Pressure using K-Value Expression for Gamma-Phi Formulation Calculator

✖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%
✖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.ⓘ Pressure using K-Value Expression for Gamma-Phi Formulation [P_T]

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Pressure using K-Value Expression for Gamma-Phi Formulation

Formula

`"P"_{"T"} = ("γ"_{"Raoults"}*"P"_{"sat"})/("K"*"ϕ"_{"Raoults"})`

Example

`"158.8235Pa"=("0.9"*"30Pa")/("0.85"*"0.2")`

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Pressure using K-Value Expression for Gamma-Phi Formulation Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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
K value: 0.85 --> No Conversion Required
Fugacity Coefficient in Raoults Law: 0.2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_T = (γ_Raoults*P_sat)/(K*ϕ_Raoults) --> (0.9*30)/(0.85*0.2)

Evaluating ... ...

P_T = 158.823529411765

STEP 3: Convert Result to Output's Unit

158.823529411765 Pascal --> No Conversion Required

FINAL ANSWER

158.823529411765 ≈ 158.8235 Pascal <-- Total Pressure of Gas

(Calculation completed in 00.004 seconds)

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Home » Engineering » Chemical Engineering » Thermodynamics » Phase Equilibrium » Vapor Liquid Equilibrium » Raoult’s Law, Modified Raoult’s Law, and Henry’s Law in VLE » K values for Gamma/Phi formulation, Raoult’s Law, Modified Raoult’s Law, and Henry’s Law » Pressure using K-Value Expression for Gamma-Phi Formulation

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Created by Shivam Sinha

National Institute Of Technology (NIT), Surathkal

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< 18 K values for Gamma/Phi formulation, Raoult’s Law, Modified Raoult’s Law, and Henry’s Law Calculators

Vapour Phase Mole Fraction using Gamma-Phi Formulation of VLE

Go Mole Fraction of Component in Vapor Phase = (Mole Fraction of Component in Liquid Phase*Activity Coefficient*Saturated pressure)/(Fugacity Coefficient*Total Pressure of Gas)

Fugacity Coefficient using Gamma-Phi Formulation of VLE

Go Fugacity Coefficient = (Mole Fraction of Component in Liquid Phase*Activity Coefficient*Saturated pressure)/(Mole Fraction of Component in Vapor Phase*Total Pressure of Gas)

Activity Coefficient using Gamma-Phi Formulation of VLE

Go Activity Coefficient = (Mole Fraction of Component in Vapor Phase*Fugacity Coefficient*Total Pressure of Gas)/(Mole Fraction of Component in Liquid Phase*Saturated pressure)

Saturated Pressure using Gamma-Phi Formulation of VLE

Go Saturated pressure = (Mole Fraction of Component in Vapor Phase*Fugacity Coefficient*Total Pressure of Gas)/(Mole Fraction of Component in Liquid Phase*Activity Coefficient)

Total Pressure using Gamma-Phi Formulation of VLE

Go Total Pressure of Gas = (Mole Fraction of Component in Liquid Phase*Activity Coefficient*Saturated pressure)/(Mole Fraction of Component in Vapor Phase*Fugacity Coefficient)

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

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

Pressure using K-Value Expression for Gamma-Phi Formulation

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

K-Value of Component using Gamma-Phi Formulation

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

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

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

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

Saturated Pressure of Component using K-value Expression for Modified Raoult's Law

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

Activity Coefficient of Component using K-Value for Modified Raoult's Law

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

Pressure of Component using K-Value Expression for Modified Raoult's Law

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

K-Value of Component using Modified Raoult's Law

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

K-Value or Vapour-Liquid Distribution Ratio of Component

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 Raoult's Law

Go Saturated Pressure in Raoults Law = K value*Total Pressure of Gas

Pressure using K-value Expression for Raoult's Law

Go Total Pressure of Gas = Saturated Pressure in Raoults Law/K value

K-Value of Component using Raoult's Law

Go K value = Saturated Pressure in Raoults Law/Total Pressure of Gas

Pressure using K-Value Expression for Gamma-Phi Formulation Formula

Total Pressure of Gas = (Activity Coefficient in Raoults Law*Saturated Pressure in Gamma-Phi Formulation)/(K value*Fugacity Coefficient in Raoults Law)
P_T = (γ_Raoults*P_sat)/(K*ϕ_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 Pressure using K-Value Expression for Gamma-Phi Formulation?

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

How to calculate Pressure using K-Value Expression for Gamma-Phi Formulation using this online calculator? To use this online calculator for Pressure using K-Value Expression for Gamma-Phi Formulation, enter Activity Coefficient in Raoults Law (γ_Raoults), Saturated Pressure in Gamma-Phi Formulation (P_sat), K value (K) & Fugacity Coefficient in Raoults Law (ϕ_Raoults) and hit the calculate button. Here is how the Pressure using K-Value Expression for Gamma-Phi Formulation calculation can be explained with given input values -> 158.8235 = (0.9*30)/(0.85*0.2).

FAQ

What is Pressure using K-Value Expression for Gamma-Phi Formulation?

The Pressure using K-Value Expression for 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 K-value of that component and the fugacity coefficient of that component and is represented as P_T = (γ_Raoults*P_sat)/(K*ϕ_Raoults) or Total Pressure of Gas = (Activity Coefficient in Raoults Law*Saturated Pressure in Gamma-Phi Formulation)/(K value*Fugacity 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 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 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.

How to calculate Pressure using K-Value Expression for Gamma-Phi Formulation?

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

How many ways are there to calculate Total Pressure of Gas?

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

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

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