B(0) given Z(0) using Pitzer Correlations for Second Virial Coefficient Solution

STEP 0: Pre-Calculation Summary
Formula Used
Pitzer Correlations Coefficient B(0) = modulus(((Pitzer Correlations Coefficient Z(0)-1)*Reduced Temperature)/Reduced Pressure)
B0 = modulus(((Z0-1)*Tr)/Pr)
This formula uses 1 Functions, 4 Variables
Functions Used
modulus - Modulus of a number is the remainder when that number is divided by another number., modulus
Variables Used
Pitzer Correlations Coefficient B(0) - Pitzer Correlations Coefficient B(0) is calculated from Abott equation. It's a function of reduced temperature.
Pitzer Correlations Coefficient Z(0) - Pitzer Correlations Coefficient Z(0) value is got from the Lee-Kessler table. It depends on reduced temperature and reduced pressure.
Reduced Temperature - Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless.
Reduced Pressure - Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless.
STEP 1: Convert Input(s) to Base Unit
Pitzer Correlations Coefficient Z(0): 0.26 --> No Conversion Required
Reduced Temperature: 10 --> No Conversion Required
Reduced Pressure: 3.675E-05 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
B0 = modulus(((Z0-1)*Tr)/Pr) --> modulus(((0.26-1)*10)/3.675E-05)
Evaluating ... ...
B0 = 201360.544217687
STEP 3: Convert Result to Output's Unit
201360.544217687 --> No Conversion Required
FINAL ANSWER
201360.544217687 โ‰ˆ 201360.5 <-- Pitzer Correlations Coefficient B(0)
(Calculation completed in 00.004 seconds)

Credits

Created by Shivam Sinha
National Institute Of Technology (NIT), Surathkal
Shivam Sinha has created this Calculator and 300+ more calculators!
Verified by Pragati Jaju
College Of Engineering (COEP), Pune
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21 Equation of States Calculators

Compressibility Factor using B(0) and B(1) of Pitzer Correlations for Second Virial Coefficient
Go Compressibility Factor = 1+((Pitzer Correlations Coefficient B(0)*Reduced Pressure)/Reduced Temperature)+((Acentric Factor*Pitzer Correlations Coefficient B(1)*Reduced Pressure)/Reduced Temperature)
B(0) given Z(0) using Pitzer Correlations for Second Virial Coefficient
Go Pitzer Correlations Coefficient B(0) = modulus(((Pitzer Correlations Coefficient Z(0)-1)*Reduced Temperature)/Reduced Pressure)
Reduced Second Virial Coefficient using Second Virial Coefficient
Go Reduced Second Virial Coefficient = (Second Virial Coefficient*Critical Pressure)/([R]*Critical Temperature)
Second Virial Coefficient using Reduced Second Virial Coefficient
Go Second Virial Coefficient = (Reduced Second Virial Coefficient*[R]*Critical Temperature)/Critical Pressure
Acentric Factor using B(0) and B(1) of Pitzer Correlations for Second Virial Coefficient
Go Acentric Factor = (Reduced Second Virial Coefficient-Pitzer Correlations Coefficient B(0))/Pitzer Correlations Coefficient B(1)
Reduced Second Virial Coefficient using B(0) and B(1)
Go Reduced Second Virial Coefficient = Pitzer Correlations Coefficient B(0)+Acentric Factor*Pitzer Correlations Coefficient B(1)
Z(0) given B(0) using Pitzer Correlations for Second Virial Coefficient
Go Pitzer Correlations Coefficient Z(0) = 1+((Pitzer Correlations Coefficient B(0)*Reduced Pressure)/Reduced Temperature)
Acentric Factor using Pitzer Correlations for Compressibility Factor
Go Acentric Factor = (Compressibility Factor-Pitzer Correlations Coefficient Z(0))/Pitzer Correlations Coefficient Z(1)
Compressibility Factor using Second Virial Coefficient
Go Compressibility Factor = 1+((Second Virial Coefficient*Pressure)/([R]*Temperature))
Compressibility Factor using Pitzer Correlations for Compressibility Factor
Go Compressibility Factor = Pitzer Correlations Coefficient Z(0)+Acentric Factor*Pitzer Correlations Coefficient Z(1)
Z(1) given B(1) using Pitzer Correlations for Second Virial Coefficient
Go Pitzer Correlations Coefficient Z(1) = (Pitzer Correlations Coefficient B(1)*Reduced Pressure)/Reduced Temperature
B(1) given Z(1) using Pitzer Correlations for Second Virial Coefficient
Go Pitzer Correlations Coefficient B(1) = (Pitzer Correlations Coefficient Z(1)*Reduced Temperature)/Reduced Pressure
Second Virial Coefficient using Compressibility Factor
Go Second Virial Coefficient = ((Compressibility Factor-1)*[R]*Temperature)/Pressure
Compressibility Factor using Reduced Second Virial Coefficient
Go Compressibility Factor = 1+((Reduced Second Virial Coefficient*Reduced Pressure)/Reduced Temperature)
Reduced Second Virial Coefficient using Compressibility Factor
Go Reduced Second Virial Coefficient = ((Compressibility Factor-1)*Reduced Temperature)/Reduced Pressure
Saturated Reduced Pressure at Reduced Temperature 0.7 using Acentric Factor
Go Saturated Reduced Pressure at Reduced Temp 0.7 = exp(-1-Acentric Factor)
Acentric Factor using Saturated Reduced Pressure given at Reduced Temperature 0.7
Go Acentric Factor = -1-ln(Saturated Reduced Pressure at Reduced Temp 0.7)
Reduced Temperature
Go Reduced Temperature = Temperature/Critical Temperature
B(0) using Abbott Equations
Go Pitzer Correlations Coefficient B(0) = 0.083-0.422/(Reduced Temperature^1.6)
B(1) using Abbott Equations
Go Pitzer Correlations Coefficient B(1) = 0.139-0.172/(Reduced Temperature^4.2)
Reduced Pressure
Go Reduced Pressure = Pressure/Critical Pressure

B(0) given Z(0) using Pitzer Correlations for Second Virial Coefficient Formula

Pitzer Correlations Coefficient B(0) = modulus(((Pitzer Correlations Coefficient Z(0)-1)*Reduced Temperature)/Reduced Pressure)
B0 = modulus(((Z0-1)*Tr)/Pr)

Why we use virial equation of state?

The perfect gas law is an imperfect description of a real gas, we can combine the perfect gas law and the compressibility factors of real gases to develop an equation to describe the isotherms of a real gas. This Equation is known as the Virial Equation of state, which expresses the deviation from ideality in terms of a power series in the density.
The actual behavior of fluids is often described with the virial equation:
PV = RT[1 + (B/V) + (C/(V^2)) + ...] ,
where,
B is the second virial coefficient,
C is called the third virial coefficient, etc.

in which the temperature-dependent constants for each gas are known as the virial coefficients. The second virial coefficient, B, has units of volume (L).

Why we modify the second virial coefficient to reduced second virial coefficient?

The tabular nature of the generalized compressibility-factor correlation is a disadvantage, but the complexity of the functions Z(0) and Z(1) precludes their accurate representation by simple equations. Nonetheless, we can give approximate analytical expression to these functions for a limited range of pressures. So we modify the second virial coefficient to reduced the second virial coefficient.

How to Calculate B(0) given Z(0) using Pitzer Correlations for Second Virial Coefficient?

B(0) given Z(0) using Pitzer Correlations for Second Virial Coefficient calculator uses Pitzer Correlations Coefficient B(0) = modulus(((Pitzer Correlations Coefficient Z(0)-1)*Reduced Temperature)/Reduced Pressure) to calculate the Pitzer Correlations Coefficient B(0), The B(0) given Z(0) using Pitzer Correlations for Second Virial Coefficient formula is defined as the function of the Z(0), reduced pressure and the reduced temperature. Pitzer Correlations Coefficient B(0) is denoted by B0 symbol.

How to calculate B(0) given Z(0) using Pitzer Correlations for Second Virial Coefficient using this online calculator? To use this online calculator for B(0) given Z(0) using Pitzer Correlations for Second Virial Coefficient, enter Pitzer Correlations Coefficient Z(0) (Z0), Reduced Temperature (Tr) & Reduced Pressure (Pr) and hit the calculate button. Here is how the B(0) given Z(0) using Pitzer Correlations for Second Virial Coefficient calculation can be explained with given input values -> 201360.5 = modulus(((0.26-1)*10)/3.675E-05).

FAQ

What is B(0) given Z(0) using Pitzer Correlations for Second Virial Coefficient?
The B(0) given Z(0) using Pitzer Correlations for Second Virial Coefficient formula is defined as the function of the Z(0), reduced pressure and the reduced temperature and is represented as B0 = modulus(((Z0-1)*Tr)/Pr) or Pitzer Correlations Coefficient B(0) = modulus(((Pitzer Correlations Coefficient Z(0)-1)*Reduced Temperature)/Reduced Pressure). Pitzer Correlations Coefficient Z(0) value is got from the Lee-Kessler table. It depends on reduced temperature and reduced pressure, Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless & Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless.
How to calculate B(0) given Z(0) using Pitzer Correlations for Second Virial Coefficient?
The B(0) given Z(0) using Pitzer Correlations for Second Virial Coefficient formula is defined as the function of the Z(0), reduced pressure and the reduced temperature is calculated using Pitzer Correlations Coefficient B(0) = modulus(((Pitzer Correlations Coefficient Z(0)-1)*Reduced Temperature)/Reduced Pressure). To calculate B(0) given Z(0) using Pitzer Correlations for Second Virial Coefficient, you need Pitzer Correlations Coefficient Z(0) (Z0), Reduced Temperature (Tr) & Reduced Pressure (Pr). With our tool, you need to enter the respective value for Pitzer Correlations Coefficient Z(0), Reduced Temperature & Reduced Pressure and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Pitzer Correlations Coefficient B(0)?
In this formula, Pitzer Correlations Coefficient B(0) uses Pitzer Correlations Coefficient Z(0), Reduced Temperature & Reduced Pressure. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Pitzer Correlations Coefficient B(0) = 0.083-0.422/(Reduced Temperature^1.6)
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