Saturated Pressure using Modified Raoult's Law in VLE Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
Psat = (yGas*PT)/(xLiquid*γRaoults)
This formula uses 5 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.
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 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.
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
Mole Fraction of Component in Liquid Phase: 0.51 --> No Conversion Required
Activity Coefficient in Raoults Law: 0.9 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Psat = (yGas*PT)/(xLiquidRaoults) --> (0.3*102100)/(0.51*0.9)
Evaluating ... ...
Psat = 66732.0261437908
STEP 3: Convert Result to Output's Unit
66732.0261437908 Pascal --> No Conversion Required
FINAL ANSWER
66732.0261437908 66732.03 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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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

Saturated Pressure using Modified Raoult's Law in VLE Formula

​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)
Psat = (yGas*PT)/(xLiquid*γRaoults)

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 Saturated Pressure using Modified Raoult's Law in VLE?

Saturated Pressure using Modified Raoult's Law in VLE calculator uses 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) to calculate the Saturated pressure, The Saturated Pressure using Modified 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 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 Modified Raoult's Law in VLE using this online calculator? To use this online calculator for Saturated Pressure using Modified Raoult's Law in VLE, enter Mole Fraction of Component in Vapor Phase (yGas), Total Pressure of Gas (PT), Mole Fraction of Component in Liquid Phase (xLiquid) & Activity Coefficient in Raoults Law Raoults) and hit the calculate button. Here is how the Saturated Pressure using Modified Raoult's Law in VLE calculation can be explained with given input values -> 196944.4 = (0.3*102100)/(0.51*0.9).

FAQ

What is Saturated Pressure using Modified Raoult's Law in VLE?
The Saturated Pressure using Modified 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 product of the liquid phase mole fraction and the activity coefficient of mixture or solution and is represented as Psat = (yGas*PT)/(xLiquidRaoults) or 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). 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, 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.
How to calculate Saturated Pressure using Modified Raoult's Law in VLE?
The Saturated Pressure using Modified 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 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*Total Pressure of Gas)/(Mole Fraction of Component in Liquid Phase*Activity Coefficient in Raoults Law). To calculate Saturated Pressure using Modified Raoult's Law in VLE, you need Mole Fraction of Component in Vapor Phase (yGas), Total Pressure of Gas (PT), Mole Fraction of Component in Liquid Phase (xLiquid) & Activity Coefficient in Raoults Law Raoults). With our tool, you need to enter the respective value for Mole Fraction of Component in Vapor Phase, Total Pressure of Gas, Mole Fraction of Component in Liquid Phase & Activity Coefficient in Raoults Law 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 Saturated pressure?
In this formula, Saturated pressure uses Mole Fraction of Component in Vapor Phase, Total Pressure of Gas, Mole Fraction of Component in Liquid Phase & Activity Coefficient in Raoults Law. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Saturated pressure = (Mole Fraction of Component in Vapor Phase*Total Pressure of Gas)/Mole Fraction of Component in Liquid Phase
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