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Saturated Pressure of Component using K-value Expression for Gamma-Phi Formulation Calculator

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K values for Gamma Phi formulation, Raoult’s Law, Modified Raoult’s Law, and Henry’s Law

✖K value is defined as the ratio of vapor-phase mole fraction to the liquid phase mole fraction.ⓘ K value [K]			+10% -10%
✖Fugacity Coefficient in Raoults Law is the ratio of fugacity to the pressure of that component.ⓘ Fugacity Coefficient in Raoults Law [ϕ_Raoults]			+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 of Gas [P_T]			+10% -10%
✖Activity Coefficient in Raoults Law is a factor used in thermodynamics to account for deviations from ideal behaviour in a mixture of chemical substances.ⓘ Activity Coefficient in Raoults Law [γ_Raoults]			+10% -10%

✖Saturated Pressure in Gamma-Phi Formulation in Raoults Law 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.ⓘ Saturated Pressure of Component using K-value Expression for Gamma-Phi Formulation [P_sat]

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Saturated Pressure of Component using K-value Expression for Gamma-Phi Formulation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Saturated Pressure in Gamma-Phi Formulation = (K value*Fugacity Coefficient in Raoults Law*Total Pressure of Gas)/Activity Coefficient in Raoults Law
P_sat = (K*ϕ_Raoults*P_T)/γ_Raoults
This formula uses 5 Variables

Variables Used

Saturated Pressure in Gamma-Phi Formulation - (Measured in Pascal) - Saturated Pressure in Gamma-Phi Formulation in Raoults Law 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.
K value - K value is defined as the ratio of vapor-phase mole fraction to the liquid phase mole fraction.
Fugacity Coefficient in Raoults Law - Fugacity Coefficient in Raoults Law is the ratio of fugacity to the pressure of that component.
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.
Activity Coefficient in Raoults Law - Activity Coefficient in Raoults Law is a factor used in thermodynamics to account for deviations from ideal behaviour in a mixture of chemical substances.

STEP 1: Convert Input(s) to Base Unit

K value: 0.85 --> No Conversion Required
Fugacity Coefficient in Raoults Law: 0.2 --> No Conversion Required
Total Pressure of Gas: 102100 Pascal --> 102100 Pascal No Conversion Required
Activity Coefficient in Raoults Law: 0.9 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_sat = (K*ϕ_Raoults*P_T)/γ_Raoults --> (0.85*0.2*102100)/0.9

Evaluating ... ...

P_sat = 19285.5555555556

STEP 3: Convert Result to Output's Unit

19285.5555555556 Pascal --> No Conversion Required

FINAL ANSWER

19285.5555555556 ≈ 19285.56 Pascal <-- Saturated Pressure in Gamma-Phi Formulation

(Calculation completed in 00.004 seconds)

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< K values for Gamma Phi formulation, Raoult’s Law, Modified Raoult’s Law, and Henry’s Law Calculators

Fugacity Coefficient of Component using K-Value Expression for Gamma-Phi Formulation

LaTeX Go Fugacity Coefficient in Raoults Law = (Activity Coefficient in Raoults Law*Saturated Pressure in Gamma-Phi Formulation)/(K value*Total Pressure of Gas)

K-Value of Component using Gamma-Phi Formulation

LaTeX Go K value = (Activity Coefficient in Raoults Law*Saturated Pressure in Gamma-Phi Formulation)/(Fugacity Coefficient in Raoults Law*Total Pressure of Gas)

Activity Coefficient of Component using K-Value Expression for Gamma-Phi Formulation

LaTeX Go Activity Coefficient in Raoults Law = (K value*Fugacity Coefficient in Raoults Law*Total Pressure of Gas)/Saturated Pressure in Gamma-Phi Formulation

K-Value or Vapour-Liquid Distribution Ratio of Component

LaTeX Go K value = Mole Fraction of Component in Vapor Phase/Mole Fraction of Component in Liquid Phase

Saturated Pressure of Component using K-value Expression for Gamma-Phi Formulation Formula

LaTeX Go

Saturated Pressure in Gamma-Phi Formulation = (K value*Fugacity Coefficient in Raoults Law*Total Pressure of Gas)/Activity Coefficient in Raoults Law
P_sat = (K*ϕ_Raoults*P_T)/γ_Raoults

Define K value and it's relation with relative volatility (α).

The K value or vapour-liquid distribution ratio of a component is the ratio of vapour mole fraction of that component to the liquid mole fraction of that component. A K value for a more volatile component is larger than a K value for a less volatile component. That means that α (relative volatility) ≥ 1 since the larger K value of the more volatile component is in the numerator and the smaller K of the less volatile component is in the denominator.

What are the Limitations of Henry Law?

Henry law is only applicable when the molecules of the system are in a state of equilibrium. The second limitation is that it does not hold true when gases are placed under extremely high pressure. The third limitation that it is not applicable when the gas and the solution participate in chemical reactions with each other.

How to Calculate Saturated Pressure of Component using K-value Expression for Gamma-Phi Formulation?

Saturated Pressure of Component using K-value Expression for Gamma-Phi Formulation calculator uses Saturated Pressure in Gamma-Phi Formulation = (K value*Fugacity Coefficient in Raoults Law*Total Pressure of Gas)/Activity Coefficient in Raoults Law to calculate the Saturated Pressure in Gamma-Phi Formulation, Saturated Pressure of Component using K-value Expression for Gamma-Phi Formulation formula is defined as ratio of product of K-value of that component, fugacity coefficient of that component and pressure to activity coefficient of that component. Saturated Pressure in Gamma-Phi Formulation is denoted by P_sat symbol.

How to calculate Saturated Pressure of Component using K-value Expression for Gamma-Phi Formulation using this online calculator? To use this online calculator for Saturated Pressure of Component using K-value Expression for Gamma-Phi Formulation, enter K value (K), Fugacity Coefficient in Raoults Law (ϕ_Raoults), Total Pressure of Gas (P_T) & Activity Coefficient in Raoults Law (γ_Raoults) and hit the calculate button. Here is how the Saturated Pressure of Component using K-value Expression for Gamma-Phi Formulation calculation can be explained with given input values -> 56916.94 = (0.85*0.2*102100)/0.9.

FAQ

What is Saturated Pressure of Component using K-value Expression for Gamma-Phi Formulation?

Saturated Pressure of Component using K-value Expression for Gamma-Phi Formulation formula is defined as ratio of product of K-value of that component, fugacity coefficient of that component and pressure to activity coefficient of that component and is represented as P_sat = (K*ϕ_Raoults*P_T)/γ_Raoults or Saturated Pressure in Gamma-Phi Formulation = (K value*Fugacity Coefficient in Raoults Law*Total Pressure of Gas)/Activity Coefficient in Raoults Law. K value is defined as the ratio of vapor-phase mole fraction to the liquid phase mole fraction, Fugacity Coefficient in Raoults Law is the ratio of fugacity to the pressure of that component, Total pressure of Gas is the sum of all the forces that the gas molecules exert on the walls of their container & Activity Coefficient in Raoults Law is a factor used in thermodynamics to account for deviations from ideal behaviour in a mixture of chemical substances.

How to calculate Saturated Pressure of Component using K-value Expression for Gamma-Phi Formulation?

Saturated Pressure of Component using K-value Expression for Gamma-Phi Formulation formula is defined as ratio of product of K-value of that component, fugacity coefficient of that component and pressure to activity coefficient of that component is calculated using Saturated Pressure in Gamma-Phi Formulation = (K value*Fugacity Coefficient in Raoults Law*Total Pressure of Gas)/Activity Coefficient in Raoults Law. To calculate Saturated Pressure of Component using K-value Expression for Gamma-Phi Formulation, you need K value (K), Fugacity Coefficient in Raoults Law (ϕ_Raoults), Total Pressure of Gas (P_T) & Activity Coefficient in Raoults Law (γ_Raoults). With our tool, you need to enter the respective value for K value, Fugacity Coefficient in Raoults Law, Total Pressure of Gas & Activity Coefficient in Raoults Law and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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