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| CALC : Fluid : Z Factor 021 : Methane Compressibility Z Factor and Gas Density : Soave Redlich Kwong and Peng Robinson : Calculator
Description : Calculate the methane gas molar volume, compressibility factor Z and density from the critical constants and acentric factor using cubic equation of state EOS: Peng Robinson, Soave and Redlich Kwong.
Discussion : Check that the check pressure is close to or equal to the fluid pressure, and the convergence check is close to or equal to 1.
Input Variables :
- ω = Dimensionless Acentric Factor ω
- P = Fluid Absolute Pressure
- Pc = Fluid Critical Pressure
- R = Universal Gas Constant
- T = Fluid Absolute Temperature
- Tc = Fluid Critical Temperature
- W = Equation Of State
- mw = Fluid Mole Weight
Output Variables :
- ρ = Fluid Density
- Pchk = Check Pressure
- Pr = Fluid Reduced Pressure Ratio
- Tr = Fluid Reduced Temperature Ratio
- Vm = Fluid Mole Volume
- Z = Fluid Dimensionless Compressibility Z Factor
- cvg = Convergence Check
Calculation :
If W = 1 : Peng Robinson
list( Vm , Pchk , cvg ) = CalcPR( Pc , Tc , ω , P , T )
Otherwise If W = 2 : Soave
list( Vm , Pchk , cvg ) = CalcSO( Pc , Tc , ω , P , T )
Otherwise If W = 3 : Redlich Kwong
list( Vm , Pchk , cvg ) = CalcRK( Pc , Tc , P , T )
End of If Block
Tr = T / Tc
Pr = P / Pc
Z = P Vm / ( R T )
ρ = ( mw P ) / ( Z R T )
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| CALC : Fluid : Z Factor 022 : Ethane Compressibility Z Factor and Gas Density : Soave Redlich Kwong and Peng Robinson : Calculator
Description : Calculate the ethane gas molar volume, compressibility factor Z and density from the critical constants and acentric factor using cubic equation of state EOS: Peng Robinson, Soave and Redlich Kwong.
Discussion : Check that the check pressure is close to or equal to the fluid pressure, and the convergence check is close to or equal to 1.
Input Variables :
- ω = Dimensionless Acentric Factor ω
- P = Fluid Absolute Pressure
- Pc = Fluid Critical Pressure
- R = Universal Gas Constant
- T = Fluid Absolute Temperature
- Tc = Fluid Critical Temperature
- W = Equation Of State
- mw = Fluid Mole Weight
Output Variables :
- ρ = Fluid Density
- Pchk = Check Pressure
- Pr = Fluid Reduced Pressure Ratio
- Tr = Fluid Reduced Temperature Ratio
- Vm = Fluid Mole Volume
- Z = Fluid Dimensionless Compressibility Z Factor
- cvg = Convergence Check
Calculation :
If W = 1 : Peng Robinson
list( Vm , Pchk , cvg ) = CalcPR( Pc , Tc , ω , P , T )
Otherwise If W = 2 : Soave
list( Vm , Pchk , cvg ) = CalcSO( Pc , Tc , ω , P , T )
Otherwise If W = 3 : Redlich Kwong
list( Vm , Pchk , cvg ) = CalcRK( Pc , Tc , P , T )
End of If Block
Tr = T / Tc
Pr = P / Pc
Z = P Vm / ( R T )
ρ = ( mw P ) / ( Z R T )
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| CALC : Fluid : Z Factor 023 : Ethene Compressibility Z Factor and Gas Density : Soave Redlich Kwong and Peng Robinson : Calculator
Description : Calculate the ethene or ethylene gas molar volume, compressibility factor Z and density from the critical constants and acentric factor using cubic equation of state EOS: Peng Robinson, Soave and Redlich Kwong.
Discussion : Check that the check pressure is close to or equal to the fluid pressure, and the convergence check is close to or equal to 1.
Input Variables :
- ω = Dimensionless Acentric Factor ω
- P = Fluid Absolute Pressure
- Pc = Fluid Critical Pressure
- R = Universal Gas Constant
- T = Fluid Absolute Temperature
- Tc = Fluid Critical Temperature
- W = Equation Of State
- mw = Fluid Mole Weight
Output Variables :
- ρ = Fluid Density
- Pchk = Check Pressure
- Pr = Fluid Reduced Pressure Ratio
- Tr = Fluid Reduced Temperature Ratio
- Vm = Fluid Mole Volume
- Z = Fluid Dimensionless Compressibility Z Factor
- cvg = Convergence Check
Calculation :
If W = 1 : Peng Robinson
list( Vm , Pchk , cvg ) = CalcPR( Pc , Tc , ω , P , T )
Otherwise If W = 2 : Soave
list( Vm , Pchk , cvg ) = CalcSO( Pc , Tc , ω , P , T )
Otherwise If W = 3 : Redlich Kwong
list( Vm , Pchk , cvg ) = CalcRK( Pc , Tc , P , T )
End of If Block
Tr = T / Tc
Pr = P / Pc
Z = P Vm / ( R T )
ρ = ( mw P ) / ( Z R T )
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| CALC : Fluid : Z Factor 024 : Propane Compressibility Z Factor and Gas Density : Soave Redlich Kwong and Peng Robinson : Calculator
Description : Calculate the propane gas molar volume, compressibility factor Z and density from the critical constants and acentric factor using cubic equation of state EOS: Peng Robinson, Soave and Redlich Kwong.
Discussion : Check that the check pressure is close to or equal to the fluid pressure, and the convergence check is close to or equal to 1.
Input Variables :
- ω = Dimensionless Acentric Factor ω
- P = Fluid Absolute Pressure
- Pc = Fluid Critical Pressure
- R = Universal Gas Constant
- T = Fluid Absolute Temperature
- Tc = Fluid Critical Temperature
- W = Equation Of State
- mw = Fluid Mole Weight
Output Variables :
- ρ = Fluid Density
- Pchk = Check Pressure
- Pr = Fluid Reduced Pressure Ratio
- Tr = Fluid Reduced Temperature Ratio
- Vm = Fluid Mole Volume
- Z = Fluid Dimensionless Compressibility Z Factor
- cvg = Convergence Check
Calculation :
If W = 1 : Peng Robinson
list( Vm , Pchk , cvg ) = CalcPR( Pc , Tc , ω , P , T )
Otherwise If W = 2 : Soave
list( Vm , Pchk , cvg ) = CalcSO( Pc , Tc , ω , P , T )
Otherwise If W = 3 : Redlich Kwong
list( Vm , Pchk , cvg ) = CalcRK( Pc , Tc , P , T )
End of If Block
Tr = T / Tc
Pr = P / Pc
Z = P Vm / ( R T )
ρ = ( mw P ) / ( Z R T )
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| CALC : Fluid : Z Factor 025 : Propene Compressibility Z Factor and Gas Density : Soave Redlich Kwong and Peng Robinson : Calculator
Description : Calculate the propene or propylene gas molar volume, compressibility factor Z and density from the critical constants and acentric factor using cubic equation of state EOS: Peng Robinson, Soave and Redlich Kwong.
Discussion : Check that the check pressure is close to or equal to the fluid pressure, and the convergence check is close to or equal to 1.
Input Variables :
- ω = Dimensionless Acentric Factor ω
- P = Fluid Absolute Pressure
- Pc = Fluid Critical Pressure
- R = Universal Gas Constant
- T = Fluid Absolute Temperature
- Tc = Fluid Critical Temperature
- W = Equation Of State
- mw = Fluid Mole Weight
Output Variables :
- ρ = Fluid Density
- Pchk = Check Pressure
- Pr = Fluid Reduced Pressure Ratio
- Tr = Fluid Reduced Temperature Ratio
- Vm = Fluid Mole Volume
- Z = Fluid Dimensionless Compressibility Z Factor
- cvg = Convergence Check
Calculation :
If W = 1 : Peng Robinson
list( Vm , Pchk , cvg ) = CalcPR( Pc , Tc , ω , P , T )
Otherwise If W = 2 : Soave
list( Vm , Pchk , cvg ) = CalcSO( Pc , Tc , ω , P , T )
Otherwise If W = 3 : Redlich Kwong
list( Vm , Pchk , cvg ) = CalcRK( Pc , Tc , P , T )
End of If Block
Tr = T / Tc
Pr = P / Pc
Z = P Vm / ( R T )
ρ = ( mw P ) / ( Z R T )
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| CALC : Fluid : Z Factor 026 : Butane Compressibility Z Factor and Gas Density : Soave Redlich Kwong and Peng Robinson : Calculator
Description : Calculate the butane gas molar volume, compressibility factor Z and density from the critical constants and acentric factor using cubic equation of state EOS: Peng Robinson, Soave and Redlich Kwong.
Discussion : Check that the check pressure is close to or equal to the fluid pressure, and the convergence check is close to or equal to 1.
Input Variables :
- ω = Dimensionless Acentric Factor ω
- P = Fluid Absolute Pressure
- Pc = Fluid Critical Pressure
- R = Universal Gas Constant
- T = Fluid Absolute Temperature
- Tc = Fluid Critical Temperature
- W = Equation Of State
- mw = Fluid Mole Weight
Output Variables :
- ρ = Fluid Density
- Pchk = Check Pressure
- Pr = Fluid Reduced Pressure Ratio
- Tr = Fluid Reduced Temperature Ratio
- Vm = Fluid Mole Volume
- Z = Fluid Dimensionless Compressibility Z Factor
- cvg = Convergence Check
Calculation :
If W = 1 : Peng Robinson
list( Vm , Pchk , cvg ) = CalcPR( Pc , Tc , ω , P , T )
Otherwise If W = 2 : Soave
list( Vm , Pchk , cvg ) = CalcSO( Pc , Tc , ω , P , T )
Otherwise If W = 3 : Redlich Kwong
list( Vm , Pchk , cvg ) = CalcRK( Pc , Tc , P , T )
End of If Block
Tr = T / Tc
Pr = P / Pc
Z = P Vm / ( R T )
ρ = ( mw P ) / ( Z R T )
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| CALC : Fluid : Z Factor 027 : Isobutane Compressibility Z Factor and Gas Density : Soave Redlich Kwong and Peng Robinson : Calculator
Description : Calculate the isobutane gas molar volume, compressibility factor Z and density from the critical constants and acentric factor using cubic equation of state EOS: Peng Robinson, Soave and Redlich Kwong.
Discussion : Check that the check pressure is close to or equal to the fluid pressure, and the convergence check is close to or equal to 1.
Input Variables :
- ω = Dimensionless Acentric Factor ω
- P = Fluid Absolute Pressure
- Pc = Fluid Critical Pressure
- R = Universal Gas Constant
- T = Fluid Absolute Temperature
- Tc = Fluid Critical Temperature
- W = Equation Of State
- mw = Fluid Mole Weight
Output Variables :
- ρ = Fluid Density
- Pchk = Check Pressure
- Pr = Fluid Reduced Pressure Ratio
- Tr = Fluid Reduced Temperature Ratio
- Vm = Fluid Mole Volume
- Z = Fluid Dimensionless Compressibility Z Factor
- cvg = Convergence Check
Calculation :
If W = 1 : Peng Robinson
list( Vm , Pchk , cvg ) = CalcPR( Pc , Tc , ω , P , T )
Otherwise If W = 2 : Soave
list( Vm , Pchk , cvg ) = CalcSO( Pc , Tc , ω , P , T )
Otherwise If W = 3 : Redlich Kwong
list( Vm , Pchk , cvg ) = CalcRK( Pc , Tc , P , T )
End of If Block
Tr = T / Tc
Pr = P / Pc
Z = P Vm / ( R T )
ρ = ( mw P ) / ( Z R T )
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| CALC : Fluid : Z Factor 028 : Pentane Compressibility Z Factor and Gas Density : Soave Redlich Kwong and Peng Robinson : Calculator
Description : Calculate the pentane gas molar volume, compressibility factor Z and density from the critical constants and acentric factor using cubic equation of state EOS: Peng Robinson, Soave and Redlich Kwong.
Discussion : Check that the check pressure is close to or equal to the fluid pressure, and the convergence check is close to or equal to 1.
Input Variables :
- ω = Dimensionless Acentric Factor ω
- P = Fluid Absolute Pressure
- Pc = Fluid Critical Pressure
- R = Universal Gas Constant
- T = Fluid Absolute Temperature
- Tc = Fluid Critical Temperature
- W = Equation Of State
- mw = Fluid Mole Weight
Output Variables :
- ρ = Fluid Density
- Pchk = Check Pressure
- Pr = Fluid Reduced Pressure Ratio
- Tr = Fluid Reduced Temperature Ratio
- Vm = Fluid Mole Volume
- Z = Fluid Dimensionless Compressibility Z Factor
- cvg = Convergence Check
Calculation :
If W = 1 : Peng Robinson
list( Vm , Pchk , cvg ) = CalcPR( Pc , Tc , ω , P , T )
Otherwise If W = 2 : Soave
list( Vm , Pchk , cvg ) = CalcSO( Pc , Tc , ω , P , T )
Otherwise If W = 3 : Redlich Kwong
list( Vm , Pchk , cvg ) = CalcRK( Pc , Tc , P , T )
End of If Block
Tr = T / Tc
Pr = P / Pc
Z = P Vm / ( R T )
ρ = ( mw P ) / ( Z R T )
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| CALC : Fluid : Z Factor 029 : Isopentane or 2-Methylbutane Compressibility Z Factor and Gas Density : Soave Redlich Kwong and Peng Robinson : Calculator
Description : Calculate the isopentane gas molar volume, compressibility factor Z and density from the critical constants and acentric factor using cubic equation of state EOS: Peng Robinson, Soave and Redlich Kwong.
Discussion : Check that the check pressure is close to or equal to the fluid pressure, and the convergence check is close to or equal to 1.
Input Variables :
- ω = Dimensionless Acentric Factor ω
- P = Fluid Absolute Pressure
- Pc = Fluid Critical Pressure
- R = Universal Gas Constant
- T = Fluid Absolute Temperature
- Tc = Fluid Critical Temperature
- W = Equation Of State
- mw = Fluid Mole Weight
Output Variables :
- ρ = Fluid Density
- Pchk = Check Pressure
- Pr = Fluid Reduced Pressure Ratio
- Tr = Fluid Reduced Temperature Ratio
- Vm = Fluid Mole Volume
- Z = Fluid Dimensionless Compressibility Z Factor
- cvg = Convergence Check
Calculation :
If W = 1 : Peng Robinson
list( Vm , Pchk , cvg ) = CalcPR( Pc , Tc , ω , P , T )
Otherwise If W = 2 : Soave
list( Vm , Pchk , cvg ) = CalcSO( Pc , Tc , ω , P , T )
Otherwise If W = 3 : Redlich Kwong
list( Vm , Pchk , cvg ) = CalcRK( Pc , Tc , P , T )
End of If Block
Tr = T / Tc
Pr = P / Pc
Z = P Vm / ( R T )
ρ = ( mw P ) / ( Z R T )
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| CALC : Fluid : Z Factor 030 : Ammonia Compressibility Z Factor and Gas Density : Soave Redlich Kwong and Peng Robinson : Calculator
Description : Calculate the ammonia gas molar volume, compressibility factor Z and density from the critical constants and acentric factor using cubic equation of state EOS: Peng Robinson, Soave and Redlich Kwong.
Discussion : Check that the check pressure is close to or equal to the fluid pressure, and the convergence check is close to or equal to 1.
Input Variables :
- ω = Dimensionless Acentric Factor ω
- P = Fluid Absolute Pressure
- Pc = Fluid Critical Pressure
- R = Universal Gas Constant
- T = Fluid Absolute Temperature
- Tc = Fluid Critical Temperature
- W = Equation Of State
- mw = Fluid Mole Weight
Output Variables :
- ρ = Fluid Density
- Pchk = Check Pressure
- Pr = Fluid Reduced Pressure Ratio
- Tr = Fluid Reduced Temperature Ratio
- Vm = Fluid Mole Volume
- Z = Fluid Dimensionless Compressibility Z Factor
- cvg = Convergence Check
Calculation :
If W = 1 : Peng Robinson
list( Vm , Pchk , cvg ) = CalcPR( Pc , Tc , ω , P , T )
Otherwise If W = 2 : Soave
list( Vm , Pchk , cvg ) = CalcSO( Pc , Tc , ω , P , T )
Otherwise If W = 3 : Redlich Kwong
list( Vm , Pchk , cvg ) = CalcRK( Pc , Tc , P , T )
End of If Block
Tr = T / Tc
Pr = P / Pc
Z = P Vm / ( R T )
ρ = ( mw P ) / ( Z R T )
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| CALC : Fluid : Z Factor 031 : Carbon Dioxide Compressibility Z Factor and Gas Density : Soave Redlich Kwong and Peng Robinson : Calculator
Description : Calculate the carbon dioxide gas molar volume, compressibility factor Z and density from the critical constants and acentric factor using cubic equation of state EOS: Peng Robinson, Soave and Redlich Kwong.
Discussion : Check that the check pressure is close to or equal to the fluid pressure, and the convergence check is close to or equal to 1.
Input Variables :
- ω = Dimensionless Acentric Factor ω
- P = Fluid Absolute Pressure
- Pc = Fluid Critical Pressure
- R = Universal Gas Constant
- T = Fluid Absolute Temperature
- Tc = Fluid Critical Temperature
- W = Equation Of State
- mw = Fluid Mole Weight
Output Variables :
- ρ = Fluid Density
- Pchk = Check Pressure
- Pr = Fluid Reduced Pressure Ratio
- Tr = Fluid Reduced Temperature Ratio
- Vm = Fluid Mole Volume
- Z = Fluid Dimensionless Compressibility Z Factor
- cvg = Convergence Check
Calculation :
If W = 1 : Peng Robinson
list( Vm , Pchk , cvg ) = CalcPR( Pc , Tc , ω , P , T )
Otherwise If W = 2 : Soave
list( Vm , Pchk , cvg ) = CalcSO( Pc , Tc , ω , P , T )
Otherwise If W = 3 : Redlich Kwong
list( Vm , Pchk , cvg ) = CalcRK( Pc , Tc , P , T )
End of If Block
Tr = T / Tc
Pr = P / Pc
Z = P Vm / ( R T )
ρ = ( mw P ) / ( Z R T )
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| CALC : Fluid : Z Factor 032 : Nitrogen Compressibility Z Factor and Gas Density : Soave Redlich Kwong and Peng Robinson : Calculator
Description : Calculate the nitrogen gas molar volume, compressibility factor Z and density from the critical constants and acentric factor using cubic equation of state EOS: Peng Robinson, Soave and Redlich Kwong.
Discussion : Check that the check pressure is close to or equal to the fluid pressure, and the convergence check is close to or equal to 1.
Input Variables :
- ω = Dimensionless Acentric Factor ω
- P = Fluid Absolute Pressure
- Pc = Fluid Critical Pressure
- R = Universal Gas Constant
- T = Fluid Absolute Temperature
- Tc = Fluid Critical Temperature
- W = Equation Of State
- mw = Fluid Mole Weight
Output Variables :
- ρ = Fluid Density
- Pchk = Check Pressure
- Pr = Fluid Reduced Pressure Ratio
- Tr = Fluid Reduced Temperature Ratio
- Vm = Fluid Mole Volume
- Z = Fluid Dimensionless Compressibility Z Factor
- cvg = Convergence Check
Calculation :
If W = 1 : Peng Robinson
list( Vm , Pchk , cvg ) = CalcPR( Pc , Tc , ω , P , T )
Otherwise If W = 2 : Soave
list( Vm , Pchk , cvg ) = CalcSO( Pc , Tc , ω , P , T )
Otherwise If W = 3 : Redlich Kwong
list( Vm , Pchk , cvg ) = CalcRK( Pc , Tc , P , T )
End of If Block
Tr = T / Tc
Pr = P / Pc
Z = P Vm / ( R T )
ρ = ( mw P ) / ( Z R T )
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| CALC : Fluid : Z Factor 033 : Water Vapour Compressibility Z Factor and Gas Density : Soave Redlich Kwong and Peng Robinson : Calculator
Description : Calculate the water vapour gas molar volume, compressibility factor Z and density from the critical constants and acentric factor using cubic equation of state EOS: Peng Robinson, Soave and Redlich Kwong.
Discussion : Check that the check pressure is close to or equal to the fluid pressure, and the convergence check is close to or equal to 1.
Input Variables :
- ω = Dimensionless Acentric Factor ω
- P = Fluid Absolute Pressure
- Pc = Fluid Critical Pressure
- R = Universal Gas Constant
- T = Fluid Absolute Temperature
- Tc = Fluid Critical Temperature
- W = Equation Of State
- mw = Fluid Mole Weight
Output Variables :
- ρ = Fluid Density
- Pchk = Check Pressure
- Pr = Fluid Reduced Pressure Ratio
- Tr = Fluid Reduced Temperature Ratio
- Vm = Fluid Mole Volume
- Z = Fluid Dimensionless Compressibility Z Factor
- cvg = Convergence Check
Calculation :
If W = 1 : Peng Robinson
list( Vm , Pchk , cvg ) = CalcPR( Pc , Tc , ω , P , T )
Otherwise If W = 2 : Soave
list( Vm , Pchk , cvg ) = CalcSO( Pc , Tc , ω , P , T )
Otherwise If W = 3 : Redlich Kwong
list( Vm , Pchk , cvg ) = CalcRK( Pc , Tc , P , T )
End of If Block
Tr = T / Tc
Pr = P / Pc
Z = P Vm / ( R T )
ρ = ( mw P ) / ( Z R T )
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| CALC : Fluid : Z Factor 041 : Peng Robinson Gas Compressibility Z Factor and Gas Density From Critical Constants : Calculator
Description : Calculate the molar volume, compressibility Z factor and density for a general gas using the Peng Robinson equation of state EOS.
Discussion : The function CalcPR) calculates the molar volume from the critical constants and acentric factor using the Peng Robinson equation of state (EOS). The compressibility Z factor and density are calculated from the molar volume. To verify the CalcPR() function, check that the Peng Robinson check pressure is equal to the fluid pressure.
Input Variables :
- ω = Dimensionless Acentric Factor ω
- P = Fluid Absolute Pressure
- Pc = Fluid Critical Pressure
- R = Universal Gas Constant
- T = Fluid Absolute Temperature
- Tc = Fluid Critical Temperature
- mw = Fluid Mole Weight or Molar Mass
Output Variables :
- ρ = Fluid Density
- Pchk = Check Pressure
- Pr = Fluid Reduced Pressure Ratio
- Tr = Fluid Reduced Temperature Ratio
- Vm = Fluid Mole Volume
- Z = Fluid Dimensionless Compressibility Z Factor
- cvg = Convergence Check
Calculation :
list( Vm , Pchk , cvg ) = CalcPR( Pc , Tc , ω , P , T )
A = R 2 Tc 2 / ( 2.1870 Pc )
B = R Tc / ( 12.8535 Pc )
ALPHA = 1 + ( 0.37464 + 1.54226 ω - 0.26922 ω 2 )( 1 - √( T / Tc ) ) 2
Pchk = R T / ( Vm - B ) - A ALPHA / ( Vm 2 + 2 Vm B - B 2 )
Tr = T / Tc
Pr = P / Pc
Z = P Vm / ( R T )
ρ = ( mw P ) / ( Z R T )
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| CALC : Fluid : Z Factor 042 : Soave Gas Compressibility Z Factor and Gas Density From Critical Constants : Calculator
Description : Calculate the molar volume, compressibility Z factor and density for a general gas using the Soave equation of state EOS.
Discussion : The function CalcSO() calculates the molar volume from the critical constants by the Soave equation of state which is derived from the Redlich Kwong equation of state (EOS). The compressibility Z factor and density are calculated from the molar volume. To verify the CalcSO() function, check that the check pressure is close to or equal to the fluid pressure, and the convergence check is close to or equal to 1.
Input Variables :
- ω = Dimensionless Acentric Factor ω
- P = Fluid Absolute Pressure
- Pc = Fluid Critical Pressure
- R = Universal Gas Constant
- T = Fluid Absolute Temperature
- Tc = Fluid Critical Temperature
- mw = Fluid Mole Weight or Molar Mass
Output Variables :
- ρ = Fluid Density
- Pchk = Check Pressure
- Pr = Fluid Reduced Pressure Ratio
- Tr = Fluid Reduced Temperature Ratio
- Vm = Fluid Mole Volume
- Z = Fluid Dimensionless Compressibility Z Factor
- cvg = Convergence Check
Calculation :
list( Vm , Pchk , cvg ) = CalcSO( Pc , Tc , ω , P , T )
A = R 2 Tc 2 / ( 2.3393 Pc )
B = R Tc / ( 11.5420 Pc )
ALPHA = 1 + ( 0.480 + 1.574 ω - 0.176 ω 2 )( 1 - √( T / Tc ) ) 2
Pchk = R T / ( Vm - B ) - A ALPHA / ( Vm ( Vm + B ) )
Tr = T / Tc
Pr = P / Pc
Z = P Vm / ( R T )
ρ = ( mw P ) / ( Z R T )
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| CALC : Fluid : Z Factor 043 : Redlich Kwong Gas Compressibility Z Factor and Gas Density From Critical Constants : Calculator
Description : Calculate the molar volume, compressibility Z factor and density for a general gas using the Redlich Kwong equation of state EOS.
Discussion : The function CalcRK() calculates the molar volume from the critical constants by the Redlich Kwong equation of state (EOS). The compressibility Z factor and density are calculated from the molar volume. To verify the CalcRK() function, check that the check pressure is close to or equal to the fluid pressure, and the convergence check is close to or equal to 1.
Input Variables :
- P = Fluid Absolute Pressure
- Pc = Fluid Critical Pressure
- R = Universal Gas Constant
- T = Fluid Absolute Temperature
- Tc = Fluid Critical Temperature
- mw = Fluid Mole Weight or Molar Mass
Output Variables :
- ρ = Fluid Density
- Pchk = Check Pressure
- Pr = Fluid Reduced Pressure Ratio
- Tr = Fluid Reduced Temperature Ratio
- Vm = Fluid Mole Volume
- Z = Fluid Dimensionless Compressibility Z Factor
- cvg = Convergence Check
Calculation :
list( Vm , Pchk , cvg ) = CalcRK( Pc , Tc , P , T )
A = ( R 2 Tc 5 / 2 ) / ( 2.3393 Pc )
B = ( R Tc ) / ( 11.5420 Pc )
Pchk = ( R T ) / ( Vm - B ) - A / ( Vm ( Vm + B ) √( T ) )
Tr = T / Tc
Pr = P / Pc
Z = P Vm / ( R T )
ρ = ( mw P ) / ( Z R T )
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| CALC : Fluid : Z Factor 044 : General Gas Compressibility Z Factor and Gas Density : Soave Redlich Kwong and Peng Robinson : Calculator
Description : Calculate the molar volume, compressibility Z factor and density for a general gas using a cubic EOS: Peng Robinson, Soave or Redlich Kwong.
Discussion : The functions CalcPR(), CalcSO() and CalcRK() calculate the molar volume from the critical constants by the Peng Robinson, Soave and Redlich Kwong equation of state (EOS) respectively. The compressibility Z factor and density are calculated from the molar volume. To verify the functions, check that the check pressure is close to or equal to the fluid pressure, and the convergence check is close to or equal to 1.
Input Variables :
- ω = Dimensionless Acentric Factor ω
- P = Fluid Absolute Pressure
- Pc = Fluid Critical Pressure
- R = Universal Gas Constant
- T = Fluid Absolute Temperature
- Tc = Fluid Critical Temperature
- W = Equation Of State
- mw = Fluid Mole Weight or Molar Mass
Output Variables :
- ρ = Fluid Density
- Pchk = Check Pressure
- Pr = Fluid Reduced Pressure Ratio
- Tr = Fluid Reduced Temperature Ratio
- Vm = Fluid Mole Volume
- Z = Fluid Dimensionless Compressibility Z Factor
- cvg = Convergence Check
Calculation :
If W = 1 : Peng Robinson
list( Vm , Pchk , cvg ) = CalcPR( Pc , Tc , ω , P , T )
Otherwise If W = 2 : Soave
list( Vm , Pchk , cvg ) = CalcSO( Pc , Tc , ω , P , T )
Otherwise If W = 3 : Redlich Kwong
list( Vm , Pchk , cvg ) = CalcRK( Pc , Tc , P , T )
End of If Block
Tr = T / Tc
Pr = P / Pc
Z = P Vm / ( R T )
ρ = ( mw P ) / ( Z R T )
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| CALC : Fluid : Z Factor 051 : General Gas Mixture Compressibility Z Factor and Gas Density From Critical Constants : Soave Redlich Kwong and Peng Robi : Calculator
Description : Calculate the molar volume, compressibility factor Z and density for a gas mixture from the pseudocritical constants and acentric factor using cubic equation of state EOS: Peng Robinson, Soave or Redlich Kwong.
Discussion : The pseudocritical values are calculated from the fluid components using Kay's rule. The function CalcZFactor() calculates the Z factor from the Peng Robinson coefficients. To verify the CalcZFactor() function, check that the Peng Robinson check pressure is equal to the fluid pressure. The function DotProduct() calculates the vector dot product of two arrays. The value of the first mole fraction is calculated so that the sum of the mole fractions equals 1. Check that the check pressure is close to or equal to the fluid pressure, and the convergence check is close to or equal to 1.
Input Variables :
- ωx = Fluid Fraction Acentric Factor
- P = Fluid Absolute Pressure
- R = Universal Gas Constant
- T = Fluid Absolute Temperature
- Tcx = Fluid Fraction Critical Temperature
- Vcx = Fluid Fraction Critical Mole Volume
- W = Equation Of State
- X = Fluid Mole Fraction
- Zcx = Fluid Fraction Critical Z Factor
- mwx = Fluid Fraction Mole Weight or Molar Mass
Output Variables :
- ρ = Fluid Density
- ω = Dimensionless Acentric Factor ω
- Pchk = Check Pressure
- Ppc = Fluid Critical Pressure
- Pr = Fluid Reduced Pressure Ratio
- Tpc = Fluid Critical Temperature
- Tr = Fluid Reduced Temperature Ratio
- Vm = Fluid Mole Volume
- Vpc = Fluid Critical Mole Volume
- Z = Fluid Dimensionless Compressibility Z Factor
- Zpc = Fluid Dimensionless Critical Compressibility Z Factor
- cvg = Convergence Check
- mw = Fluid Mole Weight or Molar Mass
Calculation :
X[1] = 1 + X[1] - ArraySum( X )
Tpc = DotProduct( X , Tcx )
Vpc = DotProduct( X , Vcx )
Zpc = DotProduct( X , Zcx )
Ppc = ( Zpc R Tpc ) / Vpc
mw = DotProduct( X , mwx )
ω = DotProduct( X , ωx )
If W = 1 : Peng Robinson
list( Vm , Pchk , cvg ) = CalcPR( Ppc , Tpc , ω , P , T )
Otherwise If W = 2 : Soave
list( Vm , Pchk , cvg ) = CalcSO( Ppc , Tpc , ω , P , T )
Otherwise If W = 3 : Redlich Kwong
list( Vm , Pchk , cvg ) = CalcRK( Ppc , Tpc , P , T )
End of If Block
Tr = T / Tpc
Pr = P / Ppc
Z = P Vm / ( R T )
ρ = ( mw P ) / ( Z R T )
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