Combined Gas Law Calculator

The Combined Gas Law calculator computes the pressure, volume, temperature and constant based on Combined Gas Law.  The equations in this calculator provide the solution to each of the for four components of this formula:  (P) pressure, (V) volume, (T) temperature and even the constant (k), and the calculator automatically handles numerous unit conversions for pressure, volume and temperature.  The combined gas law is a gas law which combines Charles's law, Boyle's law, and Gay-Lussac's law. There is no 'official' founder for this law because it is a consolidation of the three other laws.  The combined gas law states the ratio between the pressure-volume product and the temperature of a system remains constant (k).  This constancy can be used when comparing different conditions using the same substances. The combined gas law is mathematically expressed as follows:

`(P_i V_i)/(T_i) = (P_(f) V_f)/(T_f) = k`

The Combined Gas Law calculator groups the forms of the Combined Gas Law formula in two ways as follows:

P • V / T = k 

• Pressure based on known volume, temperature and the combined gas constant.
• Volume based on know pressure, temperature and the combined gas constant.
• Temperature based on known pressure, volume and the combined gas constant.
• k gas constant based on the proportionality of the gas if you know pressure, volume and the temperature for the specific gas.

P_i • V_i/T_i = P_f • V_f/T_f

Since P•V/T = k, one can compute the initial (i) and final (f) states using the expanded version of the Combined Gas Law. The P_i • V_i/T_i = P_f • V_f/T_f tab allows the user to enter any five of the six values in the formula to compute the remaining one via the Combined Gas Law.

• Final Pressure based on an initial and final temperature and volume and an initial pressure.
• Final Temperature based on an initial and final pressure and volume and an initial temperature.
• Final Volume based on an initial and final pressure and temperature and an initial volume.

The combined gas law is a gas law that combines the relationships between temperature pressure and volume of ideal gases as expressed in Charles's law, Boyle's law, and Gay-Lussac's law. This law is an amalgamation of these three laws. These laws each relate one thermodynamic variable to another mathematically while holding everything else constant. The inter-dependencies of these variables is represented in the combined gas law, which states: The ratio between the pressure-volume product and the temperature of a system remains constant.

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)