Reduced Second Virial Coefficient using Compressibility Factor Calculator

✖Compressibility factor is the factor of correction that describes the deviation of the real gas from the ideal gas.ⓘ Compressibility Factor [z]			+10% -10%
✖Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless.ⓘ Reduced Temperature [T_r]			+10% -10%
✖Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless.ⓘ Reduced Pressure [P_r]			+10% -10%

✖The Reduced Second Virial Coefficient is the function of the second virial coefficient, critical temperature and critical pressure of the fluid.ⓘ Reduced Second Virial Coefficient using Compressibility Factor [B^{^}]

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Formula

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Reduced Second Virial Coefficient using Compressibility Factor

Formula

`"B"^{"^"} = (("z"-1)*"T"_{"r"})/"P"_{"r"}`

Example

`"2.8E^6"=(("11.31975"-1)*"10")/"3.675E^-5"`

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Reduced Second Virial Coefficient using Compressibility Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Reduced Second Virial Coefficient = ((Compressibility Factor-1)*Reduced Temperature)/Reduced Pressure
B^{^} = ((z-1)*T_r)/P_r
This formula uses 4 Variables

Variables Used

Reduced Second Virial Coefficient - The Reduced Second Virial Coefficient is the function of the second virial coefficient, critical temperature and critical pressure of the fluid.
Compressibility Factor - Compressibility factor is the factor of correction that describes the deviation of the real gas from the ideal gas.
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

Compressibility Factor: 11.31975 --> 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

B^{^} = ((z-1)*T_r)/P_r --> ((11.31975-1)*10)/3.675E-05

Evaluating ... ...

B^{^} = 2808095.23809524

STEP 3: Convert Result to Output's Unit

2808095.23809524 --> No Conversion Required

FINAL ANSWER

2808095.23809524 ≈ 2.8E+6 <-- Reduced Second Virial Coefficient

(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Surathkal

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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

Reduced Second Virial Coefficient using Compressibility Factor Formula

Reduced Second Virial Coefficient = ((Compressibility Factor-1)*Reduced Temperature)/Reduced Pressure
B^{^} = ((z-1)*T_r)/P_r

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 Reduced Second Virial Coefficient using Compressibility Factor?

Reduced Second Virial Coefficient using Compressibility Factor calculator uses Reduced Second Virial Coefficient = ((Compressibility Factor-1)*Reduced Temperature)/Reduced Pressure to calculate the Reduced Second Virial Coefficient, The Reduced Second Virial Coefficient using Compressibility Factor formula is defined as the ratio of the product of the reduced temperature and the difference between the compressibility factor and unity to the reduced pressure. Reduced Second Virial Coefficient is denoted by B^{^} symbol.

How to calculate Reduced Second Virial Coefficient using Compressibility Factor using this online calculator? To use this online calculator for Reduced Second Virial Coefficient using Compressibility Factor, enter Compressibility Factor (z), Reduced Temperature (T_r) & Reduced Pressure (P_r) and hit the calculate button. Here is how the Reduced Second Virial Coefficient using Compressibility Factor calculation can be explained with given input values -> 2.8E+6 = ((11.31975-1)*10)/3.675E-05.

FAQ

What is Reduced Second Virial Coefficient using Compressibility Factor?

The Reduced Second Virial Coefficient using Compressibility Factor formula is defined as the ratio of the product of the reduced temperature and the difference between the compressibility factor and unity to the reduced pressure and is represented as B^{^} = ((z-1)*T_r)/P_r or Reduced Second Virial Coefficient = ((Compressibility Factor-1)*Reduced Temperature)/Reduced Pressure. Compressibility factor is the factor of correction that describes the deviation of the real gas from the ideal gas, 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 Reduced Second Virial Coefficient using Compressibility Factor?

The Reduced Second Virial Coefficient using Compressibility Factor formula is defined as the ratio of the product of the reduced temperature and the difference between the compressibility factor and unity to the reduced pressure is calculated using Reduced Second Virial Coefficient = ((Compressibility Factor-1)*Reduced Temperature)/Reduced Pressure. To calculate Reduced Second Virial Coefficient using Compressibility Factor, you need Compressibility Factor (z), Reduced Temperature (T_r) & Reduced Pressure (P_r). With our tool, you need to enter the respective value for Compressibility Factor, 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 Reduced Second Virial Coefficient?

In this formula, Reduced Second Virial Coefficient uses Compressibility Factor, Reduced Temperature & Reduced Pressure. We can use 2 other way(s) to calculate the same, which is/are as follows -

Reduced Second Virial Coefficient = (Second Virial Coefficient*Critical Pressure)/([R]*Critical Temperature)
Reduced Second Virial Coefficient = Pitzer Correlations Coefficient B(0)+Acentric Factor*Pitzer Correlations Coefficient B(1)

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