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Vapour Phase Mole Fraction using Gamma-Phi Formulation of VLE Formula

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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. Check FAQs

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

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

Vapour Phase Mole Fraction using Gamma-Phi Formulation of VLE Example

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Here is how the Vapour Phase Mole Fraction using Gamma-Phi Formulation of VLE equation looks like with Values.

Here is how the Vapour Phase Mole Fraction using Gamma-Phi Formulation of VLE equation looks like with Units.

Here is how the Vapour Phase Mole Fraction using Gamma-Phi Formulation of VLE equation looks like.

0.3944 = \frac{0.51 \cdot 1.5 \cdot 50000}{0.95 \cdot 102100}

0.3944 = \frac{0.51 \cdot 1.5 \cdot 50000Pa}{0.95 \cdot 102100Pa}

0.3944 = \frac{0.51 \cdot 1.5 \cdot 50000}{0.95 \cdot 102100}

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Vapour Phase Mole Fraction using Gamma-Phi Formulation of VLE Solution

Follow our step by step solution on how to calculate Vapour Phase Mole Fraction using Gamma-Phi Formulation of VLE?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

y Gas = \frac{0.51 \cdot 1.5 \cdot 50000Pa}{0.95 \cdot 102100Pa}

Next Step Prepare to Evaluate

∴

y Gas = \frac{0.51 \cdot 1.5 \cdot 50000}{0.95 \cdot 102100}

Next Step Evaluate

∴

y Gas = 0.394350224238363

LAST Step Rounding Answer

∴

y Gas = 0.3944

Vapour Phase Mole Fraction using Gamma-Phi Formulation of VLE Formula Elements

Variables

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

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

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

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 Vapour Phase Mole Fraction using Gamma-Phi Formulation of VLE?

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

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

FAQs on Vapour Phase Mole Fraction using Gamma-Phi Formulation of VLE

What is the formula to find Vapour Phase Mole Fraction using Gamma-Phi Formulation of VLE?

The formula of Vapour Phase Mole Fraction using Gamma-Phi Formulation of VLE is expressed as Mole Fraction of Component in Vapor Phase = (Mole Fraction of Component in Liquid Phase*Activity Coefficient*Saturated pressure)/(Fugacity Coefficient*Total Pressure of Gas). Here is an example- 0.13362 = (0.51*1.5*50000)/(0.95*102100).

How to calculate Vapour Phase Mole Fraction using Gamma-Phi Formulation of VLE?

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

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Vapour Phase Mole Fraction using Gamma-Phi Formulation of VLE Formula

Vapour Phase Mole Fraction using Gamma-Phi Formulation of VLE Example

Vapour Phase Mole Fraction using Gamma-Phi Formulation of VLE Solution

Vapour Phase Mole Fraction 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 Vapour Phase Mole Fraction using Gamma-Phi Formulation of VLE?

FAQs on Vapour Phase Mole Fraction using Gamma-Phi Formulation of VLE

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