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

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The Fugacity Coefficient of Component 2 is the ratio of fugacity of component 2 to the pressure of component 2. Check FAQs
ϕ2=exp(B22(PVLE-P2sat)+PVLE(y12)(2B12-B11-B22)[R]TVLE)
ϕ2 - Fugacity Coefficient of Component 2?B22 - Second Virial Coefficient 22?PVLE - Pressure in Liquid Vapour System?P2sat - Saturated Pressure of Component 2?y1 - Mole Fraction of Component 1 in Vapour Phase?B12 - Second Virial Coefficient 12?B11 - Second Virial Coefficient 11?TVLE - Temperature of Liquid Vapour System?[R] - Universal gas constant?

Vapour Fugacity Coefficient of Comp. 2 using Sat. Pressure and Second Virial Coefficients Example

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Here is how the Vapour Fugacity Coefficient of Comp. 2 using Sat. Pressure and Second Virial Coefficients equation looks like with Values.

Here is how the Vapour Fugacity Coefficient of Comp. 2 using Sat. Pressure and Second Virial Coefficients equation looks like with Units.

Here is how the Vapour Fugacity Coefficient of Comp. 2 using Sat. Pressure and Second Virial Coefficients equation looks like.

1.0708Edit=exp(0.29Edit(800Edit-15Edit)+800Edit(0.5Edit2)(20.27Edit-0.25Edit-0.29Edit)8.3145400Edit)
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Vapour Fugacity Coefficient of Comp. 2 using Sat. Pressure and Second Virial Coefficients Solution

Follow our step by step solution on how to calculate Vapour Fugacity Coefficient of Comp. 2 using Sat. Pressure and Second Virial Coefficients?

FIRST Step Consider the formula
ϕ2=exp(B22(PVLE-P2sat)+PVLE(y12)(2B12-B11-B22)[R]TVLE)
Next Step Substitute values of Variables
ϕ2=exp(0.29(800Pa-15Pa)+800Pa(0.52)(20.27-0.25-0.29)[R]400K)
Next Step Substitute values of Constants
ϕ2=exp(0.29(800Pa-15Pa)+800Pa(0.52)(20.27-0.25-0.29)8.3145400K)
Next Step Prepare to Evaluate
ϕ2=exp(0.29(800-15)+800(0.52)(20.27-0.25-0.29)8.3145400)
Next Step Evaluate
ϕ2=1.07084708560993
LAST Step Rounding Answer
ϕ2=1.0708

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

Variables
Constants
Functions
Fugacity Coefficient of Component 2
The Fugacity Coefficient of Component 2 is the ratio of fugacity of component 2 to the pressure of component 2.
Symbol: ϕ2
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
Second Virial Coefficient 22
The second virial coefficient 22 describes the contribution of the pair-wise potential of component 2 with itself to the pressure of the gas.
Symbol: B22
Measurement: VolumeUnit:
Note: Value can be positive or negative.
Pressure in Liquid Vapour System
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.
Symbol: PVLE
Measurement: PressureUnit: Pa
Note: Value can be positive or negative.
Saturated Pressure of Component 2
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.
Symbol: P2sat
Measurement: PressureUnit: Pa
Note: Value can be positive or negative.
Mole Fraction of Component 1 in Vapour Phase
The mole fraction of component 1 in vapour phase can be defined as the ratio of the number of moles a component 1 to the total number of moles of components present in the vapour phase.
Symbol: y1
Measurement: NAUnit: Unitless
Note: Value should be between 0 to 1.
Second Virial Coefficient 12
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.
Symbol: B12
Measurement: VolumeUnit:
Note: Value can be positive or negative.
Second Virial Coefficient 11
The second virial coefficient 11 describes the contribution of the pair-wise potential of component 1 with itself to the pressure of the gas.
Symbol: B11
Measurement: VolumeUnit:
Note: Value can be positive or negative.
Temperature of Liquid Vapour System
Temperature of liquid vapour system is the degree or intensity of heat present in a substance or object.
Symbol: TVLE
Measurement: TemperatureUnit: K
Note: Value can be positive or negative.
Universal gas constant
Universal gas constant is a fundamental physical constant that appears in the ideal gas law, relating the pressure, volume, and temperature of an ideal gas.
Symbol: [R]
Value: 8.31446261815324
exp
n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable.
Syntax: exp(Number)

Other formulas in Fitting Activity Coefficient Models to VLE Data category

​Go Saturated Vapour Fugacity Coefficient of Comp. 1 using Sat. Pressure and Second Virial Coefficient
ϕ1sat=exp(B11P1sat[R]TVLE)
​Go Saturated Vapour Fugacity Coefficient of Comp. 2 using Sat. Pressure and Second Virial Coefficient
ϕ2sat=exp(B22P2sat[R]TVLE)

How to Evaluate Vapour Fugacity Coefficient of Comp. 2 using Sat. Pressure and Second Virial Coefficients?

Vapour Fugacity Coefficient of Comp. 2 using Sat. Pressure and Second Virial Coefficients evaluator uses 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)) to evaluate the Fugacity Coefficient of Component 2, The Vapour Fugacity Coefficient of Comp. 2 using Sat. Pressure and Second Virial Coefficients formula is defined as the function of pressure, saturated pressure of component 2, the mole fraction of component 1 and the second viral coefficients B11, B12 and B22. Fugacity Coefficient of Component 2 is denoted by ϕ2 symbol.

How to evaluate Vapour Fugacity Coefficient of Comp. 2 using Sat. Pressure and Second Virial Coefficients using this online evaluator? To use this online evaluator for Vapour Fugacity Coefficient of Comp. 2 using Sat. Pressure and Second Virial Coefficients, enter Second Virial Coefficient 22 (B22), Pressure in Liquid Vapour System (PVLE), Saturated Pressure of Component 2 (P2sat), Mole Fraction of Component 1 in Vapour Phase (y1), Second Virial Coefficient 12 (B12), Second Virial Coefficient 11 (B11) & Temperature of Liquid Vapour System (TVLE) and hit the calculate button.

FAQs on Vapour Fugacity Coefficient of Comp. 2 using Sat. Pressure and Second Virial Coefficients

What is the formula to find Vapour Fugacity Coefficient of Comp. 2 using Sat. Pressure and Second Virial Coefficients?
The formula of Vapour Fugacity Coefficient of Comp. 2 using Sat. Pressure and Second Virial Coefficients is expressed as 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)). Here is an example- 1.070847 = exp((0.29*(800-15)+800*(0.5^2)*(2*0.27-0.25-0.29))/([R]*400)).
How to calculate Vapour Fugacity Coefficient of Comp. 2 using Sat. Pressure and Second Virial Coefficients?
With Second Virial Coefficient 22 (B22), Pressure in Liquid Vapour System (PVLE), Saturated Pressure of Component 2 (P2sat), Mole Fraction of Component 1 in Vapour Phase (y1), Second Virial Coefficient 12 (B12), Second Virial Coefficient 11 (B11) & Temperature of Liquid Vapour System (TVLE) we can find Vapour Fugacity Coefficient of Comp. 2 using Sat. Pressure and Second Virial Coefficients using the formula - 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)). This formula also uses Universal gas constant and Exponential Growth (exp) function(s).
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