Vapour Fugacity Coefficient of Comp. 1 using Sat. Pressure and Second Virial Coefficients Calculator

✖The second virial coefficient 11 describes the contribution of the pair-wise potential of component 1 with itself to the pressure of the gas.ⓘ Second Virial Coefficient 11 [B₁₁]			+10% -10%
✖Pressure in liquid vapour system is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.ⓘ Pressure in Liquid Vapour System [P_VLE]			+10% -10%
✖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.ⓘ Saturated Pressure of Component 1 [P1^sat]			+10% -10%
✖The Mole Fraction of Component 2 in Vapour Phase can be defined as the ratio of the number of moles a component 2 to the total number of moles of components present in the vapour phase.ⓘ Mole Fraction of Component 2 in Vapour Phase [y₂]			+10% -10%
✖The second virial coefficient 12 describes the contribution of the pair-wise potential of component 1 with component 2 to the pressure of the gas.ⓘ Second Virial Coefficient 12 [B₁₂]			+10% -10%
✖The second virial coefficient 22 describes the contribution of the pair-wise potential of component 2 with itself to the pressure of the gas.ⓘ Second Virial Coefficient 22 [B₂₂]			+10% -10%
✖Temperature of liquid vapour system is the degree or intensity of heat present in a substance or object.ⓘ Temperature of Liquid Vapour System [T_VLE]			+10% -10%

✖The fugacity coefficient of component 1 is the ratio of fugacity of component 1 to the pressure of component 1.ⓘ Vapour Fugacity Coefficient of Comp. 1 using Sat. Pressure and Second Virial Coefficients [ϕ₁]

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

STEP 0: Pre-Calculation Summary

Formula Used

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))
ϕ₁ = exp((B₁₁*(P_VLE-P1^sat)+P_VLE*(y₂^2)*(2*B₁₂-B₁₁-B₂₂))/([R]*T_VLE))
This formula uses 1 Constants, 1 Functions, 8 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Functions Used

exp - n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable., exp(Number)

Variables Used

Fugacity Coefficient of Component 1 - The fugacity coefficient of component 1 is the ratio of fugacity of component 1 to the pressure of component 1.
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.
Pressure in Liquid Vapour System - (Measured in Pascal) - Pressure in liquid vapour system is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.
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.
Mole Fraction of Component 2 in Vapour Phase - The Mole Fraction of Component 2 in Vapour Phase can be defined as the ratio of the number of moles a component 2 to the total number of moles of components present in the vapour phase.
Second Virial Coefficient 12 - (Measured in Cubic Meter) - The second virial coefficient 12 describes the contribution of the pair-wise potential of component 1 with component 2 to the pressure of the gas.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Second Virial Coefficient 11: 0.25 Cubic Meter --> 0.25 Cubic Meter No Conversion Required
Pressure in Liquid Vapour System: 800 Pascal --> 800 Pascal No Conversion Required
Saturated Pressure of Component 1: 10 Pascal --> 10 Pascal No Conversion Required
Mole Fraction of Component 2 in Vapour Phase: 0.55 --> No Conversion Required
Second Virial Coefficient 12: 0.27 Cubic Meter --> 0.27 Cubic Meter No Conversion Required
Second Virial Coefficient 22: 0.29 Cubic Meter --> 0.29 Cubic Meter No Conversion Required
Temperature of Liquid Vapour System: 400 Kelvin --> 400 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ϕ₁ = exp((B₁₁*(P_VLE-P1^sat)+P_VLE*(y₂^2)*(2*B₁₂-B₁₁-B₂₂))/([R]*T_VLE)) --> exp((0.25*(800-10)+800*(0.55^2)*(2*0.27-0.25-0.29))/([R]*400))

Evaluating ... ...

ϕ₁ = 1.06118316103418

STEP 3: Convert Result to Output's Unit

1.06118316103418 --> No Conversion Required

FINAL ANSWER

1.06118316103418 ≈ 1.061183 <-- Fugacity Coefficient of Component 1

(Calculation completed in 00.004 seconds)

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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

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

LaTeX Go

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 Vapour Fugacity Coefficient of Comp. 1 using Sat. Pressure and Second Virial Coefficients?

Vapour Fugacity Coefficient of Comp. 1 using Sat. Pressure and Second Virial Coefficients calculator uses 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)) to calculate the Fugacity Coefficient of Component 1, The Vapour Fugacity Coefficient of Comp. 1 using Sat. Pressure and Second Virial Coefficients formula is defined as the function of pressure, saturated pressure of component 1, the mole fraction of component 2 and the second viral coefficients B11, B12 and B22. Fugacity Coefficient of Component 1 is denoted by ϕ₁ symbol.

How to calculate Vapour Fugacity Coefficient of Comp. 1 using Sat. Pressure and Second Virial Coefficients using this online calculator? To use this online calculator for Vapour Fugacity Coefficient of Comp. 1 using Sat. Pressure and Second Virial Coefficients, enter Second Virial Coefficient 11 (B₁₁), Pressure in Liquid Vapour System (P_VLE), Saturated Pressure of Component 1 (P1^sat), Mole Fraction of Component 2 in Vapour Phase (y₂), Second Virial Coefficient 12 (B₁₂), Second Virial Coefficient 22 (B₂₂) & Temperature of Liquid Vapour System (T_VLE) and hit the calculate button. Here is how the Vapour Fugacity Coefficient of Comp. 1 using Sat. Pressure and Second Virial Coefficients calculation can be explained with given input values -> 1.061183 = exp((0.25*(800-10)+800*(0.55^2)*(2*0.27-0.25-0.29))/([R]*400)).

FAQ

What is Vapour Fugacity Coefficient of Comp. 1 using Sat. Pressure and Second Virial Coefficients?

The Vapour Fugacity Coefficient of Comp. 1 using Sat. Pressure and Second Virial Coefficients formula is defined as the function of pressure, saturated pressure of component 1, the mole fraction of component 2 and the second viral coefficients B11, B12 and B22 and is represented as ϕ₁ = exp((B₁₁*(P_VLE-P1^sat)+P_VLE*(y₂^2)*(2*B₁₂-B₁₁-B₂₂))/([R]*T_VLE)) or 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)). The second virial coefficient 11 describes the contribution of the pair-wise potential of component 1 with itself to the pressure of the gas, Pressure in liquid vapour system is the force applied perpendicular to the surface of an object per unit area over which that force is distributed, 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, The Mole Fraction of Component 2 in Vapour Phase can be defined as the ratio of the number of moles a component 2 to the total number of moles of components present in the vapour phase, The second virial coefficient 12 describes the contribution of the pair-wise potential of component 1 with component 2 to the pressure of the gas, The second virial coefficient 22 describes the contribution of the pair-wise potential of component 2 with itself to the pressure of the gas & Temperature of liquid vapour system is the degree or intensity of heat present in a substance or object.

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

The Vapour Fugacity Coefficient of Comp. 1 using Sat. Pressure and Second Virial Coefficients formula is defined as the function of pressure, saturated pressure of component 1, the mole fraction of component 2 and the second viral coefficients B11, B12 and B22 is calculated using 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)). To calculate Vapour Fugacity Coefficient of Comp. 1 using Sat. Pressure and Second Virial Coefficients, you need Second Virial Coefficient 11 (B₁₁), Pressure in Liquid Vapour System (P_VLE), Saturated Pressure of Component 1 (P1^sat), Mole Fraction of Component 2 in Vapour Phase (y₂), Second Virial Coefficient 12 (B₁₂), Second Virial Coefficient 22 (B₂₂) & Temperature of Liquid Vapour System (T_VLE). With our tool, you need to enter the respective value for Second Virial Coefficient 11, Pressure in Liquid Vapour System, Saturated Pressure of Component 1, Mole Fraction of Component 2 in Vapour Phase, Second Virial Coefficient 12, Second Virial Coefficient 22 & Temperature of Liquid Vapour System 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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