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

STEP 0: Pre-Calculation Summary
Formula Used
Mole Fraction of Component in Liquid Phase = (Mole Fraction of Component in Vapor Phase*Total Pressure of Gas)/Saturated pressure
xLiquid = (yGas*PT)/Psat
This formula uses 4 Variables
Variables Used
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.
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.
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.
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
Total Pressure of Gas: 102100 Pascal --> 102100 Pascal No Conversion Required
Saturated pressure: 50000 Pascal --> 50000 Pascal No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
xLiquid = (yGas*PT)/Psat --> (0.3*102100)/50000
Evaluating ... ...
xLiquid = 0.6126
STEP 3: Convert Result to Output's Unit
0.6126 --> No Conversion Required
FINAL ANSWER
0.6126 <-- Mole Fraction of Component in Liquid Phase
(Calculation completed in 00.006 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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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

Raoult's Law Calculators

Total Pressure for Binary Vapour System for Dew-Bubble Point Calculations with Raoult's Law
​ LaTeX ​ Go Total Pressure of Gas = 1/((Mole Fraction of Component 1 in Vapour Phase/Saturated Pressure of Component 1)+(Mole Fraction of Component 2 in Vapour Phase/Saturated Pressure of Component 2))
Total Pressure for Binary Liquid System for Dew-Bubble Point Calculations with Raoult's Law
​ LaTeX ​ Go Total Pressure of Gas = (Mole Fraction of Component 1 in Liquid Phase*Saturated Pressure of Component 1)+(Mole Fraction of Component 2 in Liquid Phase*Saturated Pressure of Component 2)
Liquid Phase Mole Fraction using 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)/Saturated pressure
Saturated Pressure using 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

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

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

Explain Vapour Liquid Equilibrium (VLE).

The vapor–liquid equilibrium (VLE) describes the distribution of a chemical species between the vapor phase and a liquid phase. The concentration of vapor in contact with its liquid, especially at equilibrium, is often expressed in terms of vapor pressure, which will be a partial pressure (a part of the total gas pressure) if any other gas(es) are present with the vapor. The equilibrium vapor pressure of a liquid is in general strongly dependent on temperature. At vapor–liquid equilibrium, a liquid with individual components in certain concentrations will have an equilibrium vapor in which the concentrations or partial pressures of the vapor components have certain values depending on all of the liquid component concentrations and the temperature.

What are the Limitations of Raoult's Law.

Raoult’s law is applicable only to very dilute solutions. The second limitation is that it's applicable to solutions containing non-volatile solute only. The third limitation is that it's not applicable to solutes that dissociate or associate in the particular solution.

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

Liquid Phase Mole Fraction using Raoult's Law in VLE calculator uses Mole Fraction of Component in Liquid Phase = (Mole Fraction of Component in Vapor Phase*Total Pressure of Gas)/Saturated pressure to calculate the Mole Fraction of Component in Liquid Phase, The Liquid Phase Mole Fraction using Raoult's Law in VLE formula is defined as the ratio of the product of the vapour phase mole fraction and the total pressure to the saturated pressure of mixture or solution. Mole Fraction of Component in Liquid Phase is denoted by xLiquid symbol.

How to calculate Liquid Phase Mole Fraction using Raoult's Law in VLE using this online calculator? To use this online calculator for Liquid Phase Mole Fraction using Raoult's Law in VLE, enter Mole Fraction of Component in Vapor Phase (yGas), Total Pressure of Gas (PT) & Saturated pressure (Psat ) and hit the calculate button. Here is how the Liquid Phase Mole Fraction using Raoult's Law in VLE calculation can be explained with given input values -> 1.80795 = (0.3*102100)/50000.

FAQ

What is Liquid Phase Mole Fraction using Raoult's Law in VLE?
The Liquid Phase Mole Fraction using Raoult's Law in VLE formula is defined as the ratio of the product of the vapour phase mole fraction and the total pressure to the saturated pressure of mixture or solution and is represented as xLiquid = (yGas*PT)/Psat or Mole Fraction of Component in Liquid Phase = (Mole Fraction of Component in Vapor Phase*Total Pressure of Gas)/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, Total pressure of Gas is the sum of all the forces that the gas molecules exert on the walls of their container & 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 Liquid Phase Mole Fraction using Raoult's Law in VLE?
The Liquid Phase Mole Fraction using Raoult's Law in VLE formula is defined as the ratio of the product of the vapour phase mole fraction and the total pressure to the saturated pressure of mixture or solution is calculated using Mole Fraction of Component in Liquid Phase = (Mole Fraction of Component in Vapor Phase*Total Pressure of Gas)/Saturated pressure. To calculate Liquid Phase Mole Fraction using Raoult's Law in VLE, you need Mole Fraction of Component in Vapor Phase (yGas), Total Pressure of Gas (PT) & Saturated pressure (Psat ). With our tool, you need to enter the respective value for Mole Fraction of Component in Vapor Phase, Total Pressure of Gas & Saturated pressure 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 Liquid Phase?
In this formula, Mole Fraction of Component in Liquid Phase uses Mole Fraction of Component in Vapor Phase, Total Pressure of Gas & Saturated pressure. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • 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)
  • Mole Fraction of Component in Liquid Phase = (Mole Fraction of Component in Vapor Phase*Total Pressure of Gas)/Henry Law Constant
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