FormulaDen.com

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

Excess Gibbs Free Energy using Van Laar Equation Formula

GoExcess Gibbs Free Energy using Margules Two-Parameter Equation Formula

Fx Copy

LaTeX Copy

Excess Gibbs Free Energy is the Gibbs energy of a solution in excess of what it would be if it were ideal. Check FAQs

G E = ([R] \cdot T activity coefficent \cdot x 1 \cdot x 2) \cdot (\frac{A' 12 \cdot A' 21}{A' 12 \cdot x 1 + A' 21 \cdot x 2})

G^E - Excess Gibbs Free Energy?T_{activity coefficent} - Temperature?x₁ - Mole Fraction of Component 1 in Liquid Phase?x₂ - Mole Fraction of Component 2 in Liquid Phase?A'₁₂ - Van Laar Equation Coefficient (A'12)?A'₂₁ - Van Laar Equation Coefficient (A'21)?[R] - Universal gas constant?

Excess Gibbs Free Energy using Van Laar Equation Example

With values

With units

Only example

Here is how the Excess Gibbs Free Energy using Van Laar Equation equation looks like with Values.

Here is how the Excess Gibbs Free Energy using Van Laar Equation equation looks like with Units.

Here is how the Excess Gibbs Free Energy using Van Laar Equation equation looks like.

733.2661 = (8.3145 \cdot 650 \cdot 0.4 \cdot 0.6) \cdot (\frac{0.55 \cdot 0.59}{0.55 \cdot 0.4 + 0.59 \cdot 0.6})

733.2661J = (8.3145 \cdot 650K \cdot 0.4 \cdot 0.6) \cdot (\frac{0.55 \cdot 0.59}{0.55 \cdot 0.4 + 0.59 \cdot 0.6})

733.2661 = (8.3145 \cdot 650 \cdot 0.4 \cdot 0.6) \cdot (\frac{0.55 \cdot 0.59}{0.55 \cdot 0.4 + 0.59 \cdot 0.6})

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 Excess Gibbs Free Energy using Van Laar Equation

Excess Gibbs Free Energy using Van Laar Equation Solution

Follow our step by step solution on how to calculate Excess Gibbs Free Energy using Van Laar Equation?

FIRST Step Consider the formula

G E = ([R] \cdot T activity coefficent \cdot x 1 \cdot x 2) \cdot (\frac{A' 12 \cdot A' 21}{A' 12 \cdot x 1 + A' 21 \cdot x 2})

Next Step Substitute values of Variables

∴

G E = ([R] \cdot 650K \cdot 0.4 \cdot 0.6) \cdot (\frac{0.55 \cdot 0.59}{0.55 \cdot 0.4 + 0.59 \cdot 0.6})

Next Step Substitute values of Constants

∴

G E = (8.3145 \cdot 650K \cdot 0.4 \cdot 0.6) \cdot (\frac{0.55 \cdot 0.59}{0.55 \cdot 0.4 + 0.59 \cdot 0.6})

Next Step Prepare to Evaluate

∴

G E = (8.3145 \cdot 650 \cdot 0.4 \cdot 0.6) \cdot (\frac{0.55 \cdot 0.59}{0.55 \cdot 0.4 + 0.59 \cdot 0.6})

Next Step Evaluate

∴

G E = 733.266074313856J

LAST Step Rounding Answer

∴

G E = 733.2661J

Excess Gibbs Free Energy using Van Laar Equation Formula Elements

Variables

Constants

Excess Gibbs Free Energy

Excess Gibbs Free Energy is the Gibbs energy of a solution in excess of what it would be if it were ideal.

Symbol: G^E

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Excess Gibbs Free Energy

Temperature

Temperature is the degree or intensity of heat present in a substance or object.

Symbol: T_{activity coefficent}

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Temperature

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

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

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)

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)

Universal gas constant

Universal gas constant is a fundamental physical constant that appears in the ideal gas law, relating the pressure, volume, and temperature of an ideal gas.

Symbol: [R]

Value: 8.31446261815324

Other Formulas to find Excess Gibbs Free Energy

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)

Other formulas in Correlations for Liquid Phase Activity Coefficients category

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))

Go Activity Coefficient of Component 1 using Van Laar Equation

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

Go Activity Coefficient of Component 2 using Margules One Parameter Equation

γ 2 = \exp (A 0 \cdot ({x 1}^{2}))

How to Evaluate Excess Gibbs Free Energy using Van Laar Equation?

Excess Gibbs Free Energy using Van Laar Equation evaluator uses 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)) to evaluate the Excess Gibbs Free Energy, The Excess Gibbs Free Energy using Van Laar Equation formula is defined as the function of van Laar coefficients A'12 and A'21, temperature and the mole fraction of both the components 1 and 2. Excess Gibbs Free Energy is denoted by G^E symbol.

How to evaluate Excess Gibbs Free Energy using Van Laar Equation using this online evaluator? To use this online evaluator for Excess Gibbs Free Energy using Van Laar Equation, enter Temperature (T_{activity coefficent}), Mole Fraction of Component 1 in Liquid Phase (x₁), Mole Fraction of Component 2 in Liquid Phase (x₂), Van Laar Equation Coefficient (A'12) (A'₁₂) & Van Laar Equation Coefficient (A'21) (A'₂₁) and hit the calculate button.

FAQs on Excess Gibbs Free Energy using Van Laar Equation

What is the formula to find Excess Gibbs Free Energy using Van Laar Equation?

The formula of Excess Gibbs Free Energy using Van Laar Equation is expressed as 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)). Here is an example- 733.2661 = ([R]*650*0.4*0.6)*((0.55*0.59)/(0.55*0.4+0.59*0.6)).

How to calculate Excess Gibbs Free Energy using Van Laar Equation?

With Temperature (T_{activity coefficent}), Mole Fraction of Component 1 in Liquid Phase (x₁), Mole Fraction of Component 2 in Liquid Phase (x₂), Van Laar Equation Coefficient (A'12) (A'₁₂) & Van Laar Equation Coefficient (A'21) (A'₂₁) we can find Excess Gibbs Free Energy using Van Laar Equation using the formula - 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)). This formula also uses Universal gas constant .

What are the other ways to Calculate Excess Gibbs Free Energy?

Here are the different ways to Calculate Excess Gibbs Free Energy-

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)

Can the Excess Gibbs Free Energy using Van Laar Equation be negative?

Yes, the Excess Gibbs Free Energy using Van Laar Equation, measured in Energy can be negative.

Which unit is used to measure Excess Gibbs Free Energy using Van Laar Equation?

Excess Gibbs Free Energy using Van Laar Equation is usually measured using the Joule[J] for Energy. Kilojoule[J], Gigajoule[J], Megajoule[J] are the few other units in which Excess Gibbs Free Energy using Van Laar Equation can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Excess Gibbs Free Energy using Van Laar Equation Formula

​GoExcess Gibbs Free Energy using Margules Two-Parameter Equation Formula

Excess Gibbs Free Energy using Van Laar Equation Example

Excess Gibbs Free Energy using Van Laar Equation Solution

Excess Gibbs Free Energy using Van Laar Equation Formula Elements

Other Formulas to find Excess Gibbs Free Energy

Other formulas in Correlations for Liquid Phase Activity Coefficients category

How to Evaluate Excess Gibbs Free Energy using Van Laar Equation?

FAQs on Excess Gibbs Free Energy using Van Laar Equation

Variable Name

GoExcess Gibbs Free Energy using Margules Two-Parameter Equation Formula