂ · P₁ / P₂

P₂ = P₁ · T₂ / T₁

T₂ = T₁ · P₂ / P₁

Symbols

• P₁ = Pressure of the first gas state
• T₁ = Temperature of the first gas state
• P₂ = Pressure of the second gas state
• T₂ = Temperature of the second gas state

P₁

This is the absolute pressure of the first gas state.

T₁

This is the temperature of the first gas state.

P₂

This is the absolute pressure of the second gas state.

T₂

This is the temperature of the second gas state.

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