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K-Value of Component using 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

✖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 in Gamma-Phi Formulation [P_sat]			+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%

✖K value is defined as the ratio of vapor-phase mole fraction to the liquid phase mole fraction.ⓘ K-Value of Component using Gamma-Phi Formulation [K]

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K-Value of Component using Gamma-Phi Formulation Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

K value - K value is defined as the ratio of vapor-phase mole fraction to the liquid phase mole fraction.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Activity Coefficient in Raoults Law: 0.9 --> No Conversion Required
Saturated Pressure in Gamma-Phi Formulation: 30 Pascal --> 30 Pascal No Conversion Required
Fugacity Coefficient in Raoults Law: 0.2 --> No Conversion Required
Total Pressure of Gas: 102100 Pascal --> 102100 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K = (γ_Raoults*P_sat)/(ϕ_Raoults*P_T) --> (0.9*30)/(0.2*102100)

Evaluating ... ...

K = 0.00132223310479922

STEP 3: Convert Result to Output's Unit

0.00132223310479922 --> No Conversion Required

FINAL ANSWER

0.00132223310479922 ≈ 0.001322 <-- K value

(Calculation completed in 00.004 seconds)

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Created by Shivam Sinha

National Institute Of Technology (NIT), Surathkal

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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

K-Value of Component using Gamma-Phi Formulation Formula

LaTeX Go

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

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 K-Value of Component using Gamma-Phi Formulation?

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

How to calculate K-Value of Component using Gamma-Phi Formulation using this online calculator? To use this online calculator for K-Value of Component using Gamma-Phi Formulation, enter Activity Coefficient in Raoults Law (γ_Raoults), Saturated Pressure in Gamma-Phi Formulation (P_sat), Fugacity Coefficient in Raoults Law (ϕ_Raoults) & Total Pressure of Gas (P_T) and hit the calculate button. Here is how the K-Value of Component using Gamma-Phi Formulation calculation can be explained with given input values -> 0.000448 = (0.9*30)/(0.2*102100).

FAQ

What is K-Value of Component using Gamma-Phi Formulation?

The K-Value of Component using Gamma-Phi Formulation formula is defined as the ratio of the product of activity coefficient of that component and saturated pressure of that component to the product of the fugacity coefficient of that component and pressure and is represented as K = (γ_Raoults*P_sat)/(ϕ_Raoults*P_T) or K value = (Activity Coefficient in Raoults Law*Saturated Pressure in Gamma-Phi Formulation)/(Fugacity Coefficient in Raoults Law*Total Pressure of Gas). Activity Coefficient in Raoults Law is a factor used in thermodynamics to account for deviations from ideal behaviour in a mixture of chemical substances, 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, 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.

How to calculate K-Value of Component using Gamma-Phi Formulation?

The K-Value of Component using Gamma-Phi Formulation formula is defined as the ratio of the product of activity coefficient of that component and saturated pressure of that component to the product of the fugacity coefficient of that component and pressure is calculated using K value = (Activity Coefficient in Raoults Law*Saturated Pressure in Gamma-Phi Formulation)/(Fugacity Coefficient in Raoults Law*Total Pressure of Gas). To calculate K-Value of Component using Gamma-Phi Formulation, you need Activity Coefficient in Raoults Law (γ_Raoults), Saturated Pressure in Gamma-Phi Formulation (P_sat), Fugacity Coefficient in Raoults Law (ϕ_Raoults) & Total Pressure of Gas (P_T). With our tool, you need to enter the respective value for Activity Coefficient in Raoults Law, Saturated Pressure in Gamma-Phi Formulation, Fugacity Coefficient in Raoults Law & Total Pressure of Gas 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 K value?

In this formula, K value uses Activity Coefficient in Raoults Law, Saturated Pressure in Gamma-Phi Formulation, Fugacity Coefficient in Raoults Law & Total Pressure of Gas. We can use 3 other way(s) to calculate the same, which is/are as follows -

K value = Mole Fraction of Component in Vapor Phase/Mole Fraction of Component in Liquid Phase
K value = Saturated Pressure in Raoults Law/Total Pressure of Gas
K value = (Activity Coefficient in Raoults Law*Saturated Pressure in Raoults Law)/Total Pressure of Gas

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