Second Virial Coefficient using Compressibility Factor Solution

STEP 0: Pre-Calculation Summary
Formula Used
Second Virial Coefficient = ((Compressibility Factor-1)*[R]*Temperature)/Pressure
B = ((z-1)*[R]*T)/p
This formula uses 1 Constants, 4 Variables
Constants Used
[R] - Universal gas constant Value Taken As 8.31446261815324
Variables Used
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.
Compressibility Factor - Compressibility factor is the factor of correction that describes the deviation of the real gas from the ideal gas.
Temperature - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.
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.
STEP 1: Convert Input(s) to Base Unit
Compressibility Factor: 11.31975 --> No Conversion Required
Temperature: 450 Kelvin --> 450 Kelvin No Conversion Required
Pressure: 38.4 Pascal --> 38.4 Pascal No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
B = ((z-1)*[R]*T)/p --> ((11.31975-1)*[R]*450)/38.4
Evaluating ... ...
B = 1005.50596410571
STEP 3: Convert Result to Output's Unit
1005.50596410571 Cubic Meter --> No Conversion Required
FINAL ANSWER
1005.50596410571 1005.506 Cubic Meter <-- Second Virial Coefficient
(Calculation completed in 00.004 seconds)

Credits

Created by Shivam Sinha
National Institute Of Technology (NIT), Surathkal
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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

Second Virial Coefficient using Compressibility Factor Formula

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

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 Second Virial Coefficient using Compressibility Factor?

Second Virial Coefficient using Compressibility Factor calculator uses Second Virial Coefficient = ((Compressibility Factor-1)*[R]*Temperature)/Pressure to calculate the Second Virial Coefficient, The Second Virial Coefficient using Compressibility Factor formula is defined as the ratio of the product of the universal gas constant, temperature and the difference between the compressibility factor and unity to the pressure. Second Virial Coefficient is denoted by B symbol.

How to calculate Second Virial Coefficient using Compressibility Factor using this online calculator? To use this online calculator for Second Virial Coefficient using Compressibility Factor, enter Compressibility Factor (z), Temperature (T) & Pressure (p) and hit the calculate button. Here is how the Second Virial Coefficient using Compressibility Factor calculation can be explained with given input values -> 1005.506 = ((11.31975-1)*[R]*450)/38.4.

FAQ

What is Second Virial Coefficient using Compressibility Factor?
The Second Virial Coefficient using Compressibility Factor formula is defined as the ratio of the product of the universal gas constant, temperature and the difference between the compressibility factor and unity to the pressure and is represented as B = ((z-1)*[R]*T)/p or Second Virial Coefficient = ((Compressibility Factor-1)*[R]*Temperature)/Pressure. Compressibility factor is the factor of correction that describes the deviation of the real gas from the ideal gas, Temperature is the degree or intensity of heat present in a substance or object & Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.
How to calculate Second Virial Coefficient using Compressibility Factor?
The Second Virial Coefficient using Compressibility Factor formula is defined as the ratio of the product of the universal gas constant, temperature and the difference between the compressibility factor and unity to the pressure is calculated using Second Virial Coefficient = ((Compressibility Factor-1)*[R]*Temperature)/Pressure. To calculate Second Virial Coefficient using Compressibility Factor, you need Compressibility Factor (z), Temperature (T) & Pressure (p). With our tool, you need to enter the respective value for Compressibility Factor, Temperature & 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 Second Virial Coefficient?
In this formula, Second Virial Coefficient uses Compressibility Factor, Temperature & Pressure. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Second Virial Coefficient = (Reduced Second Virial Coefficient*[R]*Critical Temperature)/Critical Pressure
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