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

✖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.ⓘ Mole Fraction of Component in Vapor Phase [y_Gas]			+10% -10%
✖Fugacity coefficient is the ratio of fugacity to the pressure of that component.ⓘ Fugacity Coefficient [ϕ]			+10% -10%
✖Total pressure is the sum of all the forces that the gas molecules exert on the walls of their container.ⓘ Total Pressure [P_T]			+10% -10%
✖Activity coefficient is a factor used in thermodynamics to account for deviations from ideal behaviour in a mixture of chemical substances.ⓘ Activity Coefficient [γ]			+10% -10%
✖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.ⓘ Saturated Pressure [P^sat]			+10% -10%

✖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.ⓘ Liquid phase mole fraction using Gamma - phi formulation of VLE [x_Liquid]

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Formula

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Liquid phase mole fraction using Gamma - phi formulation of VLE

Formula

`"x"_{"Liquid"} = ("y"_{"Gas"}*"ϕ"*"P"_{"T"})/("γ"*"P"^{"sat"})`

Example

`"0.114"=("0.3"*"0.95"*"12Pa")/("1.5"*"20Pa")`

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

STEP 0: Pre-Calculation Summary

Formula Used

Mole Fraction of Component in Liquid Phase = (Mole Fraction of Component in Vapor Phase*Fugacity Coefficient*Total Pressure)/(Activity Coefficient*Saturated Pressure)
x_Liquid = (y_Gas*ϕ*P_T)/(γ*P^sat)
This formula uses 6 Variables

Variables Used

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.
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.
Fugacity Coefficient - Fugacity coefficient is the ratio of fugacity to the pressure of that component.
Total Pressure - (Measured in Pascal) - Total pressure is the sum of all the forces that the gas molecules exert on the walls of their container.
Activity Coefficient - Activity coefficient is a factor used in thermodynamics to account for deviations from ideal behaviour in a mixture of chemical substances.
Saturated Pressure - (Measured in Pascal) - 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.

STEP 1: Convert Input(s) to Base Unit

Mole Fraction of Component in Vapor Phase: 0.3 --> No Conversion Required
Fugacity Coefficient: 0.95 --> No Conversion Required
Total Pressure: 12 Pascal --> 12 Pascal No Conversion Required
Activity Coefficient: 1.5 --> No Conversion Required
Saturated Pressure: 20 Pascal --> 20 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

x_Liquid = (y_Gas*ϕ*P_T)/(γ*P^sat) --> (0.3*0.95*12)/(1.5*20)

Evaluating ... ...

x_Liquid = 0.114

STEP 3: Convert Result to Output's Unit

0.114 --> No Conversion Required

FINAL ANSWER

0.114 <-- Mole Fraction of Component in Liquid Phase

(Calculation completed in 00.004 seconds)

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< 16 Basic Formulas of Thermodynamics Calculators

Work Done in Adiabatic Process using Specific Heat Capacity at Constant Pressure and Volume

Go Work done in Thermodynamic Process = (Initial Pressure of System*Initial Volume of System-Final Pressure of System*Final Volume of System)/((Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume)-1)

Liquid phase mole fraction using Gamma - phi formulation of VLE

Go Mole Fraction of Component in Liquid Phase = (Mole Fraction of Component in Vapor Phase*Fugacity Coefficient*Total Pressure)/(Activity Coefficient*Saturated Pressure)

Isothermal Compression of Ideal Gas

Go Isothermal Work = Number of Moles*[R]*Temperature of Gas*2.303*log10(Final Volume of System/Initial Volume of System)

Isothermal Work using Pressure Ratio

Go Isothermal Work given Pressure Ratio = Initial Pressure of System*Initial Volume of Gas*ln(Initial Pressure of System/Final Pressure of System)

Isothermal Work Done by Gas

Go Isothermal Work = Number of Moles*[R]*Temperature*2.303*log10(Final Volume of Gas/Initial Volume of Gas)

Polytropic Work

Go Polytropic Work = (Final Pressure of System*Final Volume of Gas-Initial Pressure of System*Initial Volume of Gas)/(1-Polytropic Index)

Isothermal Work using Volume Ratio

Go Isothermal Work given Volume Ratio = Initial Pressure of System*Initial Volume of Gas*ln(Final Volume of Gas/Initial Volume of Gas)

Isothermal Work using Temperature

Go Isothermal work given temperature = [R]*Temperature*ln(Initial Pressure of System/Final Pressure of System)

Compressibility Factor

Go Compressibility Factor = (Pressure Object*Specific Volume)/(Specific Gas Constant*Temperature)

Degree of Freedom given Molar Internal Energy of Ideal Gas

Go Degree of Freedom = 2*Internal Energy/(Number of Moles*[R]*Temperature of Gas)

Degree of Freedom given Equipartition Energy

Go Degree of Freedom = 2*Equipartition Energy/([BoltZ]*Temperature of Gas B)

Work Done in Isobaric Process

Go Isobaric Work = Pressure Object*(Final Volume of Gas-Initial Volume of Gas)

Total Number of Variables in System

Go Total Number of Variables in System = Number of Phases*(Number of Components in System-1)+2

Number of Components

Go Number of Components in System = Degree of Freedom+Number of Phases-2

Degree of Freedom

Go Degree of Freedom = Number of Components in System-Number of Phases+2

Number of Phases

Go Number of Phases = Number of Components in System-Degree of Freedom+2

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

Explain vapour liquid equilibrium (VLE).

An activity coefficient is a factor used in thermodynamics to account for deviations from ideal behaviour in a mixture of chemical substances. In an ideal mixture, the microscopic interactions between each pair of chemical species are the same (or macroscopically equivalent, the enthalpy change of solution and volume variation in mixing is zero) and, as a result, properties of the mixtures can be expressed directly in terms of simple concentrations or partial pressures of the substances present e.g. Raoult's law. Deviations from ideality are accommodated by modifying the concentration by an activity coefficient. Analogously, expressions involving gases can be adjusted for non-ideality by scaling partial pressures by a fugacity coefficient.

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

Liquid phase mole fraction using Gamma - phi formulation of VLE calculator uses Mole Fraction of Component in Liquid Phase = (Mole Fraction of Component in Vapor Phase*Fugacity Coefficient*Total Pressure)/(Activity Coefficient*Saturated Pressure) to calculate 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 calculate Liquid phase mole fraction using Gamma - phi formulation of VLE using this online calculator? To use this online calculator 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. Here is how the Liquid phase mole fraction using Gamma - phi formulation of VLE calculation can be explained with given input values -> 1140 = (0.3*0.95*12)/(1.5*20).

FAQ

What is Liquid phase mole fraction using Gamma - phi formulation of VLE?

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 and is represented as x_Liquid = (y_Gas*ϕ*P_T)/(γ*P^sat) or Mole Fraction of Component in Liquid Phase = (Mole Fraction of Component in Vapor Phase*Fugacity Coefficient*Total Pressure)/(Activity Coefficient*Saturated Pressure). 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, Fugacity coefficient is the ratio of fugacity to the pressure of that component, Total pressure is the sum of all the forces that the gas molecules exert on the walls of their container, Activity coefficient is a factor used in thermodynamics to account for deviations from ideal behaviour in a mixture of chemical substances & 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.

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

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 is calculated using Mole Fraction of Component in Liquid Phase = (Mole Fraction of Component in Vapor Phase*Fugacity Coefficient*Total Pressure)/(Activity Coefficient*Saturated Pressure). To calculate Liquid phase mole fraction using Gamma - phi formulation of VLE, you need Mole Fraction of Component in Vapor Phase (y_Gas), Fugacity Coefficient (ϕ), Total Pressure (P_T), Activity Coefficient (γ) & Saturated Pressure (P^sat). With our tool, you need to enter the respective value for Mole Fraction of Component in Vapor Phase, Fugacity Coefficient, Total Pressure, Activity Coefficient & Saturated Pressure and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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