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Total Pressure using Modified Raoult's Law in VLE Calculator

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Raoult’s Law, Modified Raoult’s Law, and Henry’s Law in VLE Antoine Equation Correlations for Liquid Phase Activity Coefficients Fitting Activity Coefficient Models to VLE Data More >>

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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%
✖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 Vapor Phase [y_Gas]			+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 using Modified Raoult's Law in VLE [P_T]

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Total Pressure using Modified Raoult's Law in VLE Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.

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
Mole Fraction of Component in Vapor Phase: 0.3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_T = (x_Liquid*γ_Raoults*P^sat)/y_Gas --> (0.51*0.9*50000)/0.3

Evaluating ... ...

P_T = 76500

STEP 3: Convert Result to Output's Unit

76500 Pascal --> No Conversion Required

FINAL ANSWER

76500 Pascal <-- Total Pressure of Gas

(Calculation completed in 01.089 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

Total Pressure 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 Total Pressure using Modified Raoult's Law in VLE?

Total Pressure using Modified Raoult's Law in VLE calculator uses 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 to calculate the Total Pressure of Gas, The Total Pressure 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 vapour phase mole fraction of mixture or solution. Total Pressure of Gas is denoted by P_T symbol.

How to calculate Total Pressure using Modified Raoult's Law in VLE using this online calculator? To use this online calculator for Total Pressure 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) & Mole Fraction of Component in Vapor Phase (y_Gas) and hit the calculate button. Here is how the Total Pressure using Modified Raoult's Law in VLE calculation can be explained with given input values -> 76500 = (0.51*0.9*50000)/0.3.

FAQ

What is Total Pressure using Modified Raoult's Law in VLE?

The Total Pressure 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 vapour phase mole fraction of mixture or solution and is represented as P_T = (x_Liquid*γ_Raoults*P^sat)/y_Gas or 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. 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 & 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.

How to calculate Total Pressure using Modified Raoult's Law in VLE?

The Total Pressure 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 vapour phase mole fraction of mixture or solution is calculated using 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. To calculate Total Pressure 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) & Mole Fraction of Component in Vapor Phase (y_Gas). 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 & Mole Fraction of Component in Vapor Phase 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 Total Pressure of Gas?

In this formula, Total Pressure of Gas uses Mole Fraction of Component in Liquid Phase, Activity Coefficient in Raoults Law, Saturated pressure & Mole Fraction of Component in Vapor Phase. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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