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Activity Coefficient using Gamma-Phi Formulation of VLE Calculator

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K values for Gamma Phi formulation, Raoult’s Law, Modified Raoult’s Law, and Henry’s Law

✖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 of Gas is the sum of all the forces that the gas molecules exert on the walls of their container.ⓘ Total Pressure of Gas [P_T]			+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.ⓘ Mole Fraction of Component in Liquid Phase [x_Liquid]			+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%

✖Activity coefficient is a factor used in thermodynamics to account for deviations from ideal behaviour in a mixture of chemical substances.ⓘ Activity Coefficient using Gamma-Phi Formulation of VLE [γ]

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Activity Coefficient using Gamma-Phi Formulation of VLE Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Activity Coefficient - Activity coefficient is a factor used in thermodynamics to account for deviations from ideal behaviour in a mixture of chemical substances.
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 of Gas - (Measured in Pascal) - Total pressure of Gas is the sum of all the forces that the gas molecules exert on the walls of their container.
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.
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 of Gas: 102100 Pascal --> 102100 Pascal No Conversion Required
Mole Fraction of Component in Liquid Phase: 0.51 --> No Conversion Required
Saturated pressure: 50000 Pascal --> 50000 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

γ = (y_Gas*ϕ*P_T)/(x_Liquid*P^sat) --> (0.3*0.95*102100)/(0.51*50000)

Evaluating ... ...

γ = 1.14111764705882

STEP 3: Convert Result to Output's Unit

1.14111764705882 --> No Conversion Required

FINAL ANSWER

1.14111764705882 ≈ 1.141118 <-- Activity Coefficient

(Calculation completed in 00.014 seconds)

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Created by Shivam Sinha

National Institute Of Technology (NIT), Surathkal

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< K values for Gamma Phi formulation, Raoult’s Law, Modified Raoult’s Law, and Henry’s Law Calculators

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

LaTeX Go Fugacity Coefficient in Raoults Law = (Activity Coefficient in Raoults Law*Saturated Pressure in Gamma-Phi Formulation)/(K value*Total Pressure of Gas)

K-Value of Component using Gamma-Phi Formulation

LaTeX Go K value = (Activity Coefficient in Raoults Law*Saturated Pressure in Gamma-Phi Formulation)/(Fugacity Coefficient in Raoults Law*Total Pressure of Gas)

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

LaTeX Go Activity Coefficient in Raoults Law = (K value*Fugacity Coefficient in Raoults Law*Total Pressure of Gas)/Saturated Pressure in Gamma-Phi Formulation

K-Value or Vapour-Liquid Distribution Ratio of Component

LaTeX Go K value = Mole Fraction of Component in Vapor Phase/Mole Fraction of Component in Liquid Phase

Activity Coefficient using Gamma-Phi Formulation of VLE Formula

LaTeX Go

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.

What is Duhem’s theorem?

For any closed system formed from known amounts of prescribed chemical species, the equilibrium state is completely determined when any
two independent variables are fixed. The two independent variables subject to specification may in general be either intensive or
extensive. However, the number of independent intensive variables is given by the phase rule. Thus when F = 1, at least one of the two variables must be extensive, and when F = 0, both must be extensive.

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

Activity Coefficient using Gamma-Phi Formulation of VLE calculator 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 calculate 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 calculate Activity Coefficient using Gamma-Phi Formulation of VLE using this online calculator? To use this online calculator 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. Here is how the Activity Coefficient using Gamma-Phi Formulation of VLE calculation can be explained with given input values -> 3.36775 = (0.3*0.95*102100)/(0.51*50000).

FAQ

What is Activity Coefficient using Gamma-Phi Formulation of VLE?

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 and is represented as γ = (y_Gas*ϕ*P_T)/(x_Liquid*P^sat) or Activity Coefficient = (Mole Fraction of Component in Vapor Phase*Fugacity Coefficient*Total Pressure of Gas)/(Mole Fraction of Component in Liquid Phase*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 of Gas is the sum of all the forces that the gas molecules exert on the walls of their container, 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 & 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 Activity Coefficient using Gamma-Phi Formulation of VLE?

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 is calculated using 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 calculate Activity Coefficient using Gamma-Phi Formulation of VLE, you need 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). With our tool, you need to enter the respective value for Mole Fraction of Component in Vapor Phase, Fugacity Coefficient, Total Pressure of Gas, Mole Fraction of Component in Liquid Phase & 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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