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Temperature using Residual Gibbs Free Energy and Fugacity Formula

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

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

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

T - Temperature?G^R - Residual Gibbs Free Energy?f - Fugacity?P - Pressure?[R] - Universal gas constant?

Temperature using Residual Gibbs Free Energy and Fugacity Example

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

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

Here is how the Temperature using Residual Gibbs Free Energy and Fugacity equation looks like.

-13.4346 = \frac{105}{8.3145 \cdot \ln (\frac{15}{38.4})}

-13.4346K = \frac{105J}{8.3145 \cdot \ln (\frac{15Pa}{38.4Pa})}

-13.4346 = \frac{105}{8.3145 \cdot \ln (\frac{15}{38.4})}

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Temperature using Residual Gibbs Free Energy and Fugacity Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

T = \frac{105J}{[R] \cdot \ln (\frac{15Pa}{38.4Pa})}

Next Step Substitute values of Constants

∴

T = \frac{105J}{8.3145 \cdot \ln (\frac{15Pa}{38.4Pa})}

Next Step Prepare to Evaluate

∴

T = \frac{105}{8.3145 \cdot \ln (\frac{15}{38.4})}

Next Step Evaluate

∴

T = -13.4345742178126K

LAST Step Rounding Answer

∴

T = -13.4346K

Temperature using Residual Gibbs Free Energy and Fugacity 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

Residual Gibbs Free Energy

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.

Symbol: G^R

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Residual Gibbs Free Energy

Fugacity

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.

Symbol: f

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Fugacity

Pressure

Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.

Symbol: P

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Pressure

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)

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 Actual and Ideal Gibbs Free Energy and Fugacity Coefficient

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

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 Residual Gibbs Free Energy and Fugacity?

Temperature using Residual Gibbs Free Energy and Fugacity evaluator uses Temperature = Residual Gibbs Free Energy/([R]*ln(Fugacity/Pressure)) to evaluate 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 evaluate Temperature using Residual Gibbs Free Energy and Fugacity using this online evaluator? To use this online evaluator 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.

FAQs on Temperature using Residual Gibbs Free Energy and Fugacity

What is the formula to find Temperature using Residual Gibbs Free Energy and Fugacity?

The formula of Temperature using Residual Gibbs Free Energy and Fugacity is expressed as Temperature = Residual Gibbs Free Energy/([R]*ln(Fugacity/Pressure)). Here is an example- -13.434574 = 105/([R]*ln(15/38.4)).

How to calculate Temperature using Residual Gibbs Free Energy and Fugacity?

With Residual Gibbs Free Energy (G^R), Fugacity (f) & Pressure (P) we can find Temperature using Residual Gibbs Free Energy and Fugacity using the formula - Temperature = Residual Gibbs Free Energy/([R]*ln(Fugacity/Pressure)). This formula also uses Universal gas constant and Natural Logarithm (ln) 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=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)))

Can the Temperature using Residual Gibbs Free Energy and Fugacity be negative?

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

Which unit is used to measure Temperature using Residual Gibbs Free Energy and Fugacity?

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

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Temperature using Residual Gibbs Free Energy and Fugacity Formula

​GoTemperature using Residual Gibbs Free Energy and Fugacity Coefficient Formula

​GoTemperature using Actual and Ideal Gibbs Free Energy and Fugacity Coefficient Formula

Temperature using Residual Gibbs Free Energy and Fugacity Example

Temperature using Residual Gibbs Free Energy and Fugacity Solution

Temperature using Residual Gibbs Free Energy and Fugacity Formula Elements

Other Formulas to find Temperature

Other formulas in Fugacity and Fugacity Coefficient category

How to Evaluate Temperature using Residual Gibbs Free Energy and Fugacity?

FAQs on Temperature using Residual Gibbs Free Energy and Fugacity

Variable Name

GoTemperature using Residual Gibbs Free Energy and Fugacity Coefficient Formula

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