Ideal Solution Gibbs Energy using Ideal Solution Model in Binary System Calculator

✖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%
✖Ideal solution Gibbs Free Energy of component 1 is the Gibbs energy of component 1 in an ideal solution condition.ⓘ Ideal Solution Gibbs Free Energy of Component 1 [G1^id]			+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%
✖Ideal solution Gibbs Free Energy of component 2 is the Gibbs energy of component 2 in an ideal solution condition.ⓘ Ideal Solution Gibbs Free Energy of Component 2 [G2^id]			+10% -10%
✖Temperature is the degree or intensity of heat present in a substance or object.ⓘ Temperature [T]			+10% -10%

✖Ideal Solution Gibbs Free Energy is the Gibbs energy in an ideal solution condition.ⓘ Ideal Solution Gibbs Energy using Ideal Solution Model in Binary System [G^id]

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Ideal Solution Gibbs Energy using Ideal Solution Model in Binary System Solution

STEP 0: Pre-Calculation Summary

Formula Used

Ideal Solution Gibbs Free Energy = (Mole Fraction of Component 1 in Liquid Phase*Ideal Solution Gibbs Free Energy of Component 1+Mole Fraction of Component 2 in Liquid Phase*Ideal Solution Gibbs Free Energy of Component 2)+[R]*Temperature*(Mole Fraction of Component 1 in Liquid Phase*ln(Mole Fraction of Component 1 in Liquid Phase)+Mole Fraction of Component 2 in Liquid Phase*ln(Mole Fraction of Component 2 in Liquid Phase))
G^id = (x₁*G1^id+x₂*G2^id)+[R]*T*(x₁*ln(x₁)+x₂*ln(x₂))
This formula uses 1 Constants, 1 Functions, 6 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

Variables Used

Ideal Solution Gibbs Free Energy - (Measured in Joule) - Ideal Solution Gibbs Free Energy is the Gibbs energy in an ideal solution condition.
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.
Ideal Solution Gibbs Free Energy of Component 1 - (Measured in Joule) - Ideal solution Gibbs Free Energy of component 1 is the Gibbs energy of component 1 in an ideal solution condition.
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.
Ideal Solution Gibbs Free Energy of Component 2 - (Measured in Joule) - Ideal solution Gibbs Free Energy of component 2 is the Gibbs energy of component 2 in an ideal solution condition.
Temperature - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.

STEP 1: Convert Input(s) to Base Unit

Mole Fraction of Component 1 in Liquid Phase: 0.4 --> No Conversion Required
Ideal Solution Gibbs Free Energy of Component 1: 71 Joule --> 71 Joule No Conversion Required
Mole Fraction of Component 2 in Liquid Phase: 0.6 --> No Conversion Required
Ideal Solution Gibbs Free Energy of Component 2: 88 Joule --> 88 Joule No Conversion Required
Temperature: 450 Kelvin --> 450 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

G^id = (x₁*G1^id+x₂*G2^id)+[R]*T*(x₁*ln(x₁)+x₂*ln(x₂)) --> (0.4*71+0.6*88)+[R]*450*(0.4*ln(0.4)+0.6*ln(0.6))

Evaluating ... ...

G^id = -2436.87865611826

STEP 3: Convert Result to Output's Unit

-2436.87865611826 Joule --> No Conversion Required

FINAL ANSWER

-2436.87865611826 ≈ -2436.878656 Joule <-- Ideal Solution Gibbs Free Energy

(Calculation completed in 00.004 seconds)

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Created by Shivam Sinha

National Institute Of Technology (NIT), Surathkal

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Ideal Solution Gibbs Energy using Ideal Solution Model in Binary System

LaTeX Go Ideal Solution Gibbs Free Energy = (Mole Fraction of Component 1 in Liquid Phase*Ideal Solution Gibbs Free Energy of Component 1+Mole Fraction of Component 2 in Liquid Phase*Ideal Solution Gibbs Free Energy of Component 2)+[R]*Temperature*(Mole Fraction of Component 1 in Liquid Phase*ln(Mole Fraction of Component 1 in Liquid Phase)+Mole Fraction of Component 2 in Liquid Phase*ln(Mole Fraction of Component 2 in Liquid Phase))

Ideal Solution Entropy using Ideal Solution Model in Binary System

LaTeX Go Ideal Solution Entropy = (Mole Fraction of Component 1 in Liquid Phase*Ideal Solution Entropy of Component 1+Mole Fraction of Component 2 in Liquid Phase*Ideal Solution Entropy of Component 2)-[R]*(Mole Fraction of Component 1 in Liquid Phase*ln(Mole Fraction of Component 1 in Liquid Phase)+Mole Fraction of Component 2 in Liquid Phase*ln(Mole Fraction of Component 2 in Liquid Phase))

Ideal Solution Enthalpy using Ideal Solution Model in Binary System

LaTeX Go Ideal Solution Enthalpy = Mole Fraction of Component 1 in Liquid Phase*Ideal Solution Enthalpy of Component 1+Mole Fraction of Component 2 in Liquid Phase*Ideal Solution Enthalpy of Component 2

Ideal Solution Volume using Ideal Solution Model in Binary System

LaTeX Go Ideal Solution Volume = Mole Fraction of Component 1 in Liquid Phase*Ideal Solution Volume of Component 1+Mole Fraction of Component 2 in Liquid Phase*Ideal Solution Volume of Component 2

Ideal Solution Gibbs Energy using Ideal Solution Model in Binary System Formula

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Define Ideal Solution.

An ideal solution is a mixture in which the molecules of different species are distinguishable, however, unlike the ideal gas, the molecules in ideal solution exert forces on one another. When those forces are the same for all molecules independent of species then a solution is said to be ideal. If we take the simplest definition of an ideal solution, then it is described as a homogeneous solution where the interaction between molecules of components (solute and solvents) is exactly the same to the interactions between the molecules of each component itself.

What is Duhem’s Theorem?

For any closed system formed from known amounts of prescribed chemical species, the equilibrium state is completely determined when any two independent variables are fixed. The two independent variables subject to specification may in general be either intensive or extensive. However, the number of independent intensive variables is given by the phase rule. Thus when F = 1, at least one of the two variables must be extensive, and when F = 0, both must be extensive.

How to Calculate Ideal Solution Gibbs Energy using Ideal Solution Model in Binary System?

Ideal Solution Gibbs Energy using Ideal Solution Model in Binary System calculator uses Ideal Solution Gibbs Free Energy = (Mole Fraction of Component 1 in Liquid Phase*Ideal Solution Gibbs Free Energy of Component 1+Mole Fraction of Component 2 in Liquid Phase*Ideal Solution Gibbs Free Energy of Component 2)+[R]*Temperature*(Mole Fraction of Component 1 in Liquid Phase*ln(Mole Fraction of Component 1 in Liquid Phase)+Mole Fraction of Component 2 in Liquid Phase*ln(Mole Fraction of Component 2 in Liquid Phase)) to calculate the Ideal Solution Gibbs Free Energy, The Ideal Solution Gibbs Energy using Ideal Solution Model in Binary System formula is defined as the function of ideal solution Gibbs energy of both components and mole fraction of both components in liquid phase in the binary system. Ideal Solution Gibbs Free Energy is denoted by G^id symbol.

How to calculate Ideal Solution Gibbs Energy using Ideal Solution Model in Binary System using this online calculator? To use this online calculator for Ideal Solution Gibbs Energy using Ideal Solution Model in Binary System, enter Mole Fraction of Component 1 in Liquid Phase (x₁), Ideal Solution Gibbs Free Energy of Component 1 (G1^id), Mole Fraction of Component 2 in Liquid Phase (x₂), Ideal Solution Gibbs Free Energy of Component 2 (G2^id) & Temperature (T) and hit the calculate button. Here is how the Ideal Solution Gibbs Energy using Ideal Solution Model in Binary System calculation can be explained with given input values -> -2436.878656 = (0.4*71+0.6*88)+[R]*450*(0.4*ln(0.4)+0.6*ln(0.6)).

FAQ

What is Ideal Solution Gibbs Energy using Ideal Solution Model in Binary System?

The Ideal Solution Gibbs Energy using Ideal Solution Model in Binary System formula is defined as the function of ideal solution Gibbs energy of both components and mole fraction of both components in liquid phase in the binary system and is represented as G^id = (x₁*G1^id+x₂*G2^id)+[R]*T*(x₁*ln(x₁)+x₂*ln(x₂)) or Ideal Solution Gibbs Free Energy = (Mole Fraction of Component 1 in Liquid Phase*Ideal Solution Gibbs Free Energy of Component 1+Mole Fraction of Component 2 in Liquid Phase*Ideal Solution Gibbs Free Energy of Component 2)+[R]*Temperature*(Mole Fraction of Component 1 in Liquid Phase*ln(Mole Fraction of Component 1 in Liquid Phase)+Mole Fraction of Component 2 in Liquid Phase*ln(Mole Fraction of Component 2 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, Ideal solution Gibbs Free Energy of component 1 is the Gibbs energy of component 1 in an ideal solution condition, 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, Ideal solution Gibbs Free Energy of component 2 is the Gibbs energy of component 2 in an ideal solution condition & Temperature is the degree or intensity of heat present in a substance or object.

How to calculate Ideal Solution Gibbs Energy using Ideal Solution Model in Binary System?

The Ideal Solution Gibbs Energy using Ideal Solution Model in Binary System formula is defined as the function of ideal solution Gibbs energy of both components and mole fraction of both components in liquid phase in the binary system is calculated using Ideal Solution Gibbs Free Energy = (Mole Fraction of Component 1 in Liquid Phase*Ideal Solution Gibbs Free Energy of Component 1+Mole Fraction of Component 2 in Liquid Phase*Ideal Solution Gibbs Free Energy of Component 2)+[R]*Temperature*(Mole Fraction of Component 1 in Liquid Phase*ln(Mole Fraction of Component 1 in Liquid Phase)+Mole Fraction of Component 2 in Liquid Phase*ln(Mole Fraction of Component 2 in Liquid Phase)). To calculate Ideal Solution Gibbs Energy using Ideal Solution Model in Binary System, you need Mole Fraction of Component 1 in Liquid Phase (x₁), Ideal Solution Gibbs Free Energy of Component 1 (G1^id), Mole Fraction of Component 2 in Liquid Phase (x₂), Ideal Solution Gibbs Free Energy of Component 2 (G2^id) & Temperature (T). With our tool, you need to enter the respective value for Mole Fraction of Component 1 in Liquid Phase, Ideal Solution Gibbs Free Energy of Component 1, Mole Fraction of Component 2 in Liquid Phase, Ideal Solution Gibbs Free Energy of Component 2 & Temperature and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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