Saturated Pressure using Gamma-Phi Formulation of VLE Solution

STEP 0: Pre-Calculation Summary
Formula Used
Saturated pressure = (Mole Fraction of Component in Vapor Phase*Fugacity Coefficient*Total Pressure of Gas)/(Mole Fraction of Component in Liquid Phase*Activity Coefficient)
Psat = (yGas*ϕ*PT)/(xLiquid*γ)
This formula uses 6 Variables
Variables Used
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.
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.
Activity Coefficient - Activity coefficient is a factor used in thermodynamics to account for deviations from ideal behaviour in a mixture of chemical substances.
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
Activity Coefficient: 1.5 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Psat = (yGas*ϕ*PT)/(xLiquid*γ) --> (0.3*0.95*102100)/(0.51*1.5)
Evaluating ... ...
Psat = 38037.2549019608
STEP 3: Convert Result to Output's Unit
38037.2549019608 Pascal --> No Conversion Required
FINAL ANSWER
38037.2549019608 38037.25 Pascal <-- Saturated pressure
(Calculation completed in 00.004 seconds)

Credits

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Created by Shivam Sinha
National Institute Of Technology (NIT), Surathkal
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Verified by Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
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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

Saturated Pressure using Gamma-Phi Formulation of VLE Formula

​LaTeX ​Go
Saturated pressure = (Mole Fraction of Component in Vapor Phase*Fugacity Coefficient*Total Pressure of Gas)/(Mole Fraction of Component in Liquid Phase*Activity Coefficient)
Psat = (yGas*ϕ*PT)/(xLiquid*γ)

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 Saturated Pressure using Gamma-Phi Formulation of VLE?

Saturated Pressure using Gamma-Phi Formulation of VLE calculator uses Saturated pressure = (Mole Fraction of Component in Vapor Phase*Fugacity Coefficient*Total Pressure of Gas)/(Mole Fraction of Component in Liquid Phase*Activity Coefficient) to calculate the Saturated pressure, The Saturated Pressure 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 activity coefficient of mixture or solution. Saturated pressure is denoted by Psat symbol.

How to calculate Saturated Pressure using Gamma-Phi Formulation of VLE using this online calculator? To use this online calculator for Saturated Pressure using Gamma-Phi Formulation of VLE, enter Mole Fraction of Component in Vapor Phase (yGas), Fugacity Coefficient (ϕ), Total Pressure of Gas (PT), Mole Fraction of Component in Liquid Phase (xLiquid) & Activity Coefficient (γ) and hit the calculate button. Here is how the Saturated Pressure using Gamma-Phi Formulation of VLE calculation can be explained with given input values -> 112258.3 = (0.3*0.95*102100)/(0.51*1.5).

FAQ

What is Saturated Pressure using Gamma-Phi Formulation of VLE?
The Saturated Pressure 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 activity coefficient of mixture or solution and is represented as Psat = (yGas*ϕ*PT)/(xLiquid*γ) or Saturated pressure = (Mole Fraction of Component in Vapor Phase*Fugacity Coefficient*Total Pressure of Gas)/(Mole Fraction of Component in Liquid Phase*Activity Coefficient). 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 & Activity coefficient is a factor used in thermodynamics to account for deviations from ideal behaviour in a mixture of chemical substances.
How to calculate Saturated Pressure using Gamma-Phi Formulation of VLE?
The Saturated Pressure 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 activity coefficient of mixture or solution is calculated using Saturated pressure = (Mole Fraction of Component in Vapor Phase*Fugacity Coefficient*Total Pressure of Gas)/(Mole Fraction of Component in Liquid Phase*Activity Coefficient). To calculate Saturated Pressure using Gamma-Phi Formulation of VLE, you need Mole Fraction of Component in Vapor Phase (yGas), Fugacity Coefficient (ϕ), Total Pressure of Gas (PT), Mole Fraction of Component in Liquid Phase (xLiquid) & Activity Coefficient (γ). 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 & Activity Coefficient 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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