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Total Pressure for Binary Vapour System for Dew-Bubble Point calculations with Modified Raoult's Law Calculator

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✖The mole fraction of component 1 in vapour phase can be defined as the ratio of the number of moles a component 1 to the total number of moles of components present in the vapour phase.ⓘ Mole Fraction of Component 1 in Vapour Phase [y₁]			+10% -10%
✖Activity Coefficient of Component 1 is a factor used in thermodynamics to account for deviations from ideal behaviour in a mixture of chemical substances.ⓘ Activity Coefficient of Component 1 [γ₁]			+10% -10%
✖Saturated pressure of component 1 is the pressure at which the given component 1 liquid and its vapour or a given solid and its vapour can co-exist in equilibrium, at a given temperature.ⓘ Saturated Pressure of Component 1 [P1^sat]			+10% -10%
✖The Mole Fraction of Component 2 in Vapour Phase can be defined as the ratio of the number of moles a component 2 to the total number of moles of components present in the vapour phase.ⓘ Mole Fraction of Component 2 in Vapour Phase [y₂]			+10% -10%
✖Activity coefficient of component 2 is a factor used in thermodynamics to account for deviations from ideal behaviour in a mixture of chemical substances.ⓘ Activity Coefficient of Component 2 [γ₂]			+10% -10%
✖Saturated pressure of component 2 is the pressure at which the given component 2 liquid and its vapour or a given solid and its vapour can co-exist in equilibrium, at a given temperature.ⓘ Saturated Pressure of Component 2 [P2^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 for Binary Vapour System for Dew-Bubble Point calculations with Modified Raoult's Law [P_T]

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Total Pressure for Binary Vapour System for Dew-Bubble Point calculations with Modified Raoult's Law Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Pressure of Gas = 1/((Mole Fraction of Component 1 in Vapour Phase/(Activity Coefficient of Component 1*Saturated Pressure of Component 1))+(Mole Fraction of Component 2 in Vapour Phase/(Activity Coefficient of Component 2*Saturated Pressure of Component 2)))
P_T = 1/((y₁/(γ₁*P1^sat))+(y₂/(γ₂*P2^sat)))
This formula uses 7 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 1 in Vapour Phase - The mole fraction of component 1 in vapour phase can be defined as the ratio of the number of moles a component 1 to the total number of moles of components present in the vapour phase.
Activity Coefficient of Component 1 - Activity Coefficient of Component 1 is a factor used in thermodynamics to account for deviations from ideal behaviour in a mixture of chemical substances.
Saturated Pressure of Component 1 - (Measured in Pascal) - Saturated pressure of component 1 is the pressure at which the given component 1 liquid and its vapour or a given solid and its vapour can co-exist in equilibrium, at a given temperature.
Mole Fraction of Component 2 in Vapour Phase - The Mole Fraction of Component 2 in Vapour Phase can be defined as the ratio of the number of moles a component 2 to the total number of moles of components present in the vapour phase.
Activity Coefficient of Component 2 - Activity coefficient of component 2 is a factor used in thermodynamics to account for deviations from ideal behaviour in a mixture of chemical substances.
Saturated Pressure of Component 2 - (Measured in Pascal) - Saturated pressure of component 2 is the pressure at which the given component 2 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 1 in Vapour Phase: 0.5 --> No Conversion Required
Activity Coefficient of Component 1: 1.13 --> No Conversion Required
Saturated Pressure of Component 1: 10 Pascal --> 10 Pascal No Conversion Required
Mole Fraction of Component 2 in Vapour Phase: 0.55 --> No Conversion Required
Activity Coefficient of Component 2: 1.12 --> No Conversion Required
Saturated Pressure of Component 2: 15 Pascal --> 15 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_T = 1/((y₁/(γ₁*P1^sat))+(y₂/(γ₂*P2^sat))) --> 1/((0.5/(1.13*10))+(0.55/(1.12*15)))

Evaluating ... ...

P_T = 12.9893944577489

STEP 3: Convert Result to Output's Unit

12.9893944577489 Pascal --> No Conversion Required

FINAL ANSWER

12.9893944577489 ≈ 12.98939 Pascal <-- Total Pressure of Gas

(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

Total Pressure for Binary Vapour System for Dew-Bubble Point calculations with Modified Raoult's Law Formula

LaTeX Go

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 is Duhem’s Theorem?

For any closed system formed from known amounts of prescribed chemical species, the equilibrium state is completely determined when any two independent variables are fixed. The two independent variables subject to specification may in general be either intensive or extensive. However, the number of independent intensive variables is given by the phase rule. Thus when F = 1, at least one of the two variables must be extensive, and when F = 0, both must be extensive.

How to Calculate Total Pressure for Binary Vapour System for Dew-Bubble Point calculations with Modified Raoult's Law?

Total Pressure for Binary Vapour System for Dew-Bubble Point calculations with Modified Raoult's Law calculator uses Total Pressure of Gas = 1/((Mole Fraction of Component 1 in Vapour Phase/(Activity Coefficient of Component 1*Saturated Pressure of Component 1))+(Mole Fraction of Component 2 in Vapour Phase/(Activity Coefficient of Component 2*Saturated Pressure of Component 2))) to calculate the Total Pressure of Gas, The Total Pressure for Binary Vapour System for Dew-Bubble Point calculations with Modified Raoult's Law formula is defined as the reciprocal of the summation of the ratio of mole fraction of i th component to the product of activity coefficient of i th component and the saturated pressure of i th component, where i = 2 for the binary system. Total Pressure of Gas is denoted by P_T symbol.

How to calculate Total Pressure for Binary Vapour System for Dew-Bubble Point calculations with Modified Raoult's Law using this online calculator? To use this online calculator for Total Pressure for Binary Vapour System for Dew-Bubble Point calculations with Modified Raoult's Law, enter Mole Fraction of Component 1 in Vapour Phase (y₁), Activity Coefficient of Component 1 (γ₁), Saturated Pressure of Component 1 (P1^sat), Mole Fraction of Component 2 in Vapour Phase (y₂), Activity Coefficient of Component 2 (γ₂) & Saturated Pressure of Component 2 (P2^sat) and hit the calculate button. Here is how the Total Pressure for Binary Vapour System for Dew-Bubble Point calculations with Modified Raoult's Law calculation can be explained with given input values -> 12.98939 = 1/((0.5/(1.13*10))+(0.55/(1.12*15))).

FAQ

What is Total Pressure for Binary Vapour System for Dew-Bubble Point calculations with Modified Raoult's Law?

The Total Pressure for Binary Vapour System for Dew-Bubble Point calculations with Modified Raoult's Law formula is defined as the reciprocal of the summation of the ratio of mole fraction of i th component to the product of activity coefficient of i th component and the saturated pressure of i th component, where i = 2 for the binary system and is represented as P_T = 1/((y₁/(γ₁*P1^sat))+(y₂/(γ₂*P2^sat))) or Total Pressure of Gas = 1/((Mole Fraction of Component 1 in Vapour Phase/(Activity Coefficient of Component 1*Saturated Pressure of Component 1))+(Mole Fraction of Component 2 in Vapour Phase/(Activity Coefficient of Component 2*Saturated Pressure of Component 2))). The mole fraction of component 1 in vapour phase can be defined as the ratio of the number of moles a component 1 to the total number of moles of components present in the vapour phase, Activity Coefficient of Component 1 is a factor used in thermodynamics to account for deviations from ideal behaviour in a mixture of chemical substances, Saturated pressure of component 1 is the pressure at which the given component 1 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 2 in Vapour Phase can be defined as the ratio of the number of moles a component 2 to the total number of moles of components present in the vapour phase, Activity coefficient of component 2 is a factor used in thermodynamics to account for deviations from ideal behaviour in a mixture of chemical substances & Saturated pressure of component 2 is the pressure at which the given component 2 liquid and its vapour or a given solid and its vapour can co-exist in equilibrium, at a given temperature.

How to calculate Total Pressure for Binary Vapour System for Dew-Bubble Point calculations with Modified Raoult's Law?

The Total Pressure for Binary Vapour System for Dew-Bubble Point calculations with Modified Raoult's Law formula is defined as the reciprocal of the summation of the ratio of mole fraction of i th component to the product of activity coefficient of i th component and the saturated pressure of i th component, where i = 2 for the binary system is calculated using Total Pressure of Gas = 1/((Mole Fraction of Component 1 in Vapour Phase/(Activity Coefficient of Component 1*Saturated Pressure of Component 1))+(Mole Fraction of Component 2 in Vapour Phase/(Activity Coefficient of Component 2*Saturated Pressure of Component 2))). To calculate Total Pressure for Binary Vapour System for Dew-Bubble Point calculations with Modified Raoult's Law, you need Mole Fraction of Component 1 in Vapour Phase (y₁), Activity Coefficient of Component 1 (γ₁), Saturated Pressure of Component 1 (P1^sat), Mole Fraction of Component 2 in Vapour Phase (y₂), Activity Coefficient of Component 2 (γ₂) & Saturated Pressure of Component 2 (P2^sat). With our tool, you need to enter the respective value for Mole Fraction of Component 1 in Vapour Phase, Activity Coefficient of Component 1, Saturated Pressure of Component 1, Mole Fraction of Component 2 in Vapour Phase, Activity Coefficient of Component 2 & Saturated Pressure of Component 2 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 1 in Vapour Phase, Activity Coefficient of Component 1, Saturated Pressure of Component 1, Mole Fraction of Component 2 in Vapour Phase, Activity Coefficient of Component 2 & Saturated Pressure of Component 2. 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*Activity Coefficient in Raoults Law*Saturated pressure)/Mole Fraction of Component in Vapor Phase
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

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