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

✖Ideal Gas Gibbs Free Energy is the Gibbs energy in an ideal condition.ⓘ Ideal Gas Gibbs Free Energy using Ideal Gas Mixture Model in Binary System [G^ig]

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

Formula

`"G"^{"ig"} = "modulus"(("y"_{"1"}*"G1"^{"ig"}+"y"_{"2"}*"G2"^{"ig"})+"[R]"*"T"*("y"_{"1"}*ln("y"_{"1"})+"y"_{"2"}*ln("y"_{"2"})))`

Example

`"2446.855J"="modulus"(("0.5"*"81J"+"0.55"*"72J")+"[R]"*"450K"*("0.5"*ln("0.5")+"0.55"*ln("0.55")))`

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

STEP 0: Pre-Calculation Summary

Formula Used

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)))
G^ig = modulus((y₁*G1^ig+y₂*G2^ig)+[R]*T*(y₁*ln(y₁)+y₂*ln(y₂)))
This formula uses 1 Constants, 2 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)
modulus - Modulus of a number is the remainder when that number is divided by another number., modulus

Variables Used

Ideal Gas Gibbs Free Energy - (Measured in Joule) - Ideal Gas Gibbs Free Energy is the Gibbs energy 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 Gibbs Free Energy of Component 1 - (Measured in Joule) - Ideal Gas Gibbs Free Energy of component 1 is the Gibbs energy 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 Gibbs Free Energy of Component 2 - (Measured in Joule) - Ideal Gas Gibbs Free Energy of component 2 is the Gibbs energy of component 2 in an ideal 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 Vapour Phase: 0.5 --> No Conversion Required
Ideal Gas Gibbs Free Energy of Component 1: 81 Joule --> 81 Joule No Conversion Required
Mole Fraction of Component 2 in Vapour Phase: 0.55 --> No Conversion Required
Ideal Gas Gibbs Free Energy of Component 2: 72 Joule --> 72 Joule No Conversion Required
Temperature: 450 Kelvin --> 450 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

G^ig = modulus((y₁*G1^ig+y₂*G2^ig)+[R]*T*(y₁*ln(y₁)+y₂*ln(y₂))) --> modulus((0.5*81+0.55*72)+[R]*450*(0.5*ln(0.5)+0.55*ln(0.55)))

Evaluating ... ...

G^ig = 2446.85453751643

STEP 3: Convert Result to Output's Unit

2446.85453751643 Joule --> No Conversion Required

FINAL ANSWER

2446.85453751643 ≈ 2446.855 Joule <-- Ideal Gas Gibbs Free Energy

(Calculation completed in 00.004 seconds)

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

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

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

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

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

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.

How to Calculate Ideal Gas Gibbs Free Energy using Ideal Gas Mixture Model in Binary System?

Ideal Gas Gibbs Free Energy using Ideal Gas Mixture Model in Binary System calculator uses 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))) to calculate the Ideal Gas Gibbs Free Energy, The Ideal Gas Gibbs Free Energy using Ideal Gas Mixture Model in Binary System formula is defined as the function of ideal gas Gibbs energy of both components and mole fraction of both components in vapour phase in the binary system. Ideal Gas Gibbs Free Energy is denoted by G^ig symbol.

How to calculate Ideal Gas Gibbs Free Energy using Ideal Gas Mixture Model in Binary System using this online calculator? To use this online calculator for Ideal Gas Gibbs Free Energy using Ideal Gas Mixture Model in Binary System, enter Mole Fraction of Component 1 in Vapour Phase (y₁), Ideal Gas Gibbs Free Energy of Component 1 (G1^ig), Mole Fraction of Component 2 in Vapour Phase (y₂), Ideal Gas Gibbs Free Energy of Component 2 (G2^ig) & Temperature (T) and hit the calculate button. Here is how the Ideal Gas Gibbs Free Energy using Ideal Gas Mixture Model in Binary System calculation can be explained with given input values -> 2446.855 = modulus((0.5*81+0.55*72)+[R]*450*(0.5*ln(0.5)+0.55*ln(0.55))).

FAQ

What is Ideal Gas Gibbs Free Energy using Ideal Gas Mixture Model in Binary System?

The Ideal Gas Gibbs Free Energy using Ideal Gas Mixture Model in Binary System formula is defined as the function of ideal gas Gibbs energy of both components and mole fraction of both components in vapour phase in the binary system and is represented as G^ig = modulus((y₁*G1^ig+y₂*G2^ig)+[R]*T*(y₁*ln(y₁)+y₂*ln(y₂))) or 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))). 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 Gibbs Free Energy of component 1 is the Gibbs energy 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 Gibbs Free Energy of component 2 is the Gibbs energy of component 2 in an ideal condition & Temperature is the degree or intensity of heat present in a substance or object.

How to calculate Ideal Gas Gibbs Free Energy using Ideal Gas Mixture Model in Binary System?

The Ideal Gas Gibbs Free Energy using Ideal Gas Mixture Model in Binary System formula is defined as the function of ideal gas Gibbs energy of both components and mole fraction of both components in vapour phase in the binary system is calculated using 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))). To calculate Ideal Gas Gibbs Free Energy using Ideal Gas Mixture Model in Binary System, you need Mole Fraction of Component 1 in Vapour Phase (y₁), Ideal Gas Gibbs Free Energy of Component 1 (G1^ig), Mole Fraction of Component 2 in Vapour Phase (y₂), Ideal Gas Gibbs Free Energy of Component 2 (G2^ig) & Temperature (T). With our tool, you need to enter the respective value for 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 & 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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