Poynting Factor Solution

STEP 0: Pre-Calculation Summary
Formula Used
Poynting Factor = exp((-Volume of Liquid Phase*(Pressure-Saturated Pressure))/([R]*Temperature))
P.F. = exp((-Vl*(P-Psat))/([R]*T))
This formula uses 1 Constants, 1 Functions, 5 Variables
Constants Used
[R] - Universal gas constant Value Taken As 8.31446261815324
Functions Used
exp - n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable., exp(Number)
Variables Used
Poynting Factor - Poynting Factor can be stated as the change in fugacity as the pressure goes from the saturated pressure to pressure at a constant temperature.
Volume of Liquid Phase - (Measured in Cubic Meter) - Volume of Liquid Phase is the volume of a component in liquid phase.
Pressure - (Measured in Pascal) - Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.
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.
Temperature - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.
STEP 1: Convert Input(s) to Base Unit
Volume of Liquid Phase: 120 Cubic Meter --> 120 Cubic Meter No Conversion Required
Pressure: 38.4 Pascal --> 38.4 Pascal No Conversion Required
Saturated Pressure: 20 Pascal --> 20 Pascal No Conversion Required
Temperature: 450 Kelvin --> 450 Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P.F. = exp((-Vl*(P-Psat))/([R]*T)) --> exp((-120*(38.4-20))/([R]*450))
Evaluating ... ...
P.F. = 0.554251704363534
STEP 3: Convert Result to Output's Unit
0.554251704363534 --> No Conversion Required
FINAL ANSWER
0.554251704363534 0.554252 <-- Poynting Factor
(Calculation completed in 00.004 seconds)

Credits

Created by Shivam Sinha
National Institute Of Technology (NIT), Surathkal
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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

7 Fugacity and Fugacity Coefficient Calculators

Saturated Fugacity Coeff. using Poynting Factor Correlation and Fugacity of Liq. Phase Species
Go Saturated Fugacity Coefficient of Species = Fugacity of Liquid Phase Species/(Saturated Pressure*exp((-Volume of Liquid Phase*(Pressure-Saturated Pressure))/([R]*Temperature)))
Fugacity of Liq. Phase Species using Poynting Factor Correlation
Go Fugacity of Liquid Phase Species = Saturated Fugacity Coefficient of Species*Saturated Pressure*exp((Volume of Liquid Phase*(Pressure-Saturated Pressure))/([R]*Temperature))
Poynting Factor
Go Poynting Factor = exp((-Volume of Liquid Phase*(Pressure-Saturated Pressure))/([R]*Temperature))
Saturated Fugacity Coeff. using Poynting Factor and Fugacity of Liq. Phase Species
Go Saturated Fugacity Coefficient of Species = Fugacity of Liquid Phase Species/(Saturated Pressure*Poynting Factor)
Poynting Factor using Saturated Fugacity Coeff. and Fugacity of Liq. Phase Species
Go Poynting Factor = Fugacity of Liquid Phase Species/(Saturated Fugacity Coefficient of Species*Saturated Pressure)
Saturated Pressure using Poynting Factor and Fugacity of Liq. Phase Species
Go Saturated Pressure = Fugacity of Liquid Phase Species/(Saturated Fugacity Coefficient of Species*Poynting Factor)
Fugacity of Liq. Phase Species using Poynting Factor
Go Fugacity of Liquid Phase Species = Saturated Fugacity Coefficient of Species*Saturated Pressure*Poynting Factor

Poynting Factor Formula

Poynting Factor = exp((-Volume of Liquid Phase*(Pressure-Saturated Pressure))/([R]*Temperature))
P.F. = exp((-Vl*(P-Psat))/([R]*T))

What is Poynting Factor?

The Poynting effect generally refers to the change in the fugacity of a liquid when a non-condensable gas is mixed with the vapor at saturated conditions. at high pressure while remaining in the gaseous form is due to the Poynting effect. The poynting factor can be stated as the change in fugacity as the pressure goes from the saturated pressure to pressure at a constant 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 Poynting Factor?

Poynting Factor calculator uses Poynting Factor = exp((-Volume of Liquid Phase*(Pressure-Saturated Pressure))/([R]*Temperature)) to calculate the Poynting Factor, The Poynting factor formula is defined as the function of volume of liquid phase of a component, pressure, saturated pressure and temperature. Poynting Factor is denoted by P.F. symbol.

How to calculate Poynting Factor using this online calculator? To use this online calculator for Poynting Factor, enter Volume of Liquid Phase (Vl), Pressure (P), Saturated Pressure (Psat) & Temperature (T) and hit the calculate button. Here is how the Poynting Factor calculation can be explained with given input values -> 0.554252 = exp((-120*(38.4-20))/([R]*450)).

FAQ

What is Poynting Factor?
The Poynting factor formula is defined as the function of volume of liquid phase of a component, pressure, saturated pressure and temperature and is represented as P.F. = exp((-Vl*(P-Psat))/([R]*T)) or Poynting Factor = exp((-Volume of Liquid Phase*(Pressure-Saturated Pressure))/([R]*Temperature)). Volume of Liquid Phase is the volume of a component in liquid phase, Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed, 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 & Temperature is the degree or intensity of heat present in a substance or object.
How to calculate Poynting Factor?
The Poynting factor formula is defined as the function of volume of liquid phase of a component, pressure, saturated pressure and temperature is calculated using Poynting Factor = exp((-Volume of Liquid Phase*(Pressure-Saturated Pressure))/([R]*Temperature)). To calculate Poynting Factor, you need Volume of Liquid Phase (Vl), Pressure (P), Saturated Pressure (Psat) & Temperature (T). With our tool, you need to enter the respective value for Volume of Liquid Phase, Pressure, Saturated Pressure & Temperature 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 Poynting Factor?
In this formula, Poynting Factor uses Volume of Liquid Phase, Pressure, Saturated Pressure & Temperature. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Poynting Factor = Fugacity of Liquid Phase Species/(Saturated Fugacity Coefficient of Species*Saturated Pressure)
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