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sci.Peng-Robinson-EOS Calculator
Calculates real gas compressibility factor Z and fugacity coefficient from the Peng-Robinson cubic equation of state: P = RT/(V−b) − a(T)/(V(V+b)+b(V−b)). PR-EOS is the industry standard for hydrocarbon systems — it accurately predicts liquid densities and VLE better than van der Waals or Redlich-Kwong.
Inputs
Tc K
Thermal state of the substance. Check whether the formula needs Celsius, Fahrenheit, or Kelvin (K = °C + 273.15).
Pc Bar
Force per unit area (Pa). Atmospheric pressure at sea level: 101,325 Pa. Check whether gauge or absolute pressure is required.
Omega
A multiplier applied in the calculation.
T K
Thermal state of the substance. Check whether the formula needs Celsius, Fahrenheit, or Kelvin (K = °C + 273.15).
P Bar
Force per unit area (Pa). Atmospheric pressure at sea level: 101,325 Pa. Check whether gauge or absolute pressure is required.
Results
compressibility factor Z (approx.)
A dimensionless multiplier applied in the calculation.
molar volume V (cm³/mol)
The computed three-dimensional volume.
alpha(T) function
The type of mathematical function or operational classification determined by the calculation.
PR: P = RT/(V−b) − a(T)/(V(V+b)+b(V−b))
Reference formula or conversion factor shown for context.
a(T) = 0.45724R²Tc²/Pc · α(T)
Reference formula or conversion factor shown for context.
b = 0.07780RTc/Pc
Reference formula or conversion factor shown for context.