Residual Gibbs Free Energy using Fugacity and Pressure Calculator

✖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%

✖Residual Gibbs Free Energy is the Gibbs energy of a mixture which is left as residual from what it would be if it were ideal.ⓘ Residual Gibbs Free Energy using Fugacity and Pressure [G^R]

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Residual Gibbs Free Energy using Fugacity and Pressure Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Residual Gibbs Free Energy - (Measured in Joule) - Residual Gibbs Free Energy is the Gibbs energy of a mixture which is left as residual from what it would be if it were ideal.
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

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

Evaluating ... ...

G^R = -3517.04484518402

STEP 3: Convert Result to Output's Unit

-3517.04484518402 Joule --> No Conversion Required

FINAL ANSWER

-3517.04484518402 ≈ -3517.044845 Joule <-- Residual 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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< 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)

Residual Gibbs Free Energy using Fugacity and Pressure Formula

LaTeX Go

Residual Gibbs Free Energy = [R]*Temperature*ln(Fugacity/Pressure)
G^R = [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 Residual Gibbs Free Energy using Fugacity and Pressure?

Residual Gibbs Free Energy using Fugacity and Pressure calculator uses Residual Gibbs Free Energy = [R]*Temperature*ln(Fugacity/Pressure) to calculate the Residual Gibbs Free Energy, The Residual Gibbs Free Energy using Fugacity and Pressure formula is defined as the product of the universal gas constant, temperature and the natural logarithm of the ratio of the fugacity to the pressure. Residual Gibbs Free Energy is denoted by G^R symbol.

How to calculate Residual Gibbs Free Energy using Fugacity and Pressure using this online calculator? To use this online calculator for Residual Gibbs Free Energy using Fugacity and Pressure, enter Temperature (T), Fugacity (f) & Pressure (P) and hit the calculate button. Here is how the Residual Gibbs Free Energy using Fugacity and Pressure calculation can be explained with given input values -> -3517.044845 = [R]*450*ln(15/38.4).

FAQ

What is Residual Gibbs Free Energy using Fugacity and Pressure?

The Residual Gibbs Free Energy using Fugacity and Pressure formula is defined as 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^R = [R]*T*ln(f/P) or Residual Gibbs Free Energy = [R]*Temperature*ln(Fugacity/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 Residual Gibbs Free Energy using Fugacity and Pressure?

The Residual Gibbs Free Energy using Fugacity and Pressure formula is defined as the product of the universal gas constant, temperature and the natural logarithm of the ratio of the fugacity to the pressure is calculated using Residual Gibbs Free Energy = [R]*Temperature*ln(Fugacity/Pressure). To calculate Residual Gibbs Free Energy using Fugacity and Pressure, you need Temperature (T), Fugacity (f) & Pressure (P). With our tool, you need to enter the respective value for 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 Residual Gibbs Free Energy?

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

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

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