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

STEP 0: Pre-Calculation Summary
Formula Used
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)
PT = (x1*γ1*P1sat)+(x2*γ2*P2sat)
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 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.
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 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.
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 Liquid Phase: 0.4 --> 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 Liquid Phase: 0.6 --> 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
PT = (x11*P1sat)+(x22*P2sat) --> (0.4*1.13*10)+(0.6*1.12*15)
Evaluating ... ...
PT = 14.6
STEP 3: Convert Result to Output's Unit
14.6 Pascal --> No Conversion Required
FINAL ANSWER
14.6 Pascal <-- Total Pressure of Gas
(Calculation completed in 00.004 seconds)

Credits

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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18 Raoult’s Law, Modified Raoult’s Law, and Henry’s Law in VLE Calculators

Total Pressure for Binary Vapour System for Dew-Bubble Point calculations with Modified Raoult's Law
Go 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)))
Total Pressure for Binary Liquid System for Dew-Bubble Point Calculations with Modified Raoult's Law
Go 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)
Total Pressure for Binary Vapour System for Dew-Bubble Point Calculations with Raoult's Law
Go Total Pressure of Gas = 1/((Mole Fraction of Component 1 in Vapour Phase/Saturated Pressure of Component 1)+(Mole Fraction of Component 2 in Vapour Phase/Saturated Pressure of Component 2))
Total Pressure for Binary Liquid System for Dew-Bubble Point Calculations with Raoult's Law
Go 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)
Liquid Phase Mole Fraction using Modified Raoult's Law in VLE
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
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
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
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
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
Poynting Factor
Go Poynting Factor = exp((-Volume of Liquid Phase*(Pressure-Saturated Pressure))/([R]*Temperature))
Liquid Phase Mole Fraction using Raoult's Law in VLE
Go Mole Fraction of Component in Liquid Phase = (Mole Fraction of Component in Vapor Phase*Total Pressure of Gas)/Saturated pressure
Vapour Phase Mole Fraction using Raoult's Law in VLE
Go Mole Fraction of Component in Vapor Phase = (Mole Fraction of Component in Liquid Phase*Saturated pressure)/Total Pressure of Gas
Liquid Phase Mole Fraction using Henry Law in VLE
Go Mole Fraction of Component in Liquid Phase = (Mole Fraction of Component in Vapor Phase*Total Pressure of Gas)/Henry Law Constant
Vapour Phase Mole Fraction using Henry Law in VLE
Go Mole Fraction of Component in Vapor Phase = (Mole Fraction of Component in Liquid Phase*Henry Law Constant)/Total Pressure of Gas
Saturated Pressure using Raoult's Law in VLE
Go Saturated pressure = (Mole Fraction of Component in Vapor Phase*Total Pressure of Gas)/Mole Fraction of Component in Liquid Phase
Henry Law Constant using Henry Law in VLE
Go Henry Law Constant = (Mole Fraction of Component in Vapor Phase*Total Pressure of Gas)/Mole Fraction of Component in Liquid Phase
Total Pressure using Raoult's Law in VLE
Go Total Pressure of Gas = (Mole Fraction of Component in Liquid Phase*Saturated pressure)/Mole Fraction of Component in Vapor Phase
Total Pressure using Henry Law in VLE
Go Total Pressure of Gas = (Mole Fraction of Component in Liquid Phase*Henry Law Constant)/Mole Fraction of Component in Vapor Phase

Total Pressure for Binary Liquid System for Dew-Bubble Point Calculations with Modified Raoult's Law 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)
PT = (x1*γ1*P1sat)+(x2*γ2*P2sat)

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 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 calculator 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 calculate 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 calculate Total Pressure for Binary Liquid 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 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 1), Saturated Pressure of Component 1 (P1sat), Mole Fraction of Component 2 in Liquid Phase (x2), Activity Coefficient of Component 2 2) & Saturated Pressure of Component 2 (P2sat) and hit the calculate button. Here is how the Total Pressure for Binary Liquid System for Dew-Bubble Point Calculations with Modified Raoult's Law calculation can be explained with given input values -> 14.6 = (0.4*1.13*10)+(0.6*1.12*15).

FAQ

What is Total Pressure for Binary Liquid System for Dew-Bubble Point Calculations with Modified Raoult's Law?
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 and is represented as PT = (x11*P1sat)+(x22*P2sat) or 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). 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, 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 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, 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 Liquid System for Dew-Bubble Point Calculations with Modified Raoult's Law?
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 is calculated using 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 calculate Total Pressure for Binary Liquid System for Dew-Bubble Point Calculations with Modified Raoult's Law, you need Mole Fraction of Component 1 in Liquid Phase (x1), Activity Coefficient of Component 1 1), Saturated Pressure of Component 1 (P1sat), Mole Fraction of Component 2 in Liquid Phase (x2), Activity Coefficient of Component 2 2) & Saturated Pressure of Component 2 (P2sat). With our tool, you need to enter the respective value for 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 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 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. We can use 6 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
  • 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)
  • Total Pressure of Gas = 1/((Mole Fraction of Component 1 in Vapour Phase/Saturated Pressure of Component 1)+(Mole Fraction of Component 2 in Vapour Phase/Saturated Pressure of Component 2))
  • 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)))
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