Vapour Phase Mole Fraction using Modified Raoult's Law in VLE Formula

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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. Check FAQs
yGas=xLiquidγRaoultsPsat PT
yGas - Mole Fraction of Component in Vapor Phase?xLiquid - Mole Fraction of Component in Liquid Phase?γRaoults - Activity Coefficient in Raoults Law?Psat - Saturated pressure?PT - Total Pressure of Gas?

Vapour Phase Mole Fraction using Modified Raoult's Law in VLE Example

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Here is how the Vapour Phase Mole Fraction using Modified Raoult's Law in VLE equation looks like with Values.

Here is how the Vapour Phase Mole Fraction using Modified Raoult's Law in VLE equation looks like with Units.

Here is how the Vapour Phase Mole Fraction using Modified Raoult's Law in VLE equation looks like.

0.2248Edit=0.51Edit0.9Edit50000Edit102100Edit
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Vapour Phase Mole Fraction using Modified Raoult's Law in VLE Solution

Follow our step by step solution on how to calculate Vapour Phase Mole Fraction using Modified Raoult's Law in VLE?

FIRST Step Consider the formula
yGas=xLiquidγRaoultsPsat PT
Next Step Substitute values of Variables
yGas=0.510.950000Pa102100Pa
Next Step Prepare to Evaluate
yGas=0.510.950000102100
Next Step Evaluate
yGas=0.224779627815867
LAST Step Rounding Answer
yGas=0.2248

Vapour Phase Mole Fraction using Modified Raoult's Law in VLE Formula Elements

Variables
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: yGas
Measurement: NAUnit: Unitless
Note: Value should be between 0 to 1.
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: xLiquid
Measurement: NAUnit: Unitless
Note: Value should be between 0 to 1.
Activity Coefficient in Raoults Law
Activity Coefficient in Raoults Law is a factor used in thermodynamics to account for deviations from ideal behaviour in a mixture of chemical substances.
Symbol: γRaoults
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
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: Psat
Measurement: PressureUnit: Pa
Note: Value can be positive or negative.
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: PT
Measurement: PressureUnit: Pa
Note: Value can be positive or negative.

Other formulas in Raoult’s Law, Modified Raoult’s Law, and Henry’s Law in VLE category

​Go Activity Coefficient using Modified Raoult's Law in VLE
γRaoults=yGasPTxLiquidPsat
​Go Liquid Phase Mole Fraction using Modified Raoult's Law in VLE
xLiquid=yGasPTγRaoultsPsat
​Go Saturated Pressure using Modified Raoult's Law in VLE
Psat =yGasPTxLiquidγRaoults
​Go Total Pressure using Modified Raoult's Law in VLE
PT=xLiquidγRaoultsPsat yGas

How to Evaluate Vapour Phase Mole Fraction using Modified Raoult's Law in VLE?

Vapour Phase Mole Fraction using Modified Raoult's Law in VLE evaluator uses Mole Fraction of Component in Vapor Phase = (Mole Fraction of Component in Liquid Phase*Activity Coefficient in Raoults Law*Saturated pressure)/Total Pressure of Gas to evaluate the Mole Fraction of Component in Vapor Phase, The Vapour Phase Mole Fraction using Modified Raoult's Law in VLE formula is defined as the ratio of the product of the liquid phase mole fraction, activity coefficient and the saturated pressure to the total pressure of mixture or solution. Mole Fraction of Component in Vapor Phase is denoted by yGas symbol.

How to evaluate Vapour Phase Mole Fraction using Modified Raoult's Law in VLE using this online evaluator? To use this online evaluator for Vapour Phase Mole Fraction using Modified Raoult's Law in VLE, enter Mole Fraction of Component in Liquid Phase (xLiquid), Activity Coefficient in Raoults Law Raoults), Saturated pressure (Psat ) & Total Pressure of Gas (PT) and hit the calculate button.

FAQs on Vapour Phase Mole Fraction using Modified Raoult's Law in VLE

What is the formula to find Vapour Phase Mole Fraction using Modified Raoult's Law in VLE?
The formula of Vapour Phase Mole Fraction using Modified Raoult's Law in VLE is expressed as Mole Fraction of Component in Vapor Phase = (Mole Fraction of Component in Liquid Phase*Activity Coefficient in Raoults Law*Saturated pressure)/Total Pressure of Gas. Here is an example- 0.076164 = (0.51*0.9*50000)/102100.
How to calculate Vapour Phase Mole Fraction using Modified Raoult's Law in VLE?
With Mole Fraction of Component in Liquid Phase (xLiquid), Activity Coefficient in Raoults Law Raoults), Saturated pressure (Psat ) & Total Pressure of Gas (PT) we can find Vapour Phase Mole Fraction using Modified Raoult's Law in VLE using the formula - Mole Fraction of Component in Vapor Phase = (Mole Fraction of Component in Liquid Phase*Activity Coefficient in Raoults Law*Saturated pressure)/Total Pressure of Gas.
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