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Activity Coefficient using Gamma-Phi Formulation of VLE Formula

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

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

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

Activity Coefficient using Gamma-Phi Formulation of VLE Example

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

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

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

1.1411 = \frac{0.3 \cdot 0.95 \cdot 102100}{0.51 \cdot 50000}

1.1411 = \frac{0.3 \cdot 0.95 \cdot 102100Pa}{0.51 \cdot 50000Pa}

1.1411 = \frac{0.3 \cdot 0.95 \cdot 102100}{0.51 \cdot 50000}

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Activity Coefficient using Gamma-Phi Formulation of VLE Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

γ = \frac{0.3 \cdot 0.95 \cdot 102100Pa}{0.51 \cdot 50000Pa}

Next Step Prepare to Evaluate

∴

γ = \frac{0.3 \cdot 0.95 \cdot 102100}{0.51 \cdot 50000}

Next Step Evaluate

∴

γ = 1.14111764705882

LAST Step Rounding Answer

∴

γ = 1.1411

Activity Coefficient using Gamma-Phi Formulation of VLE Formula Elements

Variables

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

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

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

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

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

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

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 Activity Coefficient using Gamma-Phi Formulation of VLE?

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

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

FAQs on Activity Coefficient using Gamma-Phi Formulation of VLE

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

The formula of Activity Coefficient using Gamma-Phi Formulation of VLE is expressed as Activity Coefficient = (Mole Fraction of Component in Vapor Phase*Fugacity Coefficient*Total Pressure of Gas)/(Mole Fraction of Component in Liquid Phase*Saturated pressure). Here is an example- 3.36775 = (0.3*0.95*102100)/(0.51*50000).

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

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

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Activity Coefficient using Gamma-Phi Formulation of VLE Formula

Activity Coefficient using Gamma-Phi Formulation of VLE Example

Activity Coefficient using Gamma-Phi Formulation of VLE Solution

Activity 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 Activity Coefficient using Gamma-Phi Formulation of VLE?

FAQs on Activity Coefficient using Gamma-Phi Formulation of VLE

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