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

GoTotal Pressure using Modified Raoult's Law in VLE Formula

GoTotal Pressure using Henry Law in VLE Formula

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Total pressure of Gas is the sum of all the forces that the gas molecules exert on the walls of their container. Check FAQs

P T = \frac{1}{(\frac{y 1}{γ 1 \cdot P1 sat}) + (\frac{y 2}{γ 2 \cdot P2 sat})}

P_T - Total Pressure of Gas?y₁ - Mole Fraction of Component 1 in Vapour Phase?γ₁ - Activity Coefficient of Component 1?P1^sat - Saturated Pressure of Component 1?y₂ - Mole Fraction of Component 2 in Vapour Phase?γ₂ - Activity Coefficient of Component 2?P2^sat - Saturated Pressure of Component 2?

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

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Here is how the Total Pressure for Binary Vapour System for Dew-Bubble Point calculations with Modified Raoult's Law equation looks like with Values.

Here is how the Total Pressure for Binary Vapour System for Dew-Bubble Point calculations with Modified Raoult's Law equation looks like with Units.

Here is how the Total Pressure for Binary Vapour System for Dew-Bubble Point calculations with Modified Raoult's Law equation looks like.

12.9894 = \frac{1}{(\frac{0.5}{1.13 \cdot 10}) + (\frac{0.55}{1.12 \cdot 15})}

12.9894Pa = \frac{1}{(\frac{0.5}{1.13 \cdot 10Pa}) + (\frac{0.55}{1.12 \cdot 15Pa})}

12.9894 = \frac{1}{(\frac{0.5}{1.13 \cdot 10}) + (\frac{0.55}{1.12 \cdot 15})}

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Home » Engineering » Chemical Engineering » Thermodynamics » 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 Solution

Follow our step by step solution on how to calculate Total Pressure for Binary Vapour System for Dew-Bubble Point calculations with Modified Raoult's Law?

FIRST Step Consider the formula

P T = \frac{1}{(\frac{y 1}{γ 1 \cdot P1 sat}) + (\frac{y 2}{γ 2 \cdot P2 sat})}

Next Step Substitute values of Variables

∴

P T = \frac{1}{(\frac{0.5}{1.13 \cdot 10Pa}) + (\frac{0.55}{1.12 \cdot 15Pa})}

Next Step Prepare to Evaluate

∴

P T = \frac{1}{(\frac{0.5}{1.13 \cdot 10}) + (\frac{0.55}{1.12 \cdot 15})}

Next Step Evaluate

∴

P T = 12.9893944577489Pa

LAST Step Rounding Answer

∴

P T = 12.9894Pa

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

Variables

Total Pressure of Gas

Total pressure of Gas is the sum of all the forces that the gas molecules exert on the walls of their container.

Symbol: P_T

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

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.

Symbol: y₁

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

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.

Symbol: γ₁

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Saturated Pressure of Component 1

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.

Symbol: P1^sat

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

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.

Symbol: y₂

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

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.

Symbol: γ₂

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Saturated Pressure of Component 2

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.

Symbol: P2^sat

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Credits

Created by Shivam Sinha

National Institute Of Technology (NIT), Surathkal

Shivam Sinha has created this Formula and 300+ more formulas!

Verified by Akshada Kulkarni

National Institute of Information Technology (NIIT), Neemrana

Akshada Kulkarni has verified this Formula and 900+ more formulas!

Other Formulas to find Total Pressure of Gas

Go Total Pressure using Modified Raoult's Law in VLE

P T = \frac{x Liquid \cdot γ Raoults \cdot P sat}{y Gas}

Go Total Pressure using Henry Law in VLE

P T = \frac{x Liquid \cdot K H}{y Gas}

Other formulas in Raoult’s Law, Modified Raoult’s Law, and Henry’s Law in VLE category

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

x Liquid = \frac{y Gas \cdot P T}{γ Raoults \cdot P sat}

Go Activity Coefficient using Modified Raoult's Law in VLE

γ Raoults = \frac{y Gas \cdot P T}{x Liquid \cdot P sat}

How to Evaluate 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 evaluator 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 evaluate 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 evaluate Total Pressure for Binary Vapour System for Dew-Bubble Point calculations with Modified Raoult's Law using this online evaluator? To use this online evaluator 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.

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

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

The formula of Total Pressure for Binary Vapour System for Dew-Bubble Point calculations with Modified Raoult's Law is expressed as 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))). Here is an example- 12.98939 = 1/((0.5/(1.13*10))+(0.55/(1.12*15))).

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

With 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) we can find Total Pressure for Binary Vapour System for Dew-Bubble Point calculations with Modified Raoult's Law using the formula - 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))).

What are the other ways to Calculate Total Pressure of Gas?

Here are the different ways to Calculate Total Pressure of Gas-

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

Can the Total Pressure for Binary Vapour System for Dew-Bubble Point calculations with Modified Raoult's Law be negative?

Yes, the Total Pressure for Binary Vapour System for Dew-Bubble Point calculations with Modified Raoult's Law, measured in Pressure can be negative.

Which unit is used to measure 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 is usually measured using the Pascal[Pa] for Pressure. Kilopascal[Pa], Bar[Pa], Pound Per Square Inch[Pa] are the few other units in which Total Pressure for Binary Vapour System for Dew-Bubble Point calculations with Modified Raoult's Law can be measured.

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

​GoTotal Pressure using Modified Raoult's Law in VLE Formula

​GoTotal Pressure using Henry Law in VLE Formula

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

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

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

Credits

Other Formulas to find Total Pressure of Gas

Other formulas in Raoult’s Law, Modified Raoult’s Law, and Henry’s Law in VLE category

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

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

Variable Name

GoTotal Pressure using Modified Raoult's Law in VLE Formula

GoTotal Pressure using Henry Law in VLE Formula