FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Activity Coefficient of Component 1 using Van Laar Equation Formula

GoActivity Coefficient of Component 1 using Margules One Parameter Equation Formula

GoActivity Coefficient of Component 1 using Margules Two-Parameter Equation Formula

Fx Copy

LaTeX Copy

Activity Coefficient of Component 1 is a factor used in thermodynamics to account for deviations from ideal behaviour in a mixture of chemical substances. Check FAQs

γ 1 = \exp (A' 12 \cdot ({(1 + (\frac{A' 12 \cdot x 1}{A' 21 \cdot x 2}))}^{- 2}))

γ₁ - Activity Coefficient of Component 1?A'₁₂ - Van Laar Equation Coefficient (A'12)?x₁ - Mole Fraction of Component 1 in Liquid Phase?A'₂₁ - Van Laar Equation Coefficient (A'21)?x₂ - Mole Fraction of Component 2 in Liquid Phase?

Activity Coefficient of Component 1 using Van Laar Equation Example

With values

With units

Only example

Here is how the Activity Coefficient of Component 1 using Van Laar Equation equation looks like with Values.

Here is how the Activity Coefficient of Component 1 using Van Laar Equation equation looks like with Units.

Here is how the Activity Coefficient of Component 1 using Van Laar Equation equation looks like.

1.2327 = \exp (0.55 \cdot ({(1 + (\frac{0.55 \cdot 0.4}{0.59 \cdot 0.6}))}^{- 2}))

1.2327 = \exp (0.55 \cdot ({(1 + (\frac{0.55 \cdot 0.4}{0.59 \cdot 0.6}))}^{- 2}))

1.2327 = \exp (0.55 \cdot ({(1 + (\frac{0.55 \cdot 0.4}{0.59 \cdot 0.6}))}^{- 2}))

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Chemical Engineering » Category

Thermodynamics » fx Activity Coefficient of Component 1 using Van Laar Equation

Activity Coefficient of Component 1 using Van Laar Equation Solution

Follow our step by step solution on how to calculate Activity Coefficient of Component 1 using Van Laar Equation?

FIRST Step Consider the formula

γ 1 = \exp (A' 12 \cdot ({(1 + (\frac{A' 12 \cdot x 1}{A' 21 \cdot x 2}))}^{- 2}))

Next Step Substitute values of Variables

∴

γ 1 = \exp (0.55 \cdot ({(1 + (\frac{0.55 \cdot 0.4}{0.59 \cdot 0.6}))}^{- 2}))

Next Step Prepare to Evaluate

∴

γ 1 = \exp (0.55 \cdot ({(1 + (\frac{0.55 \cdot 0.4}{0.59 \cdot 0.6}))}^{- 2}))

Next Step Evaluate

∴

γ 1 = 1.23268186247763

LAST Step Rounding Answer

∴

γ 1 = 1.2327

Activity Coefficient of Component 1 using Van Laar Equation Formula Elements

Variables

Functions

Activity Coefficient of Component 1

Activity Coefficient of Component 1 is a factor used in thermodynamics to account for deviations from ideal behaviour in a mixture of chemical substances.

Symbol: γ₁

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Activity Coefficient of Component 1

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.

Symbol: A'₁₂

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Van Laar Equation Coefficient (A'12)

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.

Symbol: x₁

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Mole Fraction of Component 1 in Liquid Phase

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.

Symbol: A'₂₁

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Van Laar Equation Coefficient (A'21)

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.

Symbol: x₂

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Mole Fraction of Component 2 in Liquid Phase

exp

n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable.

Syntax: exp(Number)

Other Formulas to find Activity Coefficient of Component 1

Go Activity Coefficient of Component 1 using Margules One Parameter Equation

γ 1 = \exp (A 0 \cdot ({x 2}^{2}))

Go Activity Coefficient of Component 1 using Margules Two-Parameter Equation

γ 1 = \exp (({x 2}^{2}) \cdot (A 12 + 2 \cdot (A 21 - A 12) \cdot x 1))

Other formulas in Correlations for Liquid Phase Activity Coefficients category

Go Activity Coefficient of Component 2 using Margules One Parameter Equation

γ 2 = \exp (A 0 \cdot ({x 1}^{2}))

Go Activity Coefficient of Component 2 using Margules Two-Parameter Equation

γ 2 = \exp (({x 1}^{2}) \cdot (A 21 + 2 \cdot (A 12 - A 21) \cdot x 2))

Go Activity Coefficient of Component 2 using Van Laar Equation

γ 2 = \exp (A' 21 \cdot ({(1 + (\frac{A' 21 \cdot x 2}{A' 12 \cdot x 1}))}^{- 2}))

Go Excess Gibbs Free Energy using Margules Two-Parameter Equation

G E = ([R] \cdot T activity coefficent \cdot x 1 \cdot x 2) \cdot (A 21 \cdot x 1 + A 12 \cdot x 2)

How to Evaluate Activity Coefficient of Component 1 using Van Laar Equation?

Activity Coefficient of Component 1 using Van Laar Equation evaluator uses 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))) to evaluate the Activity Coefficient of Component 1, The Activity Coefficient of Component 1 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 1 is denoted by γ₁ symbol.

How to evaluate Activity Coefficient of Component 1 using Van Laar Equation using this online evaluator? To use this online evaluator for Activity Coefficient of Component 1 using Van Laar Equation, enter Van Laar Equation Coefficient (A'12) (A'₁₂), Mole Fraction of Component 1 in Liquid Phase (x₁), Van Laar Equation Coefficient (A'21) (A'₂₁) & Mole Fraction of Component 2 in Liquid Phase (x₂) and hit the calculate button.

FAQs on Activity Coefficient of Component 1 using Van Laar Equation

What is the formula to find Activity Coefficient of Component 1 using Van Laar Equation?

The formula of Activity Coefficient of Component 1 using Van Laar Equation is expressed as 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))). Here is an example- 1.232682 = exp(0.55*((1+((0.55*0.4)/(0.59*0.6)))^(-2))).

How to calculate Activity Coefficient of Component 1 using Van Laar Equation?

With Van Laar Equation Coefficient (A'12) (A'₁₂), Mole Fraction of Component 1 in Liquid Phase (x₁), Van Laar Equation Coefficient (A'21) (A'₂₁) & Mole Fraction of Component 2 in Liquid Phase (x₂) we can find Activity Coefficient of Component 1 using Van Laar Equation using the formula - 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))). This formula also uses Exponential Growth (exp) function(s).

What are the other ways to Calculate Activity Coefficient of Component 1?

Here are the different ways to Calculate Activity Coefficient of Component 1-

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

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Activity Coefficient of Component 1 using Van Laar Equation Formula

​GoActivity Coefficient of Component 1 using Margules One Parameter Equation Formula

​GoActivity Coefficient of Component 1 using Margules Two-Parameter Equation Formula

Activity Coefficient of Component 1 using Van Laar Equation Example

Activity Coefficient of Component 1 using Van Laar Equation Solution

Activity Coefficient of Component 1 using Van Laar Equation Formula Elements

Other Formulas to find Activity Coefficient of Component 1

Other formulas in Correlations for Liquid Phase Activity Coefficients category

How to Evaluate Activity Coefficient of Component 1 using Van Laar Equation?

FAQs on Activity Coefficient of Component 1 using Van Laar Equation

Variable Name

GoActivity Coefficient of Component 1 using Margules One Parameter Equation Formula

GoActivity Coefficient of Component 1 using Margules Two-Parameter Equation Formula