Ideal Gibbs Free Energy using Gibbs Free Energy, Pressure 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 is a thermodynamic property of a real gas which if substituted for the pressure or partial pressure in the equations for an ideal gas gives equations applicable to the real gas.ⓘ Fugacity [f]			+10% -10%
✖Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.ⓘ Pressure [P]			+10% -10%

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

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

STEP 0: Pre-Calculation Summary

Formula Used

Ideal Gas Gibbs Free Energy = Gibbs Free Energy-[R]*Temperature*ln(Fugacity/Pressure)
G^ig = G-[R]*T*ln(f/P)
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 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 - (Measured in Pascal) - Fugacity is a thermodynamic property of a real gas which if substituted for the pressure or partial pressure in the equations for an ideal gas gives equations applicable to the real gas.
Pressure - (Measured in Pascal) - Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.

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: 15 Pascal --> 15 Pascal No Conversion Required
Pressure: 38.4 Pascal --> 38.4 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

G^ig = G-[R]*T*ln(f/P) --> 228.61-[R]*450*ln(15/38.4)

Evaluating ... ...

G^ig = 3745.65484518402

STEP 3: Convert Result to Output's Unit

3745.65484518402 Joule --> No Conversion Required

FINAL ANSWER

3745.65484518402 ≈ 3745.655 Joule <-- Ideal Gas Gibbs Free Energy

(Calculation completed in 00.035 seconds)

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Created by Shivam Sinha

National Institute Of Technology (NIT), Surathkal

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National Institute of Information Technology (NIIT), Neemrana

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< Fugacity and Fugacity Coefficient Calculators

Gibbs Free Energy using Ideal Gibbs Free Energy and Fugacity Coefficient

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

Temperature using Residual Gibbs Free Energy and Fugacity Coefficient

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

Fugacity Coefficient using Residual Gibbs Free Energy

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

Residual Gibbs Free Energy using Fugacity Coefficient

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

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

LaTeX Go

Ideal Gas Gibbs Free Energy = Gibbs Free Energy-[R]*Temperature*ln(Fugacity/Pressure)
G^ig = G-[R]*T*ln(f/P)

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, Pressure and Fugacity Coefficient?

Ideal Gibbs Free Energy using Gibbs Free Energy, Pressure and Fugacity Coefficient calculator uses Ideal Gas Gibbs Free Energy = Gibbs Free Energy-[R]*Temperature*ln(Fugacity/Pressure) to calculate the Ideal Gas Gibbs Free Energy, The Ideal Gibbs Free Energy using Gibbs Free Energy, Pressure 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 the ratio of the fugacity to the pressure. Ideal Gas Gibbs Free Energy is denoted by G^ig symbol.

How to calculate Ideal Gibbs Free Energy using Gibbs Free Energy, Pressure and Fugacity Coefficient using this online calculator? To use this online calculator for Ideal Gibbs Free Energy using Gibbs Free Energy, Pressure and Fugacity Coefficient, enter Gibbs Free Energy (G), Temperature (T), Fugacity (f) & Pressure (P) and hit the calculate button. Here is how the Ideal Gibbs Free Energy using Gibbs Free Energy, Pressure and Fugacity Coefficient calculation can be explained with given input values -> 3745.655 = 228.61-[R]*450*ln(15/38.4).

FAQ

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

The Ideal Gibbs Free Energy using Gibbs Free Energy, Pressure 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 the ratio of the fugacity to the pressure and is represented as G^ig = G-[R]*T*ln(f/P) or Ideal Gas Gibbs Free Energy = Gibbs Free Energy-[R]*Temperature*ln(Fugacity/Pressure). 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 is a thermodynamic property of a real gas which if substituted for the pressure or partial pressure in the equations for an ideal gas gives equations applicable to the real gas & Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.

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

The Ideal Gibbs Free Energy using Gibbs Free Energy, Pressure 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 the ratio of the fugacity to the pressure is calculated using Ideal Gas Gibbs Free Energy = Gibbs Free Energy-[R]*Temperature*ln(Fugacity/Pressure). To calculate Ideal Gibbs Free Energy using Gibbs Free Energy, Pressure and Fugacity Coefficient, you need Gibbs Free Energy (G), Temperature (T), Fugacity (f) & Pressure (P). With our tool, you need to enter the respective value for Gibbs Free Energy, Temperature, Fugacity & Pressure 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 & Pressure. 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 Coefficient)

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