Gas Compressibility Factor From The Virial Equation

Calculate gas compressibility factor or Z factor from the virial equation.

The compressibility factor is calculated using the second order virial equation

`Z = (P.vm) / (Ro .T) = 1 + B / (vm) `
`B = a - b.e^(c / T) `

where :

Z = the compressibility factor
P = gas pressure
T = gas temperature
vm = gas mole volume
Ro = the universal gas constant
B = the second order virial coefficient
a, b, c are Virial constants

The gas mole volume is calculated by solving the quadratic equation, and the compressibility factor is calculated from the mole volume.

Reference : Kaye And Laby : Tables Of Physical And Chemical Constants

Change Module :

Gas Compressibility Factor Calculation Module
Gas Compressibility Factor From The Cubic Equation Calculation Module
All

Related Modules :

Fluid Compressibility Factor Data Module
Fluid Critical Point And Molar Mass Data Module
Fluid Mixture From Kay's Rule Calculation Module
More Fluid Compressibility Z Factor Modules

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Links : ±

CALCULATOR : Gas Compressibility Factor And Density From Cubic Equation Of State [FREE] ±

Calculate gas molar volume, compressibility factor Z and density from the fluid pressure, temperature and critical point constants for selected gases.

The compressibility factor can be calculated from either the Peng Robinson, Soave, Redlich Kwong, or van der Waals equation of state (EOS). The compressibility factor calculation is valid for gas phase only. Use the Result Plot option to plot compressibility factor versus pressure and temperature, compressibility factor versus pressure and equation of state type, or compressibility factor versus temperature and equation of state type.

Tool Input

fluidtype : Fluid Type
- SGu : User Defined Gas Specific Gravity
- ωu : User Defined Acentric Factor
- Pcu : User Defined Critical Pressure
- Tcu : User Defined Critical Temperature
eostype : Equation Of State
- Zu : User Defined Compressibility Factor
P : Fluid Pressure
T : Fluid Temperature

Tool Output

ρ : Fluid Density
ω : Accentric Factor
Pc : Critical Point Pressure
Pr : Reduced Pressure
SG : Gas Specific Gravity Relative To Air
Tc : Critical Point Temperature
Tr : Reduced Temperature
Vm : Molar Volume
Z : Compressibility Factor
cvg : Convergence Check
mw : Fluid Molar Mass

CALCULATOR : Inorganic Fluid Compressibility Factor From Virial Equation (Kaye And Laby) [FREE] ±

Calculate the compressibility factor and molar volume for selected inorganic fluids from the second order virial equation of state.

Reference : Kaye And Laby : Tables Of Physical And Chemical Constants

Tool Input

datatype : Fluid Type
P : Fluid Pressure
T : Fluid Temperature

Tool Output

B : Second Virial Coefficient B
CVG : Convergence Check
Pc : Critcal Pressure
Pr : Reduced Pressure
Tc : Critcal Temperature
Tmax : Maximum Temperature
Tmin : Minimum Temperature
Tr : Reduced Temperature
Vm : Mole Specific Volume
Z : Z Factor
a : Virial Coefficient a
b : Virial Coefficient b
c : Virial Coefficient c

CALCULATOR : Organic Fluid Compressibility Factor From Virial Equation (Kaye And Laby) [FREE] ±

Calculate the compressibility factor and molar volume for selected organic fluids from the second order virial equation of state.

Reference : Kaye And Laby : Tables Of Physical And Chemical Constants

Tool Input

datatype : Fluid Type
P : Fluid Pressure
T : Fluid Temperature

Tool Output

B : Second Virial Coefficient B
CVG : Convergence Check
Pc : Critcal Pressure
Pr : Reduced Pressure
Tc : Critcal Temperature
Tmax : Maximum Temperature
Tmin : Minimum Temperature
Tr : Reduced Temperature
Vm : Mole Specific Volume
Z : Z Factor
a : Virial Coefficient a
b : Virial Coefficient b
c : Virial Coefficient c

CALCULATOR : Fluid Compressibility Factor And Density From Cubic And Virial Equation [FREE] ±

Calculate the compressibility factor, molar volume and density from the second order virial equation of state.

The density and compressibility factor can be calculated from either the virial equation, the Peng Robinson equation, the Soave equation, the Redlich Kwong equation, or the van der Waals equation.

Reference : Kaye And Laby : Tables Of Physical And Chemical Constants

Tool Input

eostype : Equation Of State Type
- Zu : User Defined Compressibility Factor
v : Virial Coeficient
SG : Gas Specific Gravity
ω : Accentric Factor
Pc : Critical Pressure
Tc : Critical Temperature
P : Fluid Pressure
T : Fluid Temperature

Tool Output

ρ : Density
CVG : Convergence Check
Pr : Reduced Pressure
Tr : Reduced Temperature
Vm : Mole Specific Volume
Z : Compressiblity Factor
mw : Molar Mass

CALCULATOR : Fluid Compressibility Factor From Reduced Pressure And Temperature [FREE] ±

Calculate gas compressibility factor Z from the reduced pressure and temperature, and either the Redlich Kwong, or van der Waals equation of state (EOS).

The reduced pressure is equal to the fluid pressure divided by the critical pressure. The reduced temperature is equal to the fluid temperature divided by the critical temperature. Use the Result Plot option to display the compressibility factor versus reduced pressure and temperature.

Tool Input

eostype : Equation Of State
ω : Accentric Factor
Pr : Reduced Pressure
Tr : Reduced Temperature

Tool Output

Z : Compressibility Factor
cvg : Convergence Check