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

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The fugacity coefficient of component 1 is the ratio of fugacity of component 1 to the pressure of component 1. Check FAQs

ϕ 1 = \exp (\frac{B 11 \cdot (P VLE - P1 sat) + P VLE \cdot ({y 2}^{2}) \cdot (2 \cdot B 12 - B 11 - B 22)}{[R] \cdot T VLE})

ϕ₁ - Fugacity Coefficient of Component 1?B₁₁ - Second Virial Coefficient 11?P_VLE - Pressure in Liquid Vapour System?P1^sat - Saturated Pressure of Component 1?y₂ - Mole Fraction of Component 2 in Vapour Phase?B₁₂ - Second Virial Coefficient 12?B₂₂ - Second Virial Coefficient 22?T_VLE - Temperature of Liquid Vapour System?[R] - Universal gas constant?

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

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Here is how the Vapour Fugacity Coefficient of Comp. 1 using Sat. Pressure and Second Virial Coefficients equation looks like with Values.

Here is how the Vapour Fugacity Coefficient of Comp. 1 using Sat. Pressure and Second Virial Coefficients equation looks like with Units.

Here is how the Vapour Fugacity Coefficient of Comp. 1 using Sat. Pressure and Second Virial Coefficients equation looks like.

1.0612 = \exp (\frac{0.25 \cdot (800 - 10) + 800 \cdot ({0.55}^{2}) \cdot (2 \cdot 0.27 - 0.25 - 0.29)}{8.3145 \cdot 400})

1.0612 = \exp (\frac{0.25m³ \cdot (800Pa - 10Pa) + 800Pa \cdot ({0.55}^{2}) \cdot (2 \cdot 0.27m³ - 0.25m³ - 0.29m³)}{8.3145 \cdot 400K})

1.0612 = \exp (\frac{0.25 \cdot (800 - 10) + 800 \cdot ({0.55}^{2}) \cdot (2 \cdot 0.27 - 0.25 - 0.29)}{8.3145 \cdot 400})

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

Follow our step by step solution on how to calculate Vapour Fugacity Coefficient of Comp. 1 using Sat. Pressure and Second Virial Coefficients?

FIRST Step Consider the formula

ϕ 1 = \exp (\frac{B 11 \cdot (P VLE - P1 sat) + P VLE \cdot ({y 2}^{2}) \cdot (2 \cdot B 12 - B 11 - B 22)}{[R] \cdot T VLE})

Next Step Substitute values of Variables

∴

ϕ 1 = \exp (\frac{0.25m³ \cdot (800Pa - 10Pa) + 800Pa \cdot ({0.55}^{2}) \cdot (2 \cdot 0.27m³ - 0.25m³ - 0.29m³)}{[R] \cdot 400K})

Next Step Substitute values of Constants

∴

ϕ 1 = \exp (\frac{0.25m³ \cdot (800Pa - 10Pa) + 800Pa \cdot ({0.55}^{2}) \cdot (2 \cdot 0.27m³ - 0.25m³ - 0.29m³)}{8.3145 \cdot 400K})

Next Step Prepare to Evaluate

∴

ϕ 1 = \exp (\frac{0.25 \cdot (800 - 10) + 800 \cdot ({0.55}^{2}) \cdot (2 \cdot 0.27 - 0.25 - 0.29)}{8.3145 \cdot 400})

Next Step Evaluate

∴

ϕ 1 = 1.06118316103418

LAST Step Rounding Answer

∴

ϕ 1 = 1.0612

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

Variables

Constants

Functions

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.

Symbol: ϕ₁

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Fugacity Coefficient of Component 1

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: m³

Note: Value can be positive or negative.

Formulas to find Second Virial Coefficient 11

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: P_VLE

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Pressure in Liquid Vapour System

Saturated Pressure of Component 1

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.

Symbol: P1^sat

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Saturated Pressure of Component 1

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.

Symbol: y₂

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Mole Fraction of Component 2 in Vapour Phase

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: m³

Note: Value can be positive or negative.

Formulas to find Second Virial Coefficient 12

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: m³

Note: Value can be positive or negative.

Formulas to find Second Virial Coefficient 22

Temperature of Liquid Vapour System

Temperature of liquid vapour system is the degree or intensity of heat present in a substance or object.

Symbol: T_VLE

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Temperature of Liquid Vapour System

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

ϕ1 sat = \exp (\frac{B 11 \cdot P1 sat}{[R] \cdot T VLE})

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

ϕ2 sat = \exp (\frac{B 22 \cdot P2 sat}{[R] \cdot T VLE})

How to Evaluate 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 evaluator 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 evaluate 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 evaluate Vapour Fugacity Coefficient of Comp. 1 using Sat. Pressure and Second Virial Coefficients using this online evaluator? To use this online evaluator 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.

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

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

The formula of Vapour Fugacity Coefficient of Comp. 1 using Sat. Pressure and Second Virial Coefficients is expressed as 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)). Here is an example- 1.061183 = exp((0.25*(800-10)+800*(0.55^2)*(2*0.27-0.25-0.29))/([R]*400)).

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

With 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) we can find Vapour Fugacity Coefficient of Comp. 1 using Sat. Pressure and Second Virial Coefficients using the formula - 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)). This formula also uses Universal gas constant and Exponential Growth Function function(s).

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

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

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

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

Other formulas in Fitting Activity Coefficient Models to VLE Data category

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

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

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