Gay-Lussac's Law (of temperature/pressure) Calculator

The Gay-Lussac's Law calculator computes the initial and final pressure and temperature of an ideal gas based on Gay-Lussac's formula (T₁•P₂=T₂•P₁).  The calculator automatically handles numerous temperature and pressure units.  All of these calculations presume the volume and mass of the ideal gas remains static throughout.  Gay-Lussac formula is:

T₁•P₂=T₂•P₁

where:

• (T₁) Initial Temperature
• (P₂) Final  Pressure
• (T₂) Final Temperature
• (P₁) Initial Pressure

The Math / Science

This calculator accesses the following equations from its four buttons:

Gay-Lussac Law (final temperature) - equation computing final temperature of an ideal gas given knowledge of the initial temperature/pressure state of the gas before a pressure change

Gay-Lussac Law (initial temperature) - equation computing initial temperature of an ideal gas given knowledge of the final temperature/pressure state of the gas after a pressure change

Gay-Lussac Law (final pressure) - equation computing resultant pressure of an ideal gas given knowledge of the initial temperature/pressure state of the gas before a temperature change

Gay-Lussac Law (initial pressure) - equation computing initial pressure of an ideal gas given knowledge of the final temperature/pressure state of the gas after a temperature change

Chemistry Calculators

• R - Gas Constant: 8.3144626181532 J/(K⋅mol)
• Boyle's Law Calculator:  P₁ • V₁ = P₂ • V₂
• Charles Law Calculator: V₁• T₂ = V₂ • T₁
• Combined Gas Law Calculator:   P•V / T= k
• Gay-Lussac Law:  T₁•P₂ =T₂•P₁ 
• Ideal Gas Law: P•V = n•R•T
• Bragg's Law:   n·λ = 2d·sinθ
• Hess' Law:  ΔH⁰_rxn=ΔH⁰_a+ΔH⁰_b+ΔH⁰_c+ΔH⁰_d
• Internal Energy: ΔU = q + ω 
• Activation Energy:  E_a = (R*T₁⋅T₂)/(T₁ - T₂) ⋅  ln(k₁/k₂)
• Arrhenius Equation:  k = Ae^E_a/(RT)
• Clausius-Clapeyron Equation:  ln(P₂/P₁) = (ΔH_vap)/R * (1/T₁ - 1/T₂)
• Compressibility Factor: Z = (p*V_m)/(R*T)
• Peng-Robinson Equation of State:  p = (R*T)/(V_m - b) - (a*α)/(V_m² + 2*b*V_m - b²)
• Reduced Specific Volume:  v_r = v/(R* T_cr / P_c)
• Van't Hoff Equation:  ΔH⁰ = R * ( -ln(K₂/K₁))/ (1/T₁ - 1/T₂)

REFERENCE

[1] Temperature Pressure law
Source: Wikipedia / Evan Mason
URL: https://en.wikipedia.org/wiki/Gay-Lussac%27s_law#mediaviewer/File:Temperature_Pressure_law.svg

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