Saturated Pressure of Comp. 2 using Second Virial Coefficient and Sat. Vapour Fugacity Coefficient Solution

STEP 0: Pre-Calculation Summary
Formula Used
Saturated Pressure of Component 2 = (ln(Saturated Fugacity Coefficient of Component 2)*[R]*Temperature of Liquid Vapour System)/Second Virial Coefficient 22
P2sat = (ln(ϕ2sat)*[R]*TVLE)/B22
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
Saturated Pressure of Component 2 - (Measured in Pascal) - Saturated pressure of component 2 is the pressure at which the given component 2 liquid and its vapour or a given solid and its vapour can co-exist in equilibrium, at a given temperature.
Saturated Fugacity Coefficient of Component 2 - The Saturated Fugacity Coefficient of Component 2 is the ratio of the saturated fugacity of component 2 to the saturated pressure of component 2.
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.
Second Virial Coefficient 22 - (Measured in Cubic Meter) - The second virial coefficient 22 describes the contribution of the pair-wise potential of component 2 with itself to the pressure of the gas.
STEP 1: Convert Input(s) to Base Unit
Saturated Fugacity Coefficient of Component 2: 1.18 --> No Conversion Required
Temperature of Liquid Vapour System: 400 Kelvin --> 400 Kelvin No Conversion Required
Second Virial Coefficient 22: 0.29 Cubic Meter --> 0.29 Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P2sat = (ln(ϕ2sat)*[R]*TVLE)/B22 --> (ln(1.18)*[R]*400)/0.29
Evaluating ... ...
P2sat = 1898.15670549849
STEP 3: Convert Result to Output's Unit
1898.15670549849 Pascal --> No Conversion Required
FINAL ANSWER
1898.15670549849 1898.157 Pascal <-- Saturated Pressure of Component 2
(Calculation completed in 00.020 seconds)

Credits

Created by Shivam Sinha
National Institute Of Technology (NIT), Surathkal
Shivam Sinha has created this Calculator and 300+ more calculators!
Verified by Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
Akshada Kulkarni has verified this Calculator and 900+ more calculators!

9 Fitting Activity Coefficient Models to VLE Data Calculators

Vapour Fugacity Coefficient of Comp. 1 using Sat. Pressure and Second Virial Coefficients
Go Fugacity Coefficient of Component 1 = exp((Second Virial Coefficient 11*(Pressure in Liquid Vapour System-Saturated Pressure of Component 1)+Pressure in Liquid Vapour System*(Mole Fraction of Component 2 in Vapour Phase^2)*(2*Second Virial Coefficient 12-Second Virial Coefficient 11-Second Virial Coefficient 22))/([R]*Temperature of Liquid Vapour System))
Vapour Fugacity Coefficient of Comp. 2 using Sat. Pressure and Second Virial Coefficients
Go Fugacity Coefficient of Component 2 = exp((Second Virial Coefficient 22*(Pressure in Liquid Vapour System-Saturated Pressure of Component 2)+Pressure in Liquid Vapour System*(Mole Fraction of Component 1 in Vapour Phase^2)*(2*Second Virial Coefficient 12-Second Virial Coefficient 11-Second Virial Coefficient 22))/([R]*Temperature of Liquid Vapour System))
Excess Gibbs Free Energy using Activity Coefficients and Liquid Mole Fractions
Go Excess Gibbs Free Energy = ([R]*Temperature of Liquid Vapour System)*(Mole Fraction of Component 1 in Liquid Phase*ln(Activity Coefficient of Component 1)+Mole Fraction of Component 2 in Liquid Phase*ln(Activity Coefficient of Component 2))
Saturated Vapour Fugacity Coefficient of Comp. 1 using Sat. Pressure and Second Virial Coefficient
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
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
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
Go Second Virial Coefficient 22 = (ln(Saturated Fugacity Coefficient of Component 2)*[R]*Temperature of Liquid Vapour System)/Saturated Pressure of Component 2
Saturated Pressure of Comp. 1 using Second Virial Coefficient and Sat. Vapour Fugacity Coefficient
Go Saturated Pressure of Component 1 = (ln(Saturated Fugacity Coefficient of Component 1)*[R]*Temperature of Liquid Vapour System)/Second Virial Coefficient 11
Saturated Pressure of Comp. 2 using Second Virial Coefficient and Sat. Vapour Fugacity Coefficient
Go Saturated Pressure of Component 2 = (ln(Saturated Fugacity Coefficient of Component 2)*[R]*Temperature of Liquid Vapour System)/Second Virial Coefficient 22

Saturated Pressure of Comp. 2 using Second Virial Coefficient and Sat. Vapour Fugacity Coefficient Formula

Saturated Pressure of Component 2 = (ln(Saturated Fugacity Coefficient of Component 2)*[R]*Temperature of Liquid Vapour System)/Second Virial Coefficient 22
P2sat = (ln(ϕ2sat)*[R]*TVLE)/B22

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 Saturated Pressure of Comp. 2 using Second Virial Coefficient and Sat. Vapour Fugacity Coefficient?

Saturated Pressure of Comp. 2 using Second Virial Coefficient and Sat. Vapour Fugacity Coefficient calculator uses Saturated Pressure of Component 2 = (ln(Saturated Fugacity Coefficient of Component 2)*[R]*Temperature of Liquid Vapour System)/Second Virial Coefficient 22 to calculate the Saturated Pressure of Component 2, The Saturated Pressure of Comp. 2 using Second Virial Coefficient and Sat. Vapour Fugacity Coefficient formula is defined as the ratio of the product of natural logarithm of saturated fugacity coefficient of component 2, universal gas constant and temperature to the second virial coefficient for component 2 to itself. Saturated Pressure of Component 2 is denoted by P2sat symbol.

How to calculate Saturated Pressure of Comp. 2 using Second Virial Coefficient and Sat. Vapour Fugacity Coefficient using this online calculator? To use this online calculator for Saturated Pressure of Comp. 2 using Second Virial Coefficient and Sat. Vapour Fugacity Coefficient, enter Saturated Fugacity Coefficient of Component 2 (ϕ2sat), Temperature of Liquid Vapour System (TVLE) & Second Virial Coefficient 22 (B22) and hit the calculate button. Here is how the Saturated Pressure of Comp. 2 using Second Virial Coefficient and Sat. Vapour Fugacity Coefficient calculation can be explained with given input values -> 1898.157 = (ln(1.18)*[R]*400)/0.29.

FAQ

What is Saturated Pressure of Comp. 2 using Second Virial Coefficient and Sat. Vapour Fugacity Coefficient?
The Saturated Pressure of Comp. 2 using Second Virial Coefficient and Sat. Vapour Fugacity Coefficient formula is defined as the ratio of the product of natural logarithm of saturated fugacity coefficient of component 2, universal gas constant and temperature to the second virial coefficient for component 2 to itself and is represented as P2sat = (ln(ϕ2sat)*[R]*TVLE)/B22 or Saturated Pressure of Component 2 = (ln(Saturated Fugacity Coefficient of Component 2)*[R]*Temperature of Liquid Vapour System)/Second Virial Coefficient 22. The Saturated Fugacity Coefficient of Component 2 is the ratio of the saturated fugacity of component 2 to the saturated pressure of component 2, Temperature of liquid vapour system is the degree or intensity of heat present in a substance or object & The second virial coefficient 22 describes the contribution of the pair-wise potential of component 2 with itself to the pressure of the gas.
How to calculate Saturated Pressure of Comp. 2 using Second Virial Coefficient and Sat. Vapour Fugacity Coefficient?
The Saturated Pressure of Comp. 2 using Second Virial Coefficient and Sat. Vapour Fugacity Coefficient formula is defined as the ratio of the product of natural logarithm of saturated fugacity coefficient of component 2, universal gas constant and temperature to the second virial coefficient for component 2 to itself is calculated using Saturated Pressure of Component 2 = (ln(Saturated Fugacity Coefficient of Component 2)*[R]*Temperature of Liquid Vapour System)/Second Virial Coefficient 22. To calculate Saturated Pressure of Comp. 2 using Second Virial Coefficient and Sat. Vapour Fugacity Coefficient, you need Saturated Fugacity Coefficient of Component 2 (ϕ2sat), Temperature of Liquid Vapour System (TVLE) & Second Virial Coefficient 22 (B22). With our tool, you need to enter the respective value for Saturated Fugacity Coefficient of Component 2, Temperature of Liquid Vapour System & Second Virial Coefficient 22 and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!