Compressibility Factor using Second Virial Coefficient Calculator

✖The Second Virial Coefficient describes the contribution of the pair-wise potential to the pressure of the gas.ⓘ Second Virial Coefficient [B]			+10% -10%
✖Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.ⓘ Pressure [p]			+10% -10%
✖Temperature is the degree or intensity of heat present in a substance or object.ⓘ Temperature [T]			+10% -10%

✖Compressibility factor is the factor of correction that describes the deviation of the real gas from the ideal gas.ⓘ Compressibility Factor using Second Virial Coefficient [z]

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Formula

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Compressibility Factor using Second Virial Coefficient

Formula

`"z" = 1+(("B"*"p")/("[R]"*"T"))`

Example

`"1.002874"=1+(("0.28m³"*"38.4Pa")/("[R]"*"450K"))`

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Compressibility Factor using Second Virial Coefficient Solution

STEP 0: Pre-Calculation Summary

Formula Used

Compressibility Factor = 1+((Second Virial Coefficient*Pressure)/([R]*Temperature))
z = 1+((B*p)/([R]*T))
This formula uses 1 Constants, 4 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

Compressibility Factor - Compressibility factor is the factor of correction that describes the deviation of the real gas from the ideal gas.
Second Virial Coefficient - (Measured in Cubic Meter) - The Second Virial Coefficient describes the contribution of the pair-wise potential to the pressure of the gas.
Pressure - (Measured in Pascal) - Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.
Temperature - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.

STEP 1: Convert Input(s) to Base Unit

Second Virial Coefficient: 0.28 Cubic Meter --> 0.28 Cubic Meter No Conversion Required
Pressure: 38.4 Pascal --> 38.4 Pascal No Conversion Required
Temperature: 450 Kelvin --> 450 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

z = 1+((B*p)/([R]*T)) --> 1+((0.28*38.4)/([R]*450))

Evaluating ... ...

z = 1.00287370746982

STEP 3: Convert Result to Output's Unit

1.00287370746982 --> No Conversion Required

FINAL ANSWER

1.00287370746982 ≈ 1.002874 <-- Compressibility Factor

(Calculation completed in 00.004 seconds)

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Created by Shivam Sinha

National Institute Of Technology (NIT), Surathkal

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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

Compressibility Factor using Second Virial Coefficient Formula

Compressibility Factor = 1+((Second Virial Coefficient*Pressure)/([R]*Temperature))
z = 1+((B*p)/([R]*T))

Why we use virial equation of state?

Since 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).

How to Calculate Compressibility Factor using Second Virial Coefficient?

Compressibility Factor using Second Virial Coefficient calculator uses Compressibility Factor = 1+((Second Virial Coefficient*Pressure)/([R]*Temperature)) to calculate the Compressibility Factor, The Compressibility Factor using Second Virial Coefficient formula is defined as the sum of unity and the ratio of the product of the second virial coefficient and pressure to the product of the universal gas constant and the temperature. Compressibility Factor is denoted by z symbol.

How to calculate Compressibility Factor using Second Virial Coefficient using this online calculator? To use this online calculator for Compressibility Factor using Second Virial Coefficient, enter Second Virial Coefficient (B), Pressure (p) & Temperature (T) and hit the calculate button. Here is how the Compressibility Factor using Second Virial Coefficient calculation can be explained with given input values -> 1.002874 = 1+((0.28*38.4)/([R]*450)).

FAQ

What is Compressibility Factor using Second Virial Coefficient?

The Compressibility Factor using Second Virial Coefficient formula is defined as the sum of unity and the ratio of the product of the second virial coefficient and pressure to the product of the universal gas constant and the temperature and is represented as z = 1+((B*p)/([R]*T)) or Compressibility Factor = 1+((Second Virial Coefficient*Pressure)/([R]*Temperature)). The Second Virial Coefficient describes the contribution of the pair-wise potential to the pressure of the gas, Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed & Temperature is the degree or intensity of heat present in a substance or object.

How to calculate Compressibility Factor using Second Virial Coefficient?

The Compressibility Factor using Second Virial Coefficient formula is defined as the sum of unity and the ratio of the product of the second virial coefficient and pressure to the product of the universal gas constant and the temperature is calculated using Compressibility Factor = 1+((Second Virial Coefficient*Pressure)/([R]*Temperature)). To calculate Compressibility Factor using Second Virial Coefficient, you need Second Virial Coefficient (B), Pressure (p) & Temperature (T). With our tool, you need to enter the respective value for Second Virial Coefficient, Pressure & Temperature 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 Compressibility Factor?

In this formula, Compressibility Factor uses Second Virial Coefficient, Pressure & Temperature. We can use 3 other way(s) to calculate the same, which is/are as follows -

Compressibility Factor = Pitzer Correlations Coefficient Z(0)+Acentric Factor*Pitzer Correlations Coefficient Z(1)
Compressibility Factor = 1+((Reduced Second Virial Coefficient*Reduced Pressure)/Reduced Temperature)
Compressibility Factor = 1+((Pitzer Correlations Coefficient B(0)*Reduced Pressure)/Reduced Temperature)+((Acentric Factor*Pitzer Correlations Coefficient B(1)*Reduced Pressure)/Reduced Temperature)

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