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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
PT=(x1⋅γ1⋅P1sat)+(x2⋅γ2⋅P2sat)
PT - Total Pressure of Gas?x1 - Mole Fraction of Component 1 in Liquid Phase?γ1 - Activity Coefficient of Component 1?P1sat - Saturated Pressure of Component 1?x2 - Mole Fraction of Component 2 in Liquid Phase?γ2 - Activity Coefficient of Component 2?P2sat - Saturated Pressure of Component 2?

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

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

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

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

14.6Edit=(0.4Edit⋅1.13Edit⋅10Edit)+(0.6Edit⋅1.12Edit⋅15Edit)
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Total Pressure for Binary Liquid 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 Liquid System for Dew-Bubble Point Calculations with Modified Raoult's Law?

FIRST Step Consider the formula
PT=(x1⋅γ1⋅P1sat)+(x2⋅γ2⋅P2sat)
Next Step Substitute values of Variables
∴ PT=(0.4⋅1.13⋅10Pa)+(0.6⋅1.12⋅15Pa)
Next Step Prepare to Evaluate
∴ PT=(0.4⋅1.13⋅10)+(0.6⋅1.12⋅15)
LAST Step Evaluate
∴PT=14.6Pa

Total Pressure for Binary Liquid 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: PT
Measurement: PressureUnit: Pa
Note: Value can be positive or negative.
Mole Fraction of Component 1 in Liquid Phase
The mole fraction of component 1 in liquid 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 liquid phase.
Symbol: x1
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: P1sat
Measurement: PressureUnit: Pa
Note: Value can be positive or negative.
Mole Fraction of Component 2 in Liquid Phase
The mole fraction of component 2 in liquid 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 liquid phase.
Symbol: x2
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: P2sat
Measurement: PressureUnit: Pa
Note: Value can be positive or negative.

Credits

Creator Image
Created by Shivam Sinha
National Institute Of Technology (NIT), Surathkal
Shivam Sinha has created this Formula and 300+ more formulas!
Verifier Image
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
PT=xLiquid⋅γRaoults⋅Psat yGas
​Go Total Pressure using Henry Law in VLE
PT=xLiquid⋅KHyGas

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
xLiquid=yGas⋅PTγRaoults⋅Psat
​Go Activity Coefficient using Modified Raoult's Law in VLE
γRaoults=yGas⋅PTxLiquid⋅Psat

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

Total Pressure for Binary Liquid System for Dew-Bubble Point Calculations with Modified Raoult's Law evaluator uses Total Pressure of Gas = (Mole Fraction of Component 1 in Liquid Phase*Activity Coefficient of Component 1*Saturated Pressure of Component 1)+(Mole Fraction of Component 2 in Liquid Phase*Activity Coefficient of Component 2*Saturated Pressure of Component 2) to evaluate the Total Pressure of Gas, The Total Pressure for Binary Liquid System for Dew-Bubble Point Calculations with Modified Raoult's Law formula is defined as the summation of the product of mole fraction of i th component, 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 PT symbol.

How to evaluate Total Pressure for Binary Liquid 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 Liquid System for Dew-Bubble Point Calculations with Modified Raoult's Law, enter Mole Fraction of Component 1 in Liquid Phase (x1), Activity Coefficient of Component 1 (γ1), Saturated Pressure of Component 1 (P1sat), Mole Fraction of Component 2 in Liquid Phase (x2), Activity Coefficient of Component 2 (γ2) & Saturated Pressure of Component 2 (P2sat) and hit the calculate button.

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

What is the formula to find Total Pressure for Binary Liquid System for Dew-Bubble Point Calculations with Modified Raoult's Law?
The formula of Total Pressure for Binary Liquid System for Dew-Bubble Point Calculations with Modified Raoult's Law is expressed as Total Pressure of Gas = (Mole Fraction of Component 1 in Liquid Phase*Activity Coefficient of Component 1*Saturated Pressure of Component 1)+(Mole Fraction of Component 2 in Liquid Phase*Activity Coefficient of Component 2*Saturated Pressure of Component 2). Here is an example- 14.6 = (0.4*1.13*10)+(0.6*1.12*15).
How to calculate Total Pressure for Binary Liquid System for Dew-Bubble Point Calculations with Modified Raoult's Law?
With Mole Fraction of Component 1 in Liquid Phase (x1), Activity Coefficient of Component 1 (γ1), Saturated Pressure of Component 1 (P1sat), Mole Fraction of Component 2 in Liquid Phase (x2), Activity Coefficient of Component 2 (γ2) & Saturated Pressure of Component 2 (P2sat) we can find Total Pressure for Binary Liquid System for Dew-Bubble Point Calculations with Modified Raoult's Law using the formula - Total Pressure of Gas = (Mole Fraction of Component 1 in Liquid Phase*Activity Coefficient of Component 1*Saturated Pressure of Component 1)+(Mole Fraction of Component 2 in Liquid 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 Liquid System for Dew-Bubble Point Calculations with Modified Raoult's Law be negative?
Yes, the Total Pressure for Binary Liquid 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 Liquid System for Dew-Bubble Point Calculations with Modified Raoult's Law?
Total Pressure for Binary Liquid 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 Liquid System for Dew-Bubble Point Calculations with Modified Raoult's Law can be measured.
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