Ideal Gas Entropy using Ideal Gas Mixture Model in Binary System Calculator

✖The mole fraction of component 1 in vapour 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 vapour phase.ⓘ Mole Fraction of Component 1 in Vapour Phase [y₁]			+10% -10%
✖Ideal Gas entropy of component 1 is the entropy of component 1 in an ideal condition.ⓘ Ideal Gas Entropy of Component 1 [S1^ig]			+10% -10%
✖The Mole Fraction of Component 2 in Vapour 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 vapour phase.ⓘ Mole Fraction of Component 2 in Vapour Phase [y₂]			+10% -10%
✖Ideal Gas entropy of component 2 is the entropy of component 2 in an ideal condition.ⓘ Ideal Gas Entropy of Component 2 [S2^ig]			+10% -10%

✖Ideal Gas entropy is the entropy in an ideal condition.ⓘ Ideal Gas Entropy using Ideal Gas Mixture Model in Binary System [S^ig]

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Ideal Gas Entropy using Ideal Gas Mixture Model in Binary System Solution

STEP 0: Pre-Calculation Summary

Formula Used

Ideal Gas Entropy = (Mole Fraction of Component 1 in Vapour Phase*Ideal Gas Entropy of Component 1+Mole Fraction of Component 2 in Vapour Phase*Ideal Gas Entropy of Component 2)-[R]*(Mole Fraction of Component 1 in Vapour Phase*ln(Mole Fraction of Component 1 in Vapour Phase)+Mole Fraction of Component 2 in Vapour Phase*ln(Mole Fraction of Component 2 in Vapour Phase))
S^ig = (y₁*S1^ig+y₂*S2^ig)-[R]*(y₁*ln(y₁)+y₂*ln(y₂))
This formula uses 1 Constants, 1 Functions, 5 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 Gas Entropy - (Measured in Joule per Kilogram K) - Ideal Gas entropy is the entropy in an ideal condition.
Mole Fraction of Component 1 in Vapour Phase - The mole fraction of component 1 in vapour 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 vapour phase.
Ideal Gas Entropy of Component 1 - (Measured in Joule per Kilogram K) - Ideal Gas entropy of component 1 is the entropy of component 1 in an ideal condition.
Mole Fraction of Component 2 in Vapour Phase - The Mole Fraction of Component 2 in Vapour 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 vapour phase.
Ideal Gas Entropy of Component 2 - (Measured in Joule per Kilogram K) - Ideal Gas entropy of component 2 is the entropy of component 2 in an ideal condition.

STEP 1: Convert Input(s) to Base Unit

Mole Fraction of Component 1 in Vapour Phase: 0.5 --> No Conversion Required
Ideal Gas Entropy of Component 1: 87 Joule per Kilogram K --> 87 Joule per Kilogram K No Conversion Required
Mole Fraction of Component 2 in Vapour Phase: 0.55 --> No Conversion Required
Ideal Gas Entropy of Component 2: 77 Joule per Kilogram K --> 77 Joule per Kilogram K No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S^ig = (y₁*S1^ig+y₂*S2^ig)-[R]*(y₁*ln(y₁)+y₂*ln(y₂)) --> (0.5*87+0.55*77)-[R]*(0.5*ln(0.5)+0.55*ln(0.55))

Evaluating ... ...

S^ig = 91.4654545278143

STEP 3: Convert Result to Output's Unit

91.4654545278143 Joule per Kilogram K --> No Conversion Required

FINAL ANSWER

91.4654545278143 ≈ 91.46545 Joule per Kilogram K <-- Ideal Gas Entropy

(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 Gas Gibbs Free Energy using Ideal Gas Mixture Model in Binary System

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

Ideal Gas Entropy using Ideal Gas Mixture Model in Binary System

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

Ideal Gas Enthalpy using Ideal Gas Mixture Model in Binary System

LaTeX Go Ideal Gas Enthalpy = Mole Fraction of Component 1 in Vapour Phase*Ideal Gas Enthalpy of Component 1+Mole Fraction of Component 2 in Vapour Phase*Ideal Gas Enthalpy of Component 2

Ideal Gas Volume using Ideal Gas Mixture Model in Binary System

LaTeX Go Ideal Gas Volume = Mole Fraction of Component 1 in Vapour Phase*Ideal Gas Volume of Component 1+Mole Fraction of Component 2 in Vapour Phase*Ideal Gas Volume of Component 2

Ideal Gas Entropy using Ideal Gas Mixture Model in Binary System Formula

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Define Ideal Gas.

An ideal gas is a theoretical gas composed of many randomly moving point particles that are not subject to interparticle interactions. The ideal gas concept is useful because it obeys the ideal gas law, a simplified equation of state, and is amenable to analysis under statistical mechanics. The requirement of zero interaction can often be relaxed if, for example, the interaction is perfectly elastic or regarded as point-like collisions. Under various conditions of temperature and pressure, many real gases behave qualitatively like an ideal gas where the gas molecules (or atoms for monatomic gas) play the role of the ideal particles.

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 Gas Entropy using Ideal Gas Mixture Model in Binary System?

Ideal Gas Entropy using Ideal Gas Mixture Model in Binary System calculator uses Ideal Gas Entropy = (Mole Fraction of Component 1 in Vapour Phase*Ideal Gas Entropy of Component 1+Mole Fraction of Component 2 in Vapour Phase*Ideal Gas Entropy of Component 2)-[R]*(Mole Fraction of Component 1 in Vapour Phase*ln(Mole Fraction of Component 1 in Vapour Phase)+Mole Fraction of Component 2 in Vapour Phase*ln(Mole Fraction of Component 2 in Vapour Phase)) to calculate the Ideal Gas Entropy, The Ideal Gas Entropy using Ideal Gas Mixture Model in Binary System formula is defined as the function of ideal gas entropy of both components and mole fraction of both components in vapour phase in the binary system. Ideal Gas Entropy is denoted by S^ig symbol.

How to calculate Ideal Gas Entropy using Ideal Gas Mixture Model in Binary System using this online calculator? To use this online calculator for Ideal Gas Entropy using Ideal Gas Mixture Model in Binary System, enter Mole Fraction of Component 1 in Vapour Phase (y₁), Ideal Gas Entropy of Component 1 (S1^ig), Mole Fraction of Component 2 in Vapour Phase (y₂) & Ideal Gas Entropy of Component 2 (S2^ig) and hit the calculate button. Here is how the Ideal Gas Entropy using Ideal Gas Mixture Model in Binary System calculation can be explained with given input values -> 91.46545 = (0.5*87+0.55*77)-[R]*(0.5*ln(0.5)+0.55*ln(0.55)).

FAQ

What is Ideal Gas Entropy using Ideal Gas Mixture Model in Binary System?

The Ideal Gas Entropy using Ideal Gas Mixture Model in Binary System formula is defined as the function of ideal gas entropy of both components and mole fraction of both components in vapour phase in the binary system and is represented as S^ig = (y₁*S1^ig+y₂*S2^ig)-[R]*(y₁*ln(y₁)+y₂*ln(y₂)) or Ideal Gas Entropy = (Mole Fraction of Component 1 in Vapour Phase*Ideal Gas Entropy of Component 1+Mole Fraction of Component 2 in Vapour Phase*Ideal Gas Entropy of Component 2)-[R]*(Mole Fraction of Component 1 in Vapour Phase*ln(Mole Fraction of Component 1 in Vapour Phase)+Mole Fraction of Component 2 in Vapour Phase*ln(Mole Fraction of Component 2 in Vapour Phase)). The mole fraction of component 1 in vapour 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 vapour phase, Ideal Gas entropy of component 1 is the entropy of component 1 in an ideal condition, The Mole Fraction of Component 2 in Vapour 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 vapour phase & Ideal Gas entropy of component 2 is the entropy of component 2 in an ideal condition.

How to calculate Ideal Gas Entropy using Ideal Gas Mixture Model in Binary System?

The Ideal Gas Entropy using Ideal Gas Mixture Model in Binary System formula is defined as the function of ideal gas entropy of both components and mole fraction of both components in vapour phase in the binary system is calculated using Ideal Gas Entropy = (Mole Fraction of Component 1 in Vapour Phase*Ideal Gas Entropy of Component 1+Mole Fraction of Component 2 in Vapour Phase*Ideal Gas Entropy of Component 2)-[R]*(Mole Fraction of Component 1 in Vapour Phase*ln(Mole Fraction of Component 1 in Vapour Phase)+Mole Fraction of Component 2 in Vapour Phase*ln(Mole Fraction of Component 2 in Vapour Phase)). To calculate Ideal Gas Entropy using Ideal Gas Mixture Model in Binary System, you need Mole Fraction of Component 1 in Vapour Phase (y₁), Ideal Gas Entropy of Component 1 (S1^ig), Mole Fraction of Component 2 in Vapour Phase (y₂) & Ideal Gas Entropy of Component 2 (S2^ig). With our tool, you need to enter the respective value for Mole Fraction of Component 1 in Vapour Phase, Ideal Gas Entropy of Component 1, Mole Fraction of Component 2 in Vapour Phase & Ideal Gas Entropy 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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