Activity Coefficient of Component 2 using Van Laar Equation Calculator

✖The Van Laar Equation Coefficient (A'21) is the coefficient used in the van Laar equation for component 2 in the binary system.ⓘ Van Laar Equation Coefficient (A'21) [A'₂₁]			+10% -10%
✖The mole fraction of component 2 in liquid phase can be defined as the ratio of the number of moles a component 2 to the total number of moles of components present in the liquid phase.ⓘ Mole Fraction of Component 2 in Liquid Phase [x₂]			+10% -10%
✖The Van Laar equation coefficient (A'12) is the coefficient used in the van Laar equation for component 1 in the binary system.ⓘ Van Laar Equation Coefficient (A'12) [A'₁₂]			+10% -10%
✖The mole fraction of component 1 in liquid phase can be defined as the ratio of the number of moles a component 1 to the total number of moles of components present in the liquid phase.ⓘ Mole Fraction of Component 1 in Liquid Phase [x₁]			+10% -10%

✖Activity coefficient of component 2 is a factor used in thermodynamics to account for deviations from ideal behaviour in a mixture of chemical substances.ⓘ Activity Coefficient of Component 2 using Van Laar Equation [γ₂]

⎘ Copy

👎

Formula

✖

Activity Coefficient of Component 2 using Van Laar Equation

Formula

`"γ"_{"2"} = exp("A'"_{"21"}*((1+(("A'"_{"21"}*"x"_{"2"})/("A'"_{"12"}*"x"_{"1"})))^(-2)))`

Example

`"1.090538"=exp("0.59"*((1+(("0.59"*"0.6")/("0.55"*"0.4")))^(-2)))`

Calculator

LaTeX

Reset

👍

Download Chemical Engineering Formula PDF

Activity Coefficient of Component 2 using Van Laar Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Activity Coefficient of Component 2 = exp(Van Laar Equation Coefficient (A'21)*((1+((Van Laar Equation Coefficient (A'21)*Mole Fraction of Component 2 in Liquid Phase)/(Van Laar Equation Coefficient (A'12)*Mole Fraction of Component 1 in Liquid Phase)))^(-2)))
γ₂ = exp(A'₂₁*((1+((A'₂₁*x₂)/(A'₁₂*x₁)))^(-2)))
This formula uses 1 Functions, 5 Variables

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

Activity Coefficient of Component 2 - Activity coefficient of component 2 is a factor used in thermodynamics to account for deviations from ideal behaviour in a mixture of chemical substances.
Van Laar Equation Coefficient (A'21) - The Van Laar Equation Coefficient (A'21) is the coefficient used in the van Laar equation for component 2 in the binary system.
Mole Fraction of Component 2 in Liquid Phase - The mole fraction of component 2 in liquid phase can be defined as the ratio of the number of moles a component 2 to the total number of moles of components present in the liquid phase.
Van Laar Equation Coefficient (A'12) - The Van Laar equation coefficient (A'12) is the coefficient used in the van Laar equation for component 1 in the binary system.
Mole Fraction of Component 1 in Liquid Phase - The mole fraction of component 1 in liquid phase can be defined as the ratio of the number of moles a component 1 to the total number of moles of components present in the liquid phase.

STEP 1: Convert Input(s) to Base Unit

Van Laar Equation Coefficient (A'21): 0.59 --> No Conversion Required
Mole Fraction of Component 2 in Liquid Phase: 0.6 --> No Conversion Required
Van Laar Equation Coefficient (A'12): 0.55 --> No Conversion Required
Mole Fraction of Component 1 in Liquid Phase: 0.4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

γ₂ = exp(A'₂₁*((1+((A'₂₁*x₂)/(A'₁₂*x₁)))^(-2))) --> exp(0.59*((1+((0.59*0.6)/(0.55*0.4)))^(-2)))

Evaluating ... ...

γ₂ = 1.0905377860945

STEP 3: Convert Result to Output's Unit

1.0905377860945 --> No Conversion Required

FINAL ANSWER

1.0905377860945 ≈ 1.090538 <-- Activity Coefficient of Component 2

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Chemical Engineering » Thermodynamics » Phase Equilibrium » Vapor Liquid Equilibrium » Correlations for Liquid-Phase Activity Coefficients » Activity Coefficient of Component 2 using Van Laar Equation

Credits

Created by Shivam Sinha

National Institute Of Technology (NIT), Surathkal

Shivam Sinha has created this Calculator and 300+ more calculators!

Verified by Pragati Jaju

College Of Engineering (COEP), Pune

Pragati Jaju has verified this Calculator and 300+ more calculators!

< 8 Correlations for Liquid-Phase Activity Coefficients Calculators

Excess Gibbs Free Energy using Van Laar Equation

Go Excess Gibbs Free Energy = ([R]*Temperature*Mole Fraction of Component 1 in Liquid Phase*Mole Fraction of Component 2 in Liquid Phase)*((Van Laar Equation Coefficient (A'12)*Van Laar Equation Coefficient (A'21))/(Van Laar Equation Coefficient (A'12)*Mole Fraction of Component 1 in Liquid Phase+Van Laar Equation Coefficient (A'21)*Mole Fraction of Component 2 in Liquid Phase))

Excess Gibbs Free Energy using Margules Two-Parameter Equation

Go Excess Gibbs Free Energy = ([R]*Temperature*Mole Fraction of Component 1 in Liquid Phase*Mole Fraction of Component 2 in Liquid Phase)*(Margules Two Parameter Equation Coefficient (A21)*Mole Fraction of Component 1 in Liquid Phase+Margules Two Parameter Equation Coefficient (A12)*Mole Fraction of Component 2 in Liquid Phase)

Activity Coefficient of Component 1 using Margules Two-Parameter Equation

Go Activity Coefficient of Component 1 = exp((Mole Fraction of Component 2 in Liquid Phase^2)*(Margules Two Parameter Equation Coefficient (A12)+2*(Margules Two Parameter Equation Coefficient (A21)-Margules Two Parameter Equation Coefficient (A12))*Mole Fraction of Component 1 in Liquid Phase))

Activity Coefficient of Component 2 using Margules Two-Parameter Equation

Go Activity Coefficient of Component 2 = exp((Mole Fraction of Component 1 in Liquid Phase^2)*(Margules Two Parameter Equation Coefficient (A21)+2*(Margules Two Parameter Equation Coefficient (A12)-Margules Two Parameter Equation Coefficient (A21))*Mole Fraction of Component 2 in Liquid Phase))

Activity Coefficient of Component 1 using Van Laar Equation

Go Activity Coefficient of Component 1 = exp(Van Laar Equation Coefficient (A'12)*((1+((Van Laar Equation Coefficient (A'12)*Mole Fraction of Component 1 in Liquid Phase)/(Van Laar Equation Coefficient (A'21)*Mole Fraction of Component 2 in Liquid Phase)))^(-2)))

Activity Coefficient of Component 2 using Van Laar Equation

Go Activity Coefficient of Component 2 = exp(Van Laar Equation Coefficient (A'21)*((1+((Van Laar Equation Coefficient (A'21)*Mole Fraction of Component 2 in Liquid Phase)/(Van Laar Equation Coefficient (A'12)*Mole Fraction of Component 1 in Liquid Phase)))^(-2)))

Activity Coefficient of Component 1 using Margules One Parameter Equation

Go Activity Coefficient of Component 1 = exp(Margules One Parameter Equation Coefficient*(Mole Fraction of Component 2 in Liquid Phase^2))

Activity Coefficient of Component 2 using Margules One Parameter Equation

Go Activity Coefficient of Component 2 = exp(Margules One Parameter Equation Coefficient*(Mole Fraction of Component 1 in Liquid Phase^2))

< 8 Correlations for Liquid-Phase Activity Coefficients Calculators

Excess Gibbs Free Energy using Van Laar Equation

Excess Gibbs Free Energy using Margules Two-Parameter Equation

Activity Coefficient of Component 1 using Margules Two-Parameter Equation

Activity Coefficient of Component 2 using Margules Two-Parameter Equation

Activity Coefficient of Component 1 using Van Laar Equation

Activity Coefficient of Component 2 using Van Laar Equation

Activity Coefficient of Component 1 using Margules One Parameter Equation

Go Activity Coefficient of Component 1 = exp(Margules One Parameter Equation Coefficient*(Mole Fraction of Component 2 in Liquid Phase^2))

Activity Coefficient of Component 2 using Margules One Parameter Equation

Go Activity Coefficient of Component 2 = exp(Margules One Parameter Equation Coefficient*(Mole Fraction of Component 1 in Liquid Phase^2))

Activity Coefficient of Component 2 using Van Laar Equation Formula

Give Information on Van Laar Equation Model.

The van Laar equation is a thermodynamic activity model, which was developed by Johannes van Laar in 1910-1913, to describe phase equilibria of liquid mixtures. The equation was derived from the Van der Waals equation. The original van der Waals parameters didn't give good description of vapor-liquid equilibria of phases, which forced the user to fit the parameters to experimental results. Because of this, the model lost the connection to molecular properties, and therefore it has to be regarded as an empirical model to correlate experimental results.

Define Activity Coefficient.

An activity coefficient is a factor used in thermodynamics to account for deviations from ideal behaviour in a mixture of chemical substances. In an ideal mixture, the microscopic interactions between each pair of chemical species are the same (or macroscopically equivalent, the enthalpy change of solution and volume variation in mixing is zero) and, as a result, properties of the mixtures can be expressed directly in terms of simple concentrations or partial pressures of the substances present e.g. Raoult's law. Deviations from ideality are accommodated by modifying the concentration by an activity coefficient. Analogously, expressions involving gases can be adjusted for non-ideality by scaling partial pressures by a fugacity coefficient.

How to Calculate Activity Coefficient of Component 2 using Van Laar Equation?

Activity Coefficient of Component 2 using Van Laar Equation calculator uses Activity Coefficient of Component 2 = exp(Van Laar Equation Coefficient (A'21)*((1+((Van Laar Equation Coefficient (A'21)*Mole Fraction of Component 2 in Liquid Phase)/(Van Laar Equation Coefficient (A'12)*Mole Fraction of Component 1 in Liquid Phase)))^(-2))) to calculate the Activity Coefficient of Component 2, The Activity Coefficient of Component 2 using Van Laar Equation formula is defined as the function of van Laar coefficients A'12 and A'21 and the mole fraction of both components 1 and 2. Activity Coefficient of Component 2 is denoted by γ₂ symbol.

How to calculate Activity Coefficient of Component 2 using Van Laar Equation using this online calculator? To use this online calculator for Activity Coefficient of Component 2 using Van Laar Equation, enter Van Laar Equation Coefficient (A'21) (A'₂₁), Mole Fraction of Component 2 in Liquid Phase (x₂), Van Laar Equation Coefficient (A'12) (A'₁₂) & Mole Fraction of Component 1 in Liquid Phase (x₁) and hit the calculate button. Here is how the Activity Coefficient of Component 2 using Van Laar Equation calculation can be explained with given input values -> 1.090538 = exp(0.59*((1+((0.59*0.6)/(0.55*0.4)))^(-2))).

FAQ

What is Activity Coefficient of Component 2 using Van Laar Equation?

The Activity Coefficient of Component 2 using Van Laar Equation formula is defined as the function of van Laar coefficients A'12 and A'21 and the mole fraction of both components 1 and 2 and is represented as γ₂ = exp(A'₂₁*((1+((A'₂₁*x₂)/(A'₁₂*x₁)))^(-2))) or Activity Coefficient of Component 2 = exp(Van Laar Equation Coefficient (A'21)*((1+((Van Laar Equation Coefficient (A'21)*Mole Fraction of Component 2 in Liquid Phase)/(Van Laar Equation Coefficient (A'12)*Mole Fraction of Component 1 in Liquid Phase)))^(-2))). The Van Laar Equation Coefficient (A'21) is the coefficient used in the van Laar equation for component 2 in the binary system, The mole fraction of component 2 in liquid phase can be defined as the ratio of the number of moles a component 2 to the total number of moles of components present in the liquid phase, The Van Laar equation coefficient (A'12) is the coefficient used in the van Laar equation for component 1 in the binary system & The mole fraction of component 1 in liquid phase can be defined as the ratio of the number of moles a component 1 to the total number of moles of components present in the liquid phase.

How to calculate Activity Coefficient of Component 2 using Van Laar Equation?

The Activity Coefficient of Component 2 using Van Laar Equation formula is defined as the function of van Laar coefficients A'12 and A'21 and the mole fraction of both components 1 and 2 is calculated using Activity Coefficient of Component 2 = exp(Van Laar Equation Coefficient (A'21)*((1+((Van Laar Equation Coefficient (A'21)*Mole Fraction of Component 2 in Liquid Phase)/(Van Laar Equation Coefficient (A'12)*Mole Fraction of Component 1 in Liquid Phase)))^(-2))). To calculate Activity Coefficient of Component 2 using Van Laar Equation, you need Van Laar Equation Coefficient (A'21) (A'₂₁), Mole Fraction of Component 2 in Liquid Phase (x₂), Van Laar Equation Coefficient (A'12) (A'₁₂) & Mole Fraction of Component 1 in Liquid Phase (x₁). With our tool, you need to enter the respective value for Van Laar Equation Coefficient (A'21), Mole Fraction of Component 2 in Liquid Phase, Van Laar Equation Coefficient (A'12) & Mole Fraction of Component 1 in Liquid Phase 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 of Component 2?

In this formula, Activity Coefficient of Component 2 uses Van Laar Equation Coefficient (A'21), Mole Fraction of Component 2 in Liquid Phase, Van Laar Equation Coefficient (A'12) & Mole Fraction of Component 1 in Liquid Phase. We can use 4 other way(s) to calculate the same, which is/are as follows -

Activity Coefficient of Component 2 = exp(Margules One Parameter Equation Coefficient*(Mole Fraction of Component 1 in Liquid Phase^2))
Activity Coefficient of Component 2 = exp((Mole Fraction of Component 1 in Liquid Phase^2)*(Margules Two Parameter Equation Coefficient (A21)+2*(Margules Two Parameter Equation Coefficient (A12)-Margules Two Parameter Equation Coefficient (A21))*Mole Fraction of Component 2 in Liquid Phase))
Activity Coefficient of Component 2 = exp(Margules One Parameter Equation Coefficient*(Mole Fraction of Component 1 in Liquid Phase^2))
Activity Coefficient of Component 2 = exp((Mole Fraction of Component 1 in Liquid Phase^2)*(Margules Two Parameter Equation Coefficient (A21)+2*(Margules Two Parameter Equation Coefficient (A12)-Margules Two Parameter Equation Coefficient (A21))*Mole Fraction of Component 2 in Liquid Phase))

Home

FREE PDFs

🔍 Search