Temperature using Actual and Ideal 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%
✖Ideal Gas Gibbs Free Energy is the Gibbs energy in an ideal condition.ⓘ Ideal Gas Gibbs Free Energy [G^ig]			+10% -10%
✖Fugacity coefficient is the ratio of fugacity to the pressure of that component.ⓘ Fugacity Coefficient [ϕ]			+10% -10%

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

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

STEP 0: Pre-Calculation Summary

Formula Used

Temperature = modulus((Gibbs Free Energy-Ideal Gas Gibbs Free Energy)/([R]*ln(Fugacity Coefficient)))
T = modulus((G-G^ig)/([R]*ln(ϕ)))
This formula uses 1 Constants, 2 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)
modulus - Modulus of a number is the remainder when that number is divided by another number., modulus

Variables Used

Temperature - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.
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.
Ideal Gas Gibbs Free Energy - (Measured in Joule) - Ideal Gas Gibbs Free Energy is the Gibbs energy in an ideal condition.
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
Ideal Gas Gibbs Free Energy: 95 Joule --> 95 Joule No Conversion Required
Fugacity Coefficient: 0.95 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T = modulus((G-G^ig)/([R]*ln(ϕ))) --> modulus((228.61-95)/([R]*ln(0.95)))

Evaluating ... ...

T = 313.288306963549

STEP 3: Convert Result to Output's Unit

313.288306963549 Kelvin --> No Conversion Required

FINAL ANSWER

313.288306963549 ≈ 313.2883 Kelvin <-- Temperature

(Calculation completed in 00.007 seconds)

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Created by Shivam Sinha

National Institute Of Technology (NIT), Surathkal

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Verified by Akshada Kulkarni

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 Actual and Ideal Gibbs Free Energy and Fugacity Coefficient Formula

LaTeX Go

Temperature = modulus((Gibbs Free Energy-Ideal Gas Gibbs Free Energy)/([R]*ln(Fugacity Coefficient)))
T = modulus((G-G^ig)/([R]*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 Temperature using Actual and Ideal Gibbs Free Energy and Fugacity Coefficient?

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

How to calculate Temperature using Actual and Ideal Gibbs Free Energy and Fugacity Coefficient using this online calculator? To use this online calculator for Temperature using Actual and Ideal Gibbs Free Energy and Fugacity Coefficient, enter Gibbs Free Energy (G), Ideal Gas Gibbs Free Energy (G^ig) & Fugacity Coefficient (ϕ) and hit the calculate button. Here is how the Temperature using Actual and Ideal Gibbs Free Energy and Fugacity Coefficient calculation can be explained with given input values -> 6.978934 = modulus((228.61-95)/([R]*ln(0.95))).

FAQ

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

The Temperature using Actual and Ideal Gibbs Free Energy and Fugacity Coefficient formula is defined as the ratio of the difference of actual Gibbs free energy by the ideal Gibbs free energy to the product of the universal gas constant and the natural logarithm of fugacity coefficient and is represented as T = modulus((G-G^ig)/([R]*ln(ϕ))) or Temperature = modulus((Gibbs Free Energy-Ideal Gas Gibbs Free Energy)/([R]*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, Ideal Gas Gibbs Free Energy is the Gibbs energy in an ideal condition & Fugacity coefficient is the ratio of fugacity to the pressure of that component.

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

The Temperature using Actual and Ideal Gibbs Free Energy and Fugacity Coefficient formula is defined as the ratio of the difference of actual Gibbs free energy by the ideal Gibbs free energy to the product of the universal gas constant and the natural logarithm of fugacity coefficient is calculated using Temperature = modulus((Gibbs Free Energy-Ideal Gas Gibbs Free Energy)/([R]*ln(Fugacity Coefficient))). To calculate Temperature using Actual and Ideal Gibbs Free Energy and Fugacity Coefficient, you need Gibbs Free Energy (G), Ideal Gas Gibbs Free Energy (G^ig) & Fugacity Coefficient (ϕ). With our tool, you need to enter the respective value for Gibbs Free Energy, Ideal Gas Gibbs Free Energy & 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 Temperature?

In this formula, Temperature uses Gibbs Free Energy, Ideal Gas Gibbs Free Energy & Fugacity Coefficient. 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 = Residual Gibbs Free Energy/([R]*ln(Fugacity/Pressure))
Temperature = modulus((Gibbs Free Energy-Ideal Gas Gibbs Free Energy)/([R]*ln(Fugacity/Pressure)))

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