Second Virial Coefficient of Comp. 1 using Sat. Pressure and Saturated Vapour Fugacity Coefficient Solution

STEP 0: Pre-Calculation Summary
Formula Used
Second Virial Coefficient 11 = (ln(Saturated Fugacity Coefficient of Component 1)*[R]*Temperature of Liquid Vapour System)/Saturated Pressure of Component 1
B11 = (ln(ϕ1sat)*[R]*TVLE)/P1sat
This formula uses 1 Constants, 1 Functions, 4 Variables
Constants Used
[R] - Universal gas constant Value Taken As 8.31446261815324
Functions Used
ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)
Variables Used
Second Virial Coefficient 11 - (Measured in Cubic Meter) - The second virial coefficient 11 describes the contribution of the pair-wise potential of component 1 with itself to the pressure of the gas.
Saturated Fugacity Coefficient of Component 1 - The Saturated Fugacity Coefficient of Component 1 is the ratio of the saturated fugacity of component 1 to the saturated pressure of component 1.
Temperature of Liquid Vapour System - (Measured in Kelvin) - Temperature of liquid vapour system is the degree or intensity of heat present in a substance or object.
Saturated Pressure of Component 1 - (Measured in Pascal) - Saturated pressure of component 1 is the pressure at which the given component 1 liquid and its vapour or a given solid and its vapour can co-exist in equilibrium, at a given temperature.
STEP 1: Convert Input(s) to Base Unit
Saturated Fugacity Coefficient of Component 1: 1.17 --> No Conversion Required
Temperature of Liquid Vapour System: 400 Kelvin --> 400 Kelvin No Conversion Required
Saturated Pressure of Component 1: 10 Pascal --> 10 Pascal No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
B11 = (ln(ϕ1sat)*[R]*TVLE)/P1sat --> (ln(1.17)*[R]*400)/10
Evaluating ... ...
B11 = 52.2160720155151
STEP 3: Convert Result to Output's Unit
52.2160720155151 Cubic Meter --> No Conversion Required
FINAL ANSWER
52.2160720155151 52.21607 Cubic Meter <-- Second Virial Coefficient 11
(Calculation completed in 00.004 seconds)

Credits

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Created by Shivam Sinha
National Institute Of Technology (NIT), Surathkal
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Verified by Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
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Fitting Activity Coefficient Models to VLE Data Calculators

Saturated Vapour Fugacity Coefficient of Comp. 1 using Sat. Pressure and Second Virial Coefficient
​ LaTeX ​ Go Saturated Fugacity Coefficient of Component 1 = exp((Second Virial Coefficient 11*Saturated Pressure of Component 1)/([R]*Temperature of Liquid Vapour System))
Saturated Vapour Fugacity Coefficient of Comp. 2 using Sat. Pressure and Second Virial Coefficient
​ LaTeX ​ Go Saturated Fugacity Coefficient of Component 2 = exp((Second Virial Coefficient 22*Saturated Pressure of Component 2)/([R]*Temperature of Liquid Vapour System))
Second Virial Coefficient of Comp. 1 using Sat. Pressure and Saturated Vapour Fugacity Coefficient
​ LaTeX ​ Go Second Virial Coefficient 11 = (ln(Saturated Fugacity Coefficient of Component 1)*[R]*Temperature of Liquid Vapour System)/Saturated Pressure of Component 1
Second Virial Coefficient of Comp. 2 using Saturated Pressure and Sat. Vapour Fugacity Coefficient
​ LaTeX ​ Go Second Virial Coefficient 22 = (ln(Saturated Fugacity Coefficient of Component 2)*[R]*Temperature of Liquid Vapour System)/Saturated Pressure of Component 2

Second Virial Coefficient of Comp. 1 using Sat. Pressure and Saturated Vapour Fugacity Coefficient Formula

​LaTeX ​Go
Second Virial Coefficient 11 = (ln(Saturated Fugacity Coefficient of Component 1)*[R]*Temperature of Liquid Vapour System)/Saturated Pressure of Component 1
B11 = (ln(ϕ1sat)*[R]*TVLE)/P1sat

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).

What is Duhem’s Theorem?

For any closed system formed from known amounts of prescribed chemical species, the equilibrium state is completely determined when any two independent variables are fixed. The two independent variables subject to specification may in general be either intensive or extensive. However, the number of independent intensive variables is given by the phase rule. Thus when F = 1, at least one of the two variables must be extensive, and when F = 0, both must be extensive.

How to Calculate Second Virial Coefficient of Comp. 1 using Sat. Pressure and Saturated Vapour Fugacity Coefficient?

Second Virial Coefficient of Comp. 1 using Sat. Pressure and Saturated Vapour Fugacity Coefficient calculator uses Second Virial Coefficient 11 = (ln(Saturated Fugacity Coefficient of Component 1)*[R]*Temperature of Liquid Vapour System)/Saturated Pressure of Component 1 to calculate the Second Virial Coefficient 11, The Second Virial Coefficient of Comp. 1 using Sat. Pressure and Saturated Vapour Fugacity Coefficient formula is defined as the ratio of the product of natural logarithm of saturated fugacity coefficient of component 1, universal gas constant and temperature to the saturated pressure of component 1. Second Virial Coefficient 11 is denoted by B11 symbol.

How to calculate Second Virial Coefficient of Comp. 1 using Sat. Pressure and Saturated Vapour Fugacity Coefficient using this online calculator? To use this online calculator for Second Virial Coefficient of Comp. 1 using Sat. Pressure and Saturated Vapour Fugacity Coefficient, enter Saturated Fugacity Coefficient of Component 1 (ϕ1sat), Temperature of Liquid Vapour System (TVLE) & Saturated Pressure of Component 1 (P1sat) and hit the calculate button. Here is how the Second Virial Coefficient of Comp. 1 using Sat. Pressure and Saturated Vapour Fugacity Coefficient calculation can be explained with given input values -> 52.21607 = (ln(1.17)*[R]*400)/10.

FAQ

What is Second Virial Coefficient of Comp. 1 using Sat. Pressure and Saturated Vapour Fugacity Coefficient?
The Second Virial Coefficient of Comp. 1 using Sat. Pressure and Saturated Vapour Fugacity Coefficient formula is defined as the ratio of the product of natural logarithm of saturated fugacity coefficient of component 1, universal gas constant and temperature to the saturated pressure of component 1 and is represented as B11 = (ln(ϕ1sat)*[R]*TVLE)/P1sat or Second Virial Coefficient 11 = (ln(Saturated Fugacity Coefficient of Component 1)*[R]*Temperature of Liquid Vapour System)/Saturated Pressure of Component 1. The Saturated Fugacity Coefficient of Component 1 is the ratio of the saturated fugacity of component 1 to the saturated pressure of component 1, Temperature of liquid vapour system is the degree or intensity of heat present in a substance or object & Saturated pressure of component 1 is the pressure at which the given component 1 liquid and its vapour or a given solid and its vapour can co-exist in equilibrium, at a given temperature.
How to calculate Second Virial Coefficient of Comp. 1 using Sat. Pressure and Saturated Vapour Fugacity Coefficient?
The Second Virial Coefficient of Comp. 1 using Sat. Pressure and Saturated Vapour Fugacity Coefficient formula is defined as the ratio of the product of natural logarithm of saturated fugacity coefficient of component 1, universal gas constant and temperature to the saturated pressure of component 1 is calculated using Second Virial Coefficient 11 = (ln(Saturated Fugacity Coefficient of Component 1)*[R]*Temperature of Liquid Vapour System)/Saturated Pressure of Component 1. To calculate Second Virial Coefficient of Comp. 1 using Sat. Pressure and Saturated Vapour Fugacity Coefficient, you need Saturated Fugacity Coefficient of Component 1 (ϕ1sat), Temperature of Liquid Vapour System (TVLE) & Saturated Pressure of Component 1 (P1sat). With our tool, you need to enter the respective value for Saturated Fugacity Coefficient of Component 1, Temperature of Liquid Vapour System & Saturated Pressure of Component 1 and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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