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Total Pressure using Gamma-Phi Formulation of VLE Formula

GoPressure using K-Value Expression for Gamma-Phi Formulation Formula

GoPressure using K-value Expression for Raoult's Law Formula

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Total pressure of Gas is the sum of all the forces that the gas molecules exert on the walls of their container. Check FAQs

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

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

Total Pressure using Gamma-Phi Formulation of VLE Example

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Here is how the Total Pressure using Gamma-Phi Formulation of VLE equation looks like with Values.

Here is how the Total Pressure using Gamma-Phi Formulation of VLE equation looks like with Units.

Here is how the Total Pressure using Gamma-Phi Formulation of VLE equation looks like.

134210.5263 = \frac{0.51 \cdot 1.5 \cdot 50000}{0.3 \cdot 0.95}

134210.5263Pa = \frac{0.51 \cdot 1.5 \cdot 50000Pa}{0.3 \cdot 0.95}

134210.5263 = \frac{0.51 \cdot 1.5 \cdot 50000}{0.3 \cdot 0.95}

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Total Pressure using Gamma-Phi Formulation of VLE Solution

Follow our step by step solution on how to calculate Total Pressure using Gamma-Phi Formulation of VLE?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P T = \frac{0.51 \cdot 1.5 \cdot 50000Pa}{0.3 \cdot 0.95}

Next Step Prepare to Evaluate

∴

P T = \frac{0.51 \cdot 1.5 \cdot 50000}{0.3 \cdot 0.95}

Next Step Evaluate

∴

P T = 134210.526315789Pa

LAST Step Rounding Answer

∴

P T = 134210.5263Pa

Total Pressure using Gamma-Phi Formulation of VLE Formula Elements

Variables

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

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

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

Other Formulas to find Total Pressure of Gas

Go Pressure using K-Value Expression for Gamma-Phi Formulation

P T = \frac{γ Raoults \cdot P sat}{K \cdot ϕ Raoults}

Go Pressure using K-value Expression for Raoult's Law

P T = \frac{P Saturated}{K}

Go Pressure of Component using K-Value Expression for Modified Raoult's Law

P T = \frac{γ Raoults \cdot P Saturated}{K}

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 Total Pressure using Gamma-Phi Formulation of VLE?

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

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

FAQs on Total Pressure using Gamma-Phi Formulation of VLE

What is the formula to find Total Pressure using Gamma-Phi Formulation of VLE?

The formula of Total Pressure using Gamma-Phi Formulation of VLE is expressed as Total Pressure of Gas = (Mole Fraction of Component in Liquid Phase*Activity Coefficient*Saturated pressure)/(Mole Fraction of Component in Vapor Phase*Fugacity Coefficient). Here is an example- 134210.5 = (0.51*1.5*50000)/(0.3*0.95).

How to calculate Total Pressure using Gamma-Phi Formulation of VLE?

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

What are the other ways to Calculate Total Pressure of Gas?

Here are the different ways to Calculate Total Pressure of Gas-

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

Can the Total Pressure using Gamma-Phi Formulation of VLE be negative?

Yes, the Total Pressure using Gamma-Phi Formulation of VLE, measured in Pressure can be negative.

Which unit is used to measure Total Pressure using Gamma-Phi Formulation of VLE?

Total Pressure using Gamma-Phi Formulation of VLE is usually measured using the Pascal[Pa] for Pressure. Kilopascal[Pa], Bar[Pa], Pound Per Square Inch[Pa] are the few other units in which Total Pressure using Gamma-Phi Formulation of VLE can be measured.

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Total Pressure using Gamma-Phi Formulation of VLE Formula

​GoPressure using K-Value Expression for Gamma-Phi Formulation Formula

​GoPressure using K-value Expression for Raoult's Law Formula

Total Pressure using Gamma-Phi Formulation of VLE Example

Total Pressure using Gamma-Phi Formulation of VLE Solution

Total Pressure using Gamma-Phi Formulation of VLE Formula Elements

Other 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

How to Evaluate Total Pressure using Gamma-Phi Formulation of VLE?

FAQs on Total Pressure using Gamma-Phi Formulation of VLE

Variable Name

GoPressure using K-Value Expression for Gamma-Phi Formulation Formula

GoPressure using K-value Expression for Raoult's Law Formula