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

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GoTemperature using Residual Gibbs Free Energy and Fugacity Formula

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Temperature is the degree or intensity of heat present in a substance or object. Check FAQs

T = mod \underset{̲}{u} s (\frac{G - G ig}{[R] \cdot \ln (ϕ)})

T - Temperature?G - Gibbs Free Energy?G^ig - Ideal Gas Gibbs Free Energy?ϕ - Fugacity Coefficient?[R] - Universal gas constant?

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

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Here is how the Temperature using Actual and Ideal Gibbs Free Energy and Fugacity Coefficient equation looks like with Values.

Here is how the Temperature using Actual and Ideal Gibbs Free Energy and Fugacity Coefficient equation looks like with Units.

Here is how the Temperature using Actual and Ideal Gibbs Free Energy and Fugacity Coefficient equation looks like.

313.2883 = mod \underset{̲}{u} s (\frac{228.61 - 95}{8.3145 \cdot \ln (0.95)})

313.2883K = mod \underset{̲}{u} s (\frac{228.61J - 95J}{8.3145 \cdot \ln (0.95)})

313.2883 = mod \underset{̲}{u} s (\frac{228.61 - 95}{8.3145 \cdot \ln (0.95)})

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

Follow our step by step solution on how to calculate Temperature using Actual and Ideal Gibbs Free Energy and Fugacity Coefficient?

FIRST Step Consider the formula

T = mod \underset{̲}{u} s (\frac{G - G ig}{[R] \cdot \ln (ϕ)})

Next Step Substitute values of Variables

∴

T = mod \underset{̲}{u} s (\frac{228.61J - 95J}{[R] \cdot \ln (0.95)})

Next Step Substitute values of Constants

∴

T = mod \underset{̲}{u} s (\frac{228.61J - 95J}{8.3145 \cdot \ln (0.95)})

Next Step Prepare to Evaluate

∴

T = mod \underset{̲}{u} s (\frac{228.61 - 95}{8.3145 \cdot \ln (0.95)})

Next Step Evaluate

∴

T = 313.288306963549K

LAST Step Rounding Answer

∴

T = 313.2883K

Temperature using Actual and Ideal Gibbs Free Energy and Fugacity Coefficient Formula Elements

Variables

Constants

Functions

Temperature

Temperature is the degree or intensity of heat present in a substance or object.

Symbol: T

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Temperature

Gibbs Free Energy

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.

Symbol: G

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Gibbs Free Energy

Ideal Gas Gibbs Free Energy

Ideal Gas Gibbs Free Energy is the Gibbs energy in an ideal condition.

Symbol: G^ig

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Ideal Gas Gibbs Free Energy

Fugacity Coefficient

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

Symbol: ϕ

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Fugacity Coefficient

Universal gas constant

Universal gas constant is a fundamental physical constant that appears in the ideal gas law, relating the pressure, volume, and temperature of an ideal gas.

Symbol: [R]

Value: 8.31446261815324

The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.

Syntax: ln(Number)

modulus

Modulus of a number is the remainder when that number is divided by another number.

Syntax: modulus

Other Formulas to find Temperature

Go Temperature using Residual Gibbs Free Energy and Fugacity Coefficient

T = mod \underset{̲}{u} s (\frac{G R}{[R] \cdot \ln (ϕ)})

Go Temperature using Residual Gibbs Free Energy and Fugacity

T = \frac{G R}{[R] \cdot \ln (\frac{f}{P})}

Go Temperature using Gibbs Free Energy, Ideal Gibbs Free Energy, Pressure and Fugacity

T = mod \underset{̲}{u} s (\frac{G - G ig}{[R] \cdot \ln (\frac{f}{P})})

Other formulas in Fugacity and Fugacity Coefficient category

Go Gibbs Free Energy using Ideal Gibbs Free Energy and Fugacity Coefficient

G = G ig + [R] \cdot T \cdot \ln (ϕ)

Go Residual Gibbs Free Energy using Fugacity Coefficient

G R = [R] \cdot T \cdot \ln (ϕ)

Go Fugacity Coefficient using Residual Gibbs Free Energy

ϕ = \exp (\frac{G R}{[R] \cdot T})

Go Residual Gibbs Free Energy using Fugacity and Pressure

G R = [R] \cdot T \cdot \ln (\frac{f}{P})

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

Temperature using Actual and Ideal Gibbs Free Energy and Fugacity Coefficient evaluator uses Temperature = modulus((Gibbs Free Energy-Ideal Gas Gibbs Free Energy)/([R]*ln(Fugacity Coefficient))) to evaluate 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 evaluate Temperature using Actual and Ideal Gibbs Free Energy and Fugacity Coefficient using this online evaluator? To use this online evaluator 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.

FAQs on Temperature using Actual and Ideal Gibbs Free Energy and Fugacity Coefficient

What is the formula to find Temperature using Actual and Ideal Gibbs Free Energy and Fugacity Coefficient?

The formula of Temperature using Actual and Ideal Gibbs Free Energy and Fugacity Coefficient is expressed as Temperature = modulus((Gibbs Free Energy-Ideal Gas Gibbs Free Energy)/([R]*ln(Fugacity Coefficient))). Here is an example- 6.978934 = modulus((228.61-95)/([R]*ln(0.95))).

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

With Gibbs Free Energy (G), Ideal Gas Gibbs Free Energy (G^ig) & Fugacity Coefficient (ϕ) we can find Temperature using Actual and Ideal Gibbs Free Energy and Fugacity Coefficient using the formula - Temperature = modulus((Gibbs Free Energy-Ideal Gas Gibbs Free Energy)/([R]*ln(Fugacity Coefficient))). This formula also uses Universal gas constant and , Natural Logarithm (ln), Modulus (modulus) function(s).

What are the other ways to Calculate Temperature?

Here are the different ways to Calculate Temperature-

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)))

Can the Temperature using Actual and Ideal Gibbs Free Energy and Fugacity Coefficient be negative?

Yes, the Temperature using Actual and Ideal Gibbs Free Energy and Fugacity Coefficient, measured in Temperature can be negative.

Which unit is used to measure Temperature using Actual and Ideal Gibbs Free Energy and Fugacity Coefficient?

Temperature using Actual and Ideal Gibbs Free Energy and Fugacity Coefficient is usually measured using the Kelvin[K] for Temperature. Celsius[K], Fahrenheit[K], Rankine[K] are the few other units in which Temperature using Actual and Ideal Gibbs Free Energy and Fugacity Coefficient can be measured.

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

​GoTemperature using Residual Gibbs Free Energy and Fugacity Coefficient Formula

​GoTemperature using Residual Gibbs Free Energy and Fugacity Formula

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

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

Temperature using Actual and Ideal Gibbs Free Energy and Fugacity Coefficient Formula Elements

Other Formulas to find Temperature

Other formulas in Fugacity and Fugacity Coefficient category

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

FAQs on Temperature using Actual and Ideal Gibbs Free Energy and Fugacity Coefficient

Variable Name

GoTemperature using Residual Gibbs Free Energy and Fugacity Coefficient Formula

GoTemperature using Residual Gibbs Free Energy and Fugacity Formula