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Fugacity Coefficient using Gamma-Phi Formulation of VLE Formula

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Fugacity coefficient is the ratio of fugacity to the pressure of that component. Check FAQs

ϕ = \frac{x Liquid \cdot γ \cdot P sat}{y Gas \cdot P T}

ϕ - Fugacity Coefficient?x_Liquid - Mole Fraction of Component in Liquid Phase?γ - Activity Coefficient?P^sat - Saturated pressure?y_Gas - Mole Fraction of Component in Vapor Phase?P_T - Total Pressure of Gas?

Fugacity Coefficient using Gamma-Phi Formulation of VLE Example

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Here is how the Fugacity Coefficient using Gamma-Phi Formulation of VLE equation looks like with Values.

Here is how the Fugacity Coefficient using Gamma-Phi Formulation of VLE equation looks like with Units.

Here is how the Fugacity Coefficient using Gamma-Phi Formulation of VLE equation looks like.

1.2488 = \frac{0.51 \cdot 1.5 \cdot 50000}{0.3 \cdot 102100}

1.2488 = \frac{0.51 \cdot 1.5 \cdot 50000Pa}{0.3 \cdot 102100Pa}

1.2488 = \frac{0.51 \cdot 1.5 \cdot 50000}{0.3 \cdot 102100}

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Fugacity Coefficient using Gamma-Phi Formulation of VLE Solution

Follow our step by step solution on how to calculate Fugacity Coefficient using Gamma-Phi Formulation of VLE?

FIRST Step Consider the formula

ϕ = \frac{x Liquid \cdot γ \cdot P sat}{y Gas \cdot P T}

Next Step Substitute values of Variables

∴

ϕ = \frac{0.51 \cdot 1.5 \cdot 50000Pa}{0.3 \cdot 102100Pa}

Next Step Prepare to Evaluate

∴

ϕ = \frac{0.51 \cdot 1.5 \cdot 50000}{0.3 \cdot 102100}

Next Step Evaluate

∴

ϕ = 1.24877571008815

LAST Step Rounding Answer

∴

ϕ = 1.2488

Fugacity Coefficient using Gamma-Phi Formulation of VLE Formula Elements

Variables

Fugacity Coefficient

Fugacity coefficient is the ratio of fugacity to the pressure of that component.

Symbol: ϕ

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Fugacity Coefficient

Mole Fraction of Component in Liquid Phase

The Mole Fraction of Component in Liquid Phase can be defined as the ratio of the number of moles a component to the total number of moles of components present in the liquid phase.

Symbol: x_Liquid

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Mole Fraction of Component in Liquid Phase

Activity Coefficient

Activity coefficient is a factor used in thermodynamics to account for deviations from ideal behaviour in a mixture of chemical substances.

Symbol: γ

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Activity Coefficient

Saturated pressure

Saturated pressure is the pressure at which a given liquid and its vapour or a given solid and its vapour can co-exist in equilibrium, at a given temperature.

Symbol: P^sat

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Saturated pressure

Mole Fraction of Component in Vapor Phase

The Mole Fraction of Component in Vapor Phase can be defined as the ratio of the number of moles a component to the total number of moles of components present in the vapor phase.

Symbol: y_Gas

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Mole Fraction of Component in Vapor Phase

Total Pressure of Gas

Total pressure of Gas is the sum of all the forces that the gas molecules exert on the walls of their container.

Symbol: P_T

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Total Pressure of Gas

Other formulas in K values for Gamma Phi formulation, Raoult’s Law, Modified Raoult’s Law, and Henry’s Law category

Go K-Value or Vapour-Liquid Distribution Ratio of Component

K = \frac{y Gas}{x Liquid}

Go K-Value of Component using Gamma-Phi Formulation

K = \frac{γ Raoults \cdot P sat}{ϕ Raoults \cdot P T}

Go Fugacity Coefficient of Component using K-Value Expression for Gamma-Phi Formulation

ϕ Raoults = \frac{γ Raoults \cdot P sat}{K \cdot P T}

Go Activity Coefficient of Component using K-Value Expression for Gamma-Phi Formulation

γ Raoults = \frac{K \cdot ϕ Raoults \cdot P T}{P sat}

How to Evaluate Fugacity Coefficient using Gamma-Phi Formulation of VLE?

Fugacity Coefficient using Gamma-Phi Formulation of VLE evaluator uses Fugacity Coefficient = (Mole Fraction of Component in Liquid Phase*Activity Coefficient*Saturated pressure)/(Mole Fraction of Component in Vapor Phase*Total Pressure of Gas) to evaluate the Fugacity Coefficient, The Fugacity Coefficient using Gamma-Phi Formulation of VLE formula is defined as the ratio of the product of the liquid phase mole fraction, activity coefficient and the saturated pressure to the product of the vapour phase mole fraction and the total pressure of mixture or solution. Fugacity Coefficient is denoted by ϕ symbol.

How to evaluate Fugacity Coefficient using Gamma-Phi Formulation of VLE using this online evaluator? To use this online evaluator for Fugacity Coefficient using Gamma-Phi Formulation of VLE, enter Mole Fraction of Component in Liquid Phase (x_Liquid), Activity Coefficient (γ), Saturated pressure (P^sat), Mole Fraction of Component in Vapor Phase (y_Gas) & Total Pressure of Gas (P_T) and hit the calculate button.

FAQs on Fugacity Coefficient using Gamma-Phi Formulation of VLE

What is the formula to find Fugacity Coefficient using Gamma-Phi Formulation of VLE?

The formula of Fugacity Coefficient using Gamma-Phi Formulation of VLE is expressed as Fugacity Coefficient = (Mole Fraction of Component in Liquid Phase*Activity Coefficient*Saturated pressure)/(Mole Fraction of Component in Vapor Phase*Total Pressure of Gas). Here is an example- 0.423131 = (0.51*1.5*50000)/(0.3*102100).

How to calculate Fugacity Coefficient using Gamma-Phi Formulation of VLE?

With Mole Fraction of Component in Liquid Phase (x_Liquid), Activity Coefficient (γ), Saturated pressure (P^sat), Mole Fraction of Component in Vapor Phase (y_Gas) & Total Pressure of Gas (P_T) we can find Fugacity Coefficient using Gamma-Phi Formulation of VLE using the formula - Fugacity Coefficient = (Mole Fraction of Component in Liquid Phase*Activity Coefficient*Saturated pressure)/(Mole Fraction of Component in Vapor Phase*Total Pressure of Gas).

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Fugacity Coefficient using Gamma-Phi Formulation of VLE Formula

Fugacity Coefficient using Gamma-Phi Formulation of VLE Example

Fugacity Coefficient using Gamma-Phi Formulation of VLE Solution

Fugacity Coefficient using Gamma-Phi Formulation of VLE Formula Elements

Other formulas in K values for Gamma Phi formulation, Raoult’s Law, Modified Raoult’s Law, and Henry’s Law category

How to Evaluate Fugacity Coefficient using Gamma-Phi Formulation of VLE?

FAQs on Fugacity Coefficient using Gamma-Phi Formulation of VLE

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