Temperature using Residual Gibbs Free Energy and Fugacity Calculator

✖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 [G^R]			+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%

✖Temperature is the degree or intensity of heat present in a substance or object.ⓘ Temperature using Residual Gibbs Free Energy and Fugacity [T]

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Temperature using Residual Gibbs Free Energy and Fugacity Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Temperature - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.
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.
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

Residual Gibbs Free Energy: 105 Joule --> 105 Joule 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

T = G^R/([R]*ln(f/P)) --> 105/([R]*ln(15/38.4))

Evaluating ... ...

T = -13.4345742178126

STEP 3: Convert Result to Output's Unit

-13.4345742178126 Kelvin --> No Conversion Required

FINAL ANSWER

-13.4345742178126 ≈ -13.434574 Kelvin <-- Temperature

(Calculation completed in 00.004 seconds)

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Home » Engineering » Chemical Engineering » Thermodynamics » Solution Thermodynamics » Fugacity and Fugacity Coefficient » Fugacity and Fugacity Coefficient using Residual Gibbs Energy » Fugacity and Fugacity Coefficient » Temperature using Residual Gibbs Free Energy and Fugacity

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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)

Temperature using Residual Gibbs Free Energy and Fugacity Formula

LaTeX Go

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

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

How to calculate Temperature using Residual Gibbs Free Energy and Fugacity using this online calculator? To use this online calculator for Temperature using Residual Gibbs Free Energy and Fugacity, enter Residual Gibbs Free Energy (G^R), Fugacity (f) & Pressure (P) and hit the calculate button. Here is how the Temperature using Residual Gibbs Free Energy and Fugacity calculation can be explained with given input values -> -13.434574 = 105/([R]*ln(15/38.4)).

FAQ

What is Temperature using Residual Gibbs Free Energy and Fugacity?

The Temperature using Residual Gibbs Free Energy and Fugacity formula is defined as the ratio of the residual Gibbs free energy to the product of the universal gas constant and the natural logarithm of the ratio of the fugacity to the pressure and is represented as T = G^R/([R]*ln(f/P)) or Temperature = Residual Gibbs Free Energy/([R]*ln(Fugacity/Pressure)). 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, 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 Temperature using Residual Gibbs Free Energy and Fugacity?

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

In this formula, Temperature uses Residual Gibbs Free Energy, Fugacity & Pressure. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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