Ideal Gibbs Free Energy using Gibbs Free Energy and Fugacity Coefficient Calculator

✖Gibbs Free Energy is a thermodynamic potential that can be used to calculate the maximum of reversible work that may be performed by a thermodynamic system at a constant temperature and pressure.ⓘ Gibbs Free Energy [G]			+10% -10%
✖Temperature is the degree or intensity of heat present in a substance or object.ⓘ Temperature [T]			+10% -10%
✖Fugacity coefficient is the ratio of fugacity to the pressure of that component.ⓘ Fugacity Coefficient [ϕ]			+10% -10%

✖Ideal Gas Gibbs Free Energy is the Gibbs energy in an ideal condition.ⓘ Ideal Gibbs Free Energy using Gibbs Free Energy and Fugacity Coefficient [G^ig]

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Formula

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Ideal Gibbs Free Energy using Gibbs Free Energy and Fugacity Coefficient

Formula

`"G"^{"ig"} = "G"-"[R]"*"T"*ln("ϕ")`

Example

`"420.5243J"="228.61J"-"[R]"*"450K"*ln("0.95")`

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Ideal Gibbs Free Energy using Gibbs Free Energy and Fugacity Coefficient Solution

STEP 0: Pre-Calculation Summary

Formula Used

Ideal Gas Gibbs Free Energy = Gibbs Free Energy-[R]*Temperature*ln(Fugacity Coefficient)
G^ig = G-[R]*T*ln(ϕ)
This formula uses 1 Constants, 1 Functions, 4 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 Gibbs Free Energy - (Measured in Joule) - Ideal Gas Gibbs Free Energy is the Gibbs energy in an ideal condition.
Gibbs Free Energy - (Measured in Joule) - Gibbs Free Energy is a thermodynamic potential that can be used to calculate the maximum of reversible work that may be performed by a thermodynamic system at a constant temperature and pressure.
Temperature - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.
Fugacity Coefficient - Fugacity coefficient is the ratio of fugacity to the pressure of that component.

STEP 1: Convert Input(s) to Base Unit

Gibbs Free Energy: 228.61 Joule --> 228.61 Joule No Conversion Required
Temperature: 450 Kelvin --> 450 Kelvin No Conversion Required
Fugacity Coefficient: 0.95 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

G^ig = G-[R]*T*ln(ϕ) --> 228.61-[R]*450*ln(0.95)

Evaluating ... ...

G^ig = 420.524280436248

STEP 3: Convert Result to Output's Unit

420.524280436248 Joule --> No Conversion Required

FINAL ANSWER

420.524280436248 ≈ 420.5243 Joule <-- Ideal Gas 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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Verified by Pragati Jaju

College Of Engineering (COEP), Pune

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< 16 Fugacity and Fugacity Coefficient Calculators

Temperature using Gibbs Free Energy, Ideal Gibbs Free Energy, Pressure and Fugacity

Go Temperature = modulus((Gibbs Free Energy-Ideal Gas Gibbs Free Energy)/([R]*ln(Fugacity/Pressure)))

Temperature using Actual and Ideal Gibbs Free Energy and Fugacity Coefficient

Go Temperature = modulus((Gibbs Free Energy-Ideal Gas Gibbs Free Energy)/([R]*ln(Fugacity Coefficient)))

Fugacity using Gibbs Free Energy, Ideal Gibbs Free Energy and Pressure

Go Fugacity = Pressure*exp((Gibbs Free Energy-Ideal Gas Gibbs Free Energy)/([R]*Temperature))

Pressure using Gibbs Free Energy, Ideal Gibbs Free Energy and Fugacity

Go Pressure = Fugacity/exp((Gibbs Free Energy-Ideal Gas Gibbs Free Energy)/([R]*Temperature))

Ideal Gibbs Free Energy using Gibbs Free Energy, Pressure and Fugacity Coefficient

Go Ideal Gas Gibbs Free Energy = Gibbs Free Energy-[R]*Temperature*ln(Fugacity/Pressure)

Gibbs Free Energy using Ideal Gibbs Free Energy, Pressure and Fugacity

Go Gibbs Free Energy = Ideal Gas Gibbs Free Energy+[R]*Temperature*ln(Fugacity/Pressure)

Fugacity Coefficient using Gibbs Free Energy and Ideal Gibbs Free Energy

Go Fugacity Coefficient = exp((Gibbs Free Energy-Ideal Gas Gibbs Free Energy)/([R]*Temperature))

Gibbs Free Energy using Ideal Gibbs Free Energy and Fugacity Coefficient

Go Gibbs Free Energy = Ideal Gas Gibbs Free Energy+[R]*Temperature*ln(Fugacity Coefficient)

Ideal Gibbs Free Energy using Gibbs Free Energy and Fugacity Coefficient

Go Ideal Gas Gibbs Free Energy = Gibbs Free Energy-[R]*Temperature*ln(Fugacity Coefficient)

Temperature using Residual Gibbs Free Energy and Fugacity Coefficient

Go Temperature = modulus(Residual Gibbs Free Energy/([R]*ln(Fugacity Coefficient)))

Fugacity using Residual Gibbs Free Energy and Pressure

Go Fugacity = Pressure*exp(Residual Gibbs Free Energy/([R]*Temperature))

Pressure using Residual Gibbs Free Energy and Fugacity

Go Pressure = Fugacity/exp(Residual Gibbs Free Energy/([R]*Temperature))

Temperature using Residual Gibbs Free Energy and Fugacity

Go Temperature = Residual Gibbs Free Energy/([R]*ln(Fugacity/Pressure))

Residual Gibbs Free Energy using Fugacity and Pressure

Go Residual Gibbs Free Energy = [R]*Temperature*ln(Fugacity/Pressure)

Fugacity Coefficient using Residual Gibbs Free Energy

Go Fugacity Coefficient = exp(Residual Gibbs Free Energy/([R]*Temperature))

Residual Gibbs Free Energy using Fugacity Coefficient

Go Residual Gibbs Free Energy = [R]*Temperature*ln(Fugacity Coefficient)

Ideal Gibbs Free Energy using Gibbs Free Energy and Fugacity Coefficient Formula

Ideal Gas Gibbs Free Energy = Gibbs Free Energy-[R]*Temperature*ln(Fugacity Coefficient)
G^ig = G-[R]*T*ln(ϕ)

What is Gibbs Free Energy?

The Gibbs free energy (or Gibbs energy) is a thermodynamic potential that can be used to calculate the maximum reversible work that may be performed by a thermodynamic system at a constant temperature and pressure. The Gibbs free energy measured in joules in SI) is the maximum amount of non-expansion work that can be extracted from a thermodynamically closed system (can exchange heat and work with its surroundings, but not matter). This maximum can be attained only in a completely reversible process. When a system transforms reversibly from an initial state to a final state, the decrease in Gibbs free energy equals the work done by the system to its surroundings, minus the work of the pressure forces.

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 Gibbs Free Energy using Gibbs Free Energy and Fugacity Coefficient?

Ideal Gibbs Free Energy using Gibbs Free Energy and Fugacity Coefficient calculator uses Ideal Gas Gibbs Free Energy = Gibbs Free Energy-[R]*Temperature*ln(Fugacity Coefficient) to calculate the Ideal Gas Gibbs Free Energy, The Ideal Gibbs Free Energy using Gibbs Free Energy and Fugacity Coefficient formula is defined as the difference of actual Gibbs free energy and the product of the universal gas constant, temperature and the natural logarithm of fugacity coefficient. Ideal Gas Gibbs Free Energy is denoted by G^ig symbol.

How to calculate Ideal Gibbs Free Energy using Gibbs Free Energy and Fugacity Coefficient using this online calculator? To use this online calculator for Ideal Gibbs Free Energy using Gibbs Free Energy and Fugacity Coefficient, enter Gibbs Free Energy (G), Temperature (T) & Fugacity Coefficient (ϕ) and hit the calculate button. Here is how the Ideal Gibbs Free Energy using Gibbs Free Energy and Fugacity Coefficient calculation can be explained with given input values -> 8843.751 = 228.61-[R]*450*ln(0.95).

FAQ

What is Ideal Gibbs Free Energy using Gibbs Free Energy and Fugacity Coefficient?

The Ideal Gibbs Free Energy using Gibbs Free Energy and Fugacity Coefficient formula is defined as the difference of actual Gibbs free energy and the product of the universal gas constant, temperature and the natural logarithm of fugacity coefficient and is represented as G^ig = G-[R]*T*ln(ϕ) or Ideal Gas Gibbs Free Energy = Gibbs Free Energy-[R]*Temperature*ln(Fugacity Coefficient). Gibbs Free Energy is a thermodynamic potential that can be used to calculate the maximum of reversible work that may be performed by a thermodynamic system at a constant temperature and pressure, Temperature is the degree or intensity of heat present in a substance or object & Fugacity coefficient is the ratio of fugacity to the pressure of that component.

How to calculate Ideal Gibbs Free Energy using Gibbs Free Energy and Fugacity Coefficient?

The Ideal Gibbs Free Energy using Gibbs Free Energy and Fugacity Coefficient formula is defined as the difference of actual Gibbs free energy and the product of the universal gas constant, temperature and the natural logarithm of fugacity coefficient is calculated using Ideal Gas Gibbs Free Energy = Gibbs Free Energy-[R]*Temperature*ln(Fugacity Coefficient). To calculate Ideal Gibbs Free Energy using Gibbs Free Energy and Fugacity Coefficient, you need Gibbs Free Energy (G), Temperature (T) & Fugacity Coefficient (ϕ). With our tool, you need to enter the respective value for Gibbs Free Energy, Temperature & Fugacity Coefficient and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Ideal Gas Gibbs Free Energy?

In this formula, Ideal Gas Gibbs Free Energy uses Gibbs Free Energy, Temperature & Fugacity Coefficient. We can use 1 other way(s) to calculate the same, which is/are as follows -

Ideal Gas Gibbs Free Energy = Gibbs Free Energy-[R]*Temperature*ln(Fugacity/Pressure)

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