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

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✖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%
✖Activity Coefficient in Raoults Law is a factor used in thermodynamics to account for deviations from ideal behaviour in a mixture of chemical substances.ⓘ Activity Coefficient in Raoults Law [γ_Raoults]			+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%
✖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 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.ⓘ Vapour Phase Mole Fraction using Modified Raoult's Law in VLE [y_Gas]

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

STEP 0: Pre-Calculation Summary

Formula Used

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
y_Gas = (x_Liquid*γ_Raoults*P^sat)/P_T
This formula uses 5 Variables

Variables Used

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.
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 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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Mole Fraction of Component in Liquid Phase: 0.51 --> No Conversion Required
Activity Coefficient in Raoults Law: 0.9 --> No Conversion Required
Saturated pressure: 50000 Pascal --> 50000 Pascal No Conversion Required
Total Pressure of Gas: 102100 Pascal --> 102100 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

y_Gas = (x_Liquid*γ_Raoults*P^sat)/P_T --> (0.51*0.9*50000)/102100

Evaluating ... ...

y_Gas = 0.224779627815867

STEP 3: Convert Result to Output's Unit

0.224779627815867 --> No Conversion Required

FINAL ANSWER

0.224779627815867 ≈ 0.22478 <-- Mole Fraction of Component in Vapor Phase

(Calculation completed in 00.004 seconds)

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< Raoult’s Law, Modified Raoult’s Law, and Henry’s Law in VLE Calculators

Liquid Phase Mole Fraction using Modified Raoult's Law in VLE

LaTeX Go Mole Fraction of Component in Liquid Phase = (Mole Fraction of Component in Vapor Phase*Total Pressure of Gas)/(Activity Coefficient in Raoults Law*Saturated pressure)

Activity Coefficient using Modified Raoult's Law in VLE

LaTeX Go Activity Coefficient in Raoults Law = (Mole Fraction of Component in Vapor Phase*Total Pressure of Gas)/(Mole Fraction of Component in Liquid Phase*Saturated pressure)

Saturated Pressure using Modified Raoult's Law in VLE

LaTeX Go Saturated pressure = (Mole Fraction of Component in Vapor Phase*Total Pressure of Gas)/(Mole Fraction of Component in Liquid Phase*Activity Coefficient in Raoults Law)

Total Pressure using Modified Raoult's Law in VLE

LaTeX Go Total Pressure of Gas = (Mole Fraction of Component in Liquid Phase*Activity Coefficient in Raoults Law*Saturated pressure)/Mole Fraction of Component in Vapor Phase

< Modified Raoult's Law Calculators

Liquid Phase Mole Fraction using Modified Raoult's Law in VLE

LaTeX Go Mole Fraction of Component in Liquid Phase = (Mole Fraction of Component in Vapor Phase*Total Pressure of Gas)/(Activity Coefficient in Raoults Law*Saturated pressure)

Activity Coefficient using Modified Raoult's Law in VLE

LaTeX Go Activity Coefficient in Raoults Law = (Mole Fraction of Component in Vapor Phase*Total Pressure of Gas)/(Mole Fraction of Component in Liquid Phase*Saturated pressure)

Saturated Pressure using Modified Raoult's Law in VLE

LaTeX Go Saturated pressure = (Mole Fraction of Component in Vapor Phase*Total Pressure of Gas)/(Mole Fraction of Component in Liquid Phase*Activity Coefficient in Raoults Law)

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

LaTeX Go 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

Vapour Phase Mole Fraction using Modified Raoult's Law in 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 are the Limitations of Henry Law?

Henry law is only applicable when the molecules of the system are in a state of equilibrium. The second limitation is that it does not hold true when gases are placed under extremely high pressure. The third limitation that it is not applicable when the gas and the solution participate in chemical reactions with each other.

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

Vapour Phase Mole Fraction using Modified Raoult's Law in VLE calculator 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 calculate 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 y_Gas symbol.

How to calculate Vapour Phase Mole Fraction using Modified Raoult's Law in VLE using this online calculator? To use this online calculator for Vapour Phase Mole Fraction using Modified Raoult's Law in VLE, enter Mole Fraction of Component in Liquid Phase (x_Liquid), Activity Coefficient in Raoults Law (γ_Raoults), Saturated pressure (P^sat) & Total Pressure of Gas (P_T) and hit the calculate button. Here is how the Vapour Phase Mole Fraction using Modified Raoult's Law in VLE calculation can be explained with given input values -> 0.076164 = (0.51*0.9*50000)/102100.

FAQ

What is Vapour Phase Mole Fraction using Modified Raoult's Law in VLE?

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 and is represented as y_Gas = (x_Liquid*γ_Raoults*P^sat)/P_T or 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. 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 in Raoults Law 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 & Total pressure of Gas is the sum of all the forces that the gas molecules exert on the walls of their container.

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

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 is calculated using 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 calculate Vapour Phase Mole Fraction using Modified Raoult's Law in VLE, you need Mole Fraction of Component in Liquid Phase (x_Liquid), Activity Coefficient in Raoults Law (γ_Raoults), Saturated pressure (P^sat) & Total Pressure of Gas (P_T). With our tool, you need to enter the respective value for Mole Fraction of Component in Liquid Phase, Activity Coefficient in Raoults Law, Saturated pressure & Total Pressure of Gas and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Mole Fraction of Component in Vapor Phase?

In this formula, Mole Fraction of Component in Vapor Phase uses Mole Fraction of Component in Liquid Phase, Activity Coefficient in Raoults Law, Saturated pressure & Total Pressure of Gas. We can use 2 other way(s) to calculate the same, which is/are as follows -

Mole Fraction of Component in Vapor Phase = (Mole Fraction of Component in Liquid Phase*Henry Law Constant)/Total Pressure of Gas
Mole Fraction of Component in Vapor Phase = (Mole Fraction of Component in Liquid Phase*Saturated pressure)/Total Pressure of Gas

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