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Activity Coefficient 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%
✖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 in Gamma-Phi Formulation [P_sat]			+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 of Component using K-Value Expression for Gamma-Phi Formulation [γ_Raoults]

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.

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
Saturated Pressure in Gamma-Phi Formulation: 30 Pascal --> 30 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

γ_Raoults = (K*ϕ_Raoults*P_T)/P_sat --> (0.85*0.2*102100)/30

Evaluating ... ...

γ_Raoults = 578.566666666667

STEP 3: Convert Result to Output's Unit

578.566666666667 --> No Conversion Required

FINAL ANSWER

578.566666666667 ≈ 578.5667 <-- Activity Coefficient in Raoults Law

(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

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

LaTeX Go

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

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

Activity Coefficient of Component using K-Value Expression for Gamma-Phi Formulation calculator uses Activity Coefficient in Raoults Law = (K value*Fugacity Coefficient in Raoults Law*Total Pressure of Gas)/Saturated Pressure in Gamma-Phi Formulation to calculate the Activity Coefficient in Raoults Law, Activity Coefficient 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 saturated pressure of that component. Activity Coefficient in Raoults Law is denoted by γ_Raoults symbol.

How to calculate Activity Coefficient of Component using K-Value Expression for Gamma-Phi Formulation using this online calculator? To use this online calculator for Activity Coefficient 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) & Saturated Pressure in Gamma-Phi Formulation (P_sat) and hit the calculate button. Here is how the Activity Coefficient of Component using K-Value Expression for Gamma-Phi Formulation calculation can be explained with given input values -> 1707.508 = (0.85*0.2*102100)/30.

FAQ

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

Activity Coefficient 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 saturated pressure of that component and is represented as γ_Raoults = (K*ϕ_Raoults*P_T)/P_sat or Activity Coefficient in Raoults Law = (K value*Fugacity Coefficient in Raoults Law*Total Pressure of Gas)/Saturated Pressure in Gamma-Phi Formulation. 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 & 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.

How to calculate Activity Coefficient of Component using K-Value Expression for Gamma-Phi Formulation?

Activity Coefficient 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 saturated pressure of that component is calculated using Activity Coefficient in Raoults Law = (K value*Fugacity Coefficient in Raoults Law*Total Pressure of Gas)/Saturated Pressure in Gamma-Phi Formulation. To calculate Activity Coefficient 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) & Saturated Pressure in Gamma-Phi Formulation (P_sat). With our tool, you need to enter the respective value for K value, Fugacity Coefficient in Raoults Law, Total Pressure of Gas & Saturated Pressure in Gamma-Phi Formulation 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 Activity Coefficient in Raoults Law?

In this formula, Activity Coefficient in Raoults Law uses K value, Fugacity Coefficient in Raoults Law, Total Pressure of Gas & Saturated Pressure in Gamma-Phi Formulation. We can use 1 other way(s) to calculate the same, which is/are as follows -

Activity Coefficient in Raoults Law = (K value*Total Pressure of Gas)/Saturated Pressure in Raoults Law

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