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Liquid phase mole fraction using Gamma - phi formulation of VLE Formula

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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. Check FAQs

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

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

Liquid phase mole fraction using Gamma - phi formulation of VLE Example

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Here is how the Liquid phase mole fraction using Gamma - phi formulation of VLE equation looks like with Values.

Here is how the Liquid phase mole fraction using Gamma - phi formulation of VLE equation looks like with Units.

Here is how the Liquid phase mole fraction using Gamma - phi formulation of VLE equation looks like.

0.114 = \frac{0.3 \cdot 0.95 \cdot 12}{1.5 \cdot 20}

0.114 = \frac{0.3 \cdot 0.95 \cdot 12Pa}{1.5 \cdot 20Pa}

0.114 = \frac{0.3 \cdot 0.95 \cdot 12}{1.5 \cdot 20}

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Liquid phase mole fraction using Gamma - phi formulation of VLE Solution

Follow our step by step solution on how to calculate Liquid phase mole fraction using Gamma - phi formulation of VLE?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

x Liquid = \frac{0.3 \cdot 0.95 \cdot 12Pa}{1.5 \cdot 20Pa}

Next Step Prepare to Evaluate

∴

x Liquid = \frac{0.3 \cdot 0.95 \cdot 12}{1.5 \cdot 20}

LAST Step Evaluate

∴

x Liquid = 0.114

Liquid phase mole fraction using Gamma - phi formulation of VLE Formula Elements

Variables

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

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

Total pressure 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

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

Other formulas in Basic Formulas of Thermodynamics category

Go Degree of Freedom

F = C - p + 2

Go Number of Components

C = F + p - 2

Go Number of Phases

p = C - F + 2

Go Total Number of Variables in System

T v = p \cdot (C - 1) + 2

How to Evaluate Liquid phase mole fraction using Gamma - phi formulation of VLE?

Liquid phase mole fraction using Gamma - phi formulation of VLE evaluator uses Mole Fraction of Component in Liquid Phase = (Mole Fraction of Component in Vapor Phase*Fugacity Coefficient*Total Pressure)/(Activity Coefficient*Saturated Pressure) to evaluate the Mole Fraction of Component in Liquid Phase, The Liquid phase mole fraction 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 activity coefficient and the saturated pressure of mixture or solution. Mole Fraction of Component in Liquid Phase is denoted by x_Liquid symbol.

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

FAQs on Liquid phase mole fraction using Gamma - phi formulation of VLE

What is the formula to find Liquid phase mole fraction using Gamma - phi formulation of VLE?

The formula of Liquid phase mole fraction using Gamma - phi formulation of VLE is expressed as Mole Fraction of Component in Liquid Phase = (Mole Fraction of Component in Vapor Phase*Fugacity Coefficient*Total Pressure)/(Activity Coefficient*Saturated Pressure). Here is an example- 1140 = (0.3*0.95*12)/(1.5*20).

How to calculate Liquid phase mole fraction using Gamma - phi formulation of VLE?

With Mole Fraction of Component in Vapor Phase (y_Gas), Fugacity Coefficient (ϕ), Total Pressure (P_T), Activity Coefficient (γ) & Saturated Pressure (P^sat) we can find Liquid phase mole fraction using Gamma - phi formulation of VLE using the formula - Mole Fraction of Component in Liquid Phase = (Mole Fraction of Component in Vapor Phase*Fugacity Coefficient*Total Pressure)/(Activity Coefficient*Saturated Pressure).

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Liquid phase mole fraction using Gamma - phi formulation of VLE Formula

Liquid phase mole fraction using Gamma - phi formulation of VLE Example

Liquid phase mole fraction using Gamma - phi formulation of VLE Solution

Liquid phase mole fraction using Gamma - phi formulation of VLE Formula Elements

Other formulas in Basic Formulas of Thermodynamics category

How to Evaluate Liquid phase mole fraction using Gamma - phi formulation of VLE?

FAQs on Liquid phase mole fraction using Gamma - phi formulation of VLE

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