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### Benedict-Webb-Rubin PVT Formula and Calculator

Benedict-Webb-Rubin PVT Formula and Calculator

Benedict-Webb-Rubin (BWR) equation of state, is often the most convenient way of representing the PVT surface of a fluid and of calculating its thermodynamic properties.

The fact that many of the derived thermodynamic properties can be calculated explicitly in closed, analytic form greatly enhances the usefulness of the equation and the speed of machine calculations. This characteristic of the equation also allows it to be fit to several properties simultaneously (e.g., density and specific heat). Such multi-property fitting virtually assures the accuracy of most derived thermodynamic properties, provided sufficient good data are available.

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Modified Benedict-Webb-Rubin equation of state for gaseous and liquid oxygen

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Eq. 1

P = R · T · ρ + ( ( B · R · T - A - C / T2 ) · (ρ2 ) ) + (ρ3 ) ( b · R · T - a ) + a · α · (ρ6) + ( c · ρ3 / T2 ) · ( 1 + γ · (ρ2 ) ) exp ( ( -1 ) · γ · (ρ2))

Where:

R = Gas Constant (BTU/mol psi K)
T = Temperature (K)
ρ = Density (g/cc)
A = Correlation Constant (dimensionless)
B = Correlation Constant (dimensionless)
C = Correlation Constant (dimensionless)
a = Correlation Constant (dimensionless)
b = Correlation Constant (dimensionless)
c = Correlation Constant (dimensionless)
α = Correlation Constant (dimensionless)
γ = Correlation Constant (dimensionless)
P = Pressure (psi)

Source:

John M. Campbell, Gas Conditioning and Processing, Campbell Petroleum Series, Oklahoma, 1992, Vol. 1, Page: 48.

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