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

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Ideal Gas entropy is the entropy in an ideal condition. Check FAQs
Sig=(y1⋅S1ig+y2⋅S2ig)-[R]⋅(y1⋅ln(y1)+y2⋅ln(y2))
Sig - Ideal Gas Entropy?y1 - Mole Fraction of Component 1 in Vapour Phase?S1ig - Ideal Gas Entropy of Component 1?y2 - Mole Fraction of Component 2 in Vapour Phase?S2ig - Ideal Gas Entropy of Component 2?[R] - Universal gas constant?

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

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Here is how the Ideal Gas Entropy using Ideal Gas Mixture Model in Binary System equation looks like with Values.

Here is how the Ideal Gas Entropy using Ideal Gas Mixture Model in Binary System equation looks like with Units.

Here is how the Ideal Gas Entropy using Ideal Gas Mixture Model in Binary System equation looks like.

91.4655Edit=(0.5Edit⋅87Edit+0.55Edit⋅77Edit)-8.3145⋅(0.5Edit⋅ln(0.5Edit)+0.55Edit⋅ln(0.55Edit))
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Ideal Gas Entropy using Ideal Gas Mixture Model in Binary System Solution

Follow our step by step solution on how to calculate Ideal Gas Entropy using Ideal Gas Mixture Model in Binary System?

FIRST Step Consider the formula
Sig=(y1⋅S1ig+y2⋅S2ig)-[R]⋅(y1⋅ln(y1)+y2⋅ln(y2))
Next Step Substitute values of Variables
∴ Sig=(0.5⋅87J/kg*K+0.55⋅77J/kg*K)-[R]⋅(0.5⋅ln(0.5)+0.55⋅ln(0.55))
Next Step Substitute values of Constants
∴ Sig=(0.5⋅87J/kg*K+0.55⋅77J/kg*K)-8.3145⋅(0.5⋅ln(0.5)+0.55⋅ln(0.55))
Next Step Prepare to Evaluate
∴ Sig=(0.5⋅87+0.55⋅77)-8.3145⋅(0.5⋅ln(0.5)+0.55⋅ln(0.55))
Next Step Evaluate
∴Sig=91.4654545278143J/kg*K
LAST Step Rounding Answer
∴Sig=91.4655J/kg*K

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

Variables
Constants
Functions
Ideal Gas Entropy
Ideal Gas entropy is the entropy in an ideal condition.
Symbol: Sig
Measurement: Specific EntropyUnit: J/kg*K
Note: Value can be positive or negative.
Formulas to find Ideal Gas EntropyOpen Variable
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.
Symbol: y1
Measurement: NAUnit: Unitless
Note: Value should be between 0 to 1.
Formulas to find Mole Fraction of Component 1 in Vapour PhaseOpen Variable
Ideal Gas Entropy of Component 1
Ideal Gas entropy of component 1 is the entropy of component 1 in an ideal condition.
Symbol: S1ig
Measurement: Specific EntropyUnit: J/kg*K
Note: Value can be positive or negative.
Formulas to find Ideal Gas Entropy of Component 1Open Variable
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.
Symbol: y2
Measurement: NAUnit: Unitless
Note: Value should be between 0 to 1.
Formulas to find Mole Fraction of Component 2 in Vapour PhaseOpen Variable
Ideal Gas Entropy of Component 2
Ideal Gas entropy of component 2 is the entropy of component 2 in an ideal condition.
Symbol: S2ig
Measurement: Specific EntropyUnit: J/kg*K
Note: Value can be positive or negative.
Formulas to find Ideal Gas Entropy of Component 2Open Variable
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
ln
The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.
Syntax: ln(Number)

Other formulas in Ideal Gas Mixture Model category

​Go Ideal Gas Gibbs Free Energy using Ideal Gas Mixture Model in Binary System
Gig=modu̲s((y1⋅G1ig+y2⋅G2ig)+[R]⋅T⋅(y1⋅ln(y1)+y2⋅ln(y2)))
​Go Ideal Gas Enthalpy using Ideal Gas Mixture Model in Binary System
Hig=y1⋅H1ig+y2⋅H2ig
​Go Ideal Gas Volume using Ideal Gas Mixture Model in Binary System
Vig=y1⋅V1ig+y2⋅V2ig

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

Ideal Gas Entropy using Ideal Gas Mixture Model in Binary System evaluator 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 evaluate 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 Sig symbol.

How to evaluate Ideal Gas Entropy using Ideal Gas Mixture Model in Binary System using this online evaluator? To use this online evaluator 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 (S1ig), Mole Fraction of Component 2 in Vapour Phase (y2) & Ideal Gas Entropy of Component 2 (S2ig) and hit the calculate button.

FAQs on Ideal Gas Entropy using Ideal Gas Mixture Model in Binary System

What is the formula to find Ideal Gas Entropy using Ideal Gas Mixture Model in Binary System?
The formula of Ideal Gas Entropy using Ideal Gas Mixture Model in Binary System is expressed as 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)). Here is an example- 91.46545 = (0.5*87+0.55*77)-[R]*(0.5*ln(0.5)+0.55*ln(0.55)).
How to calculate Ideal Gas Entropy using Ideal Gas Mixture Model in Binary System?
With Mole Fraction of Component 1 in Vapour Phase (y1), Ideal Gas Entropy of Component 1 (S1ig), Mole Fraction of Component 2 in Vapour Phase (y2) & Ideal Gas Entropy of Component 2 (S2ig) we can find Ideal Gas Entropy using Ideal Gas Mixture Model in Binary System using the formula - 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)). This formula also uses Universal gas constant and Natural Logarithm (ln) function(s).
Can the Ideal Gas Entropy using Ideal Gas Mixture Model in Binary System be negative?
Yes, the Ideal Gas Entropy using Ideal Gas Mixture Model in Binary System, measured in Specific Entropy can be negative.
Which unit is used to measure Ideal Gas Entropy using Ideal Gas Mixture Model in Binary System?
Ideal Gas Entropy using Ideal Gas Mixture Model in Binary System is usually measured using the Joule per Kilogram K[J/kg*K] for Specific Entropy. Calorie per Gram per Celcius[J/kg*K], Joule per Kilogram per Celcius[J/kg*K], Kilojoule per Kilogram per Celcius[J/kg*K] are the few other units in which Ideal Gas Entropy using Ideal Gas Mixture Model in Binary System can be measured.
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