Ideal Solution Volume 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 volume of component 1 is the volume of component 1 in an ideal solution condition.ⓘ Ideal Solution Volume of Component 1 [V2^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 volume of component 2 is the volume of component 2 in an ideal solution condition.ⓘ Ideal Solution Volume of Component 2 [V2^id]			+10% -10%

✖Ideal solution volume is the volume in an ideal solution condition.ⓘ Ideal Solution Volume using Ideal Solution Model in Binary System [V^id]

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Ideal Solution Volume using Ideal Solution Model in Binary System

Formula

`"V"^{"id"} = "x"_{"1"}*"V2"^{"id"}+"x"_{"2"}*"V2"^{"id"}`

Example

`"81.6m³"="0.4"*"87m³"+"0.6"*"78m³"`

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Ideal Solution Volume using Ideal Solution Model in Binary System Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
V^id = x₁*V2^id+x₂*V2^id
This formula uses 5 Variables

Variables Used

Ideal Solution Volume - (Measured in Cubic Meter) - Ideal solution volume is the volume 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 Volume of Component 1 - (Measured in Cubic Meter) - Ideal solution volume of component 1 is the volume 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 Volume of Component 2 - (Measured in Cubic Meter) - Ideal solution volume of component 2 is the volume of component 2 in an ideal solution condition.

STEP 1: Convert Input(s) to Base Unit

Mole Fraction of Component 1 in Liquid Phase: 0.4 --> No Conversion Required
Ideal Solution Volume of Component 1: 87 Cubic Meter --> 87 Cubic Meter No Conversion Required
Mole Fraction of Component 2 in Liquid Phase: 0.6 --> No Conversion Required
Ideal Solution Volume of Component 2: 78 Cubic Meter --> 78 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V^id = x₁*V2^id+x₂*V2^id --> 0.4*87+0.6*78

Evaluating ... ...

V^id = 81.6

STEP 3: Convert Result to Output's Unit

81.6 Cubic Meter --> No Conversion Required

FINAL ANSWER

81.6 Cubic Meter <-- Ideal Solution Volume

(Calculation completed in 00.020 seconds)

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< 4 Ideal Solution Model Calculators

Ideal Solution Gibbs Energy using Ideal Solution Model in Binary System

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

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

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

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 Volume using Ideal Solution Model in Binary System Formula

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 Volume using Ideal Solution Model in Binary System?

Ideal Solution Volume using Ideal Solution Model in Binary System calculator uses 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 to calculate the Ideal Solution Volume, The Ideal Solution Volume using Ideal Solution Model in Binary System formula is defined as the function of ideal solution volume of both components and mole fraction of both components in liquid phase in the binary system. Ideal Solution Volume is denoted by V^id symbol.

How to calculate Ideal Solution Volume using Ideal Solution Model in Binary System using this online calculator? To use this online calculator for Ideal Solution Volume using Ideal Solution Model in Binary System, enter Mole Fraction of Component 1 in Liquid Phase (x₁), Ideal Solution Volume of Component 1 (V2^id), Mole Fraction of Component 2 in Liquid Phase (x₂) & Ideal Solution Volume of Component 2 (V2^id) and hit the calculate button. Here is how the Ideal Solution Volume using Ideal Solution Model in Binary System calculation can be explained with given input values -> 81.6 = 0.4*87+0.6*78.

FAQ

What is Ideal Solution Volume using Ideal Solution Model in Binary System?

The Ideal Solution Volume using Ideal Solution Model in Binary System formula is defined as the function of ideal solution volume of both components and mole fraction of both components in liquid phase in the binary system and is represented as V^id = x₁*V2^id+x₂*V2^id or 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. 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 volume of component 1 is the volume 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 volume of component 2 is the volume of component 2 in an ideal solution condition.

How to calculate Ideal Solution Volume using Ideal Solution Model in Binary System?

The Ideal Solution Volume using Ideal Solution Model in Binary System formula is defined as the function of ideal solution volume of both components and mole fraction of both components in liquid phase in the binary system is calculated using 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. To calculate Ideal Solution Volume using Ideal Solution Model in Binary System, you need Mole Fraction of Component 1 in Liquid Phase (x₁), Ideal Solution Volume of Component 1 (V2^id), Mole Fraction of Component 2 in Liquid Phase (x₂) & Ideal Solution Volume of Component 2 (V2^id). With our tool, you need to enter the respective value for 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 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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