Fugacity Coefficient using Residual Gibbs Free Energy 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%
✖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 using Residual Gibbs Free Energy [ϕ]

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Formula

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Fugacity Coefficient using Residual Gibbs Free Energy

Formula

`"ϕ" = exp("G"^{"R"}/("[R]"*"T"))`

Example

`"1.028461"=exp("105J"/("[R]"*"450K"))`

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Fugacity Coefficient using Residual Gibbs Free Energy Solution

STEP 0: Pre-Calculation Summary

Formula Used

Fugacity Coefficient = exp(Residual Gibbs Free Energy/([R]*Temperature))
ϕ = exp(G^R/([R]*T))
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Functions Used

exp - n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable., exp(Number)

Variables Used

Fugacity Coefficient - Fugacity coefficient is the ratio of fugacity to the pressure of that component.
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.

STEP 1: Convert Input(s) to Base Unit

Residual Gibbs Free Energy: 105 Joule --> 105 Joule No Conversion Required
Temperature: 450 Kelvin --> 450 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ϕ = exp(G^R/([R]*T)) --> exp(105/([R]*450))

Evaluating ... ...

ϕ = 1.02846104053988

STEP 3: Convert Result to Output's Unit

1.02846104053988 --> No Conversion Required

FINAL ANSWER

1.02846104053988 ≈ 1.028461 <-- Fugacity Coefficient

(Calculation completed in 00.004 seconds)

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Created by Shivam Sinha

National Institute Of Technology (NIT), Surathkal

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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)

Fugacity Coefficient using Residual Gibbs Free Energy Formula

Fugacity Coefficient = exp(Residual Gibbs Free Energy/([R]*Temperature))
ϕ = exp(G^R/([R]*T))

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 Fugacity Coefficient using Residual Gibbs Free Energy?

Fugacity Coefficient using Residual Gibbs Free Energy calculator uses Fugacity Coefficient = exp(Residual Gibbs Free Energy/([R]*Temperature)) to calculate the Fugacity Coefficient, The Fugacity Coefficient using Residual Gibbs Free Energy formula is defined as the exponential of the ratio of the residual Gibbs free energy to the product of universal gas constant and temperature. Fugacity Coefficient is denoted by ϕ symbol.

How to calculate Fugacity Coefficient using Residual Gibbs Free Energy using this online calculator? To use this online calculator for Fugacity Coefficient using Residual Gibbs Free Energy, enter Residual Gibbs Free Energy (G^R) & Temperature (T) and hit the calculate button. Here is how the Fugacity Coefficient using Residual Gibbs Free Energy calculation can be explained with given input values -> 1.028461 = exp(105/([R]*450)).

FAQ

What is Fugacity Coefficient using Residual Gibbs Free Energy?

The Fugacity Coefficient using Residual Gibbs Free Energy formula is defined as the exponential of the ratio of the residual Gibbs free energy to the product of universal gas constant and temperature and is represented as ϕ = exp(G^R/([R]*T)) or Fugacity Coefficient = exp(Residual Gibbs Free Energy/([R]*Temperature)). 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 is the degree or intensity of heat present in a substance or object.

How to calculate Fugacity Coefficient using Residual Gibbs Free Energy?

The Fugacity Coefficient using Residual Gibbs Free Energy formula is defined as the exponential of the ratio of the residual Gibbs free energy to the product of universal gas constant and temperature is calculated using Fugacity Coefficient = exp(Residual Gibbs Free Energy/([R]*Temperature)). To calculate Fugacity Coefficient using Residual Gibbs Free Energy, you need Residual Gibbs Free Energy (G^R) & Temperature (T). With our tool, you need to enter the respective value for Residual Gibbs Free Energy & Temperature 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 Fugacity Coefficient?

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

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

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