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Temperature is the degree or intensity of heat present in a substance or object. Check FAQs
T=modu̲s(G-Gig[R]ln(fP))
T - Temperature?G - Gibbs Free Energy?Gig - Ideal Gas Gibbs Free Energy?f - Fugacity?P - Pressure?[R] - Universal gas constant?

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

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

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

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

17.0952Edit=modu̲s(228.61Edit-95Edit8.3145ln(15Edit38.4Edit))
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Temperature using Gibbs Free Energy, Ideal Gibbs Free Energy, Pressure and Fugacity Solution

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

FIRST Step Consider the formula
T=modu̲s(G-Gig[R]ln(fP))
Next Step Substitute values of Variables
T=modu̲s(228.61J-95J[R]ln(15Pa38.4Pa))
Next Step Substitute values of Constants
T=modu̲s(228.61J-95J8.3145ln(15Pa38.4Pa))
Next Step Prepare to Evaluate
T=modu̲s(228.61-958.3145ln(1538.4))
Next Step Evaluate
T=17.0951758213518K
LAST Step Rounding Answer
T=17.0952K

Temperature using Gibbs Free Energy, Ideal Gibbs Free Energy, Pressure 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.
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.
Ideal Gas Gibbs Free Energy
Ideal Gas Gibbs Free Energy is the Gibbs energy in an ideal condition.
Symbol: Gig
Measurement: EnergyUnit: J
Note: Value can be positive or negative.
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.
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.
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
ln
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=modu̲s(GR[R]ln(ϕ))
​Go Temperature using Residual Gibbs Free Energy and Fugacity
T=GR[R]ln(fP)
​Go Temperature using Actual and Ideal Gibbs Free Energy and Fugacity Coefficient
T=modu̲s(G-Gig[R]ln(ϕ))

Other formulas in Fugacity and Fugacity Coefficient category

​Go Gibbs Free Energy using Ideal Gibbs Free Energy and Fugacity Coefficient
G=Gig+[R]Tln(ϕ)
​Go Residual Gibbs Free Energy using Fugacity Coefficient
GR=[R]Tln(ϕ)
​Go Fugacity Coefficient using Residual Gibbs Free Energy
ϕ=exp(GR[R]T)
​Go Residual Gibbs Free Energy using Fugacity and Pressure
GR=[R]Tln(fP)

How to Evaluate Temperature using Gibbs Free Energy, Ideal Gibbs Free Energy, Pressure and Fugacity?

Temperature using Gibbs Free Energy, Ideal Gibbs Free Energy, Pressure and Fugacity evaluator uses Temperature = modulus((Gibbs Free Energy-Ideal Gas Gibbs Free Energy)/([R]*ln(Fugacity/Pressure))) to evaluate the Temperature, The Temperature using Gibbs Free Energy, Ideal Gibbs Free Energy, Pressure and Fugacity 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 the ratio of the fugacity to the pressure. Temperature is denoted by T symbol.

How to evaluate Temperature using Gibbs Free Energy, Ideal Gibbs Free Energy, Pressure and Fugacity using this online evaluator? To use this online evaluator for Temperature using Gibbs Free Energy, Ideal Gibbs Free Energy, Pressure and Fugacity, enter Gibbs Free Energy (G), Ideal Gas Gibbs Free Energy (Gig), Fugacity (f) & Pressure (P) and hit the calculate button.

FAQs on Temperature using Gibbs Free Energy, Ideal Gibbs Free Energy, Pressure and Fugacity

What is the formula to find Temperature using Gibbs Free Energy, Ideal Gibbs Free Energy, Pressure and Fugacity?
The formula of Temperature using Gibbs Free Energy, Ideal Gibbs Free Energy, Pressure and Fugacity is expressed as Temperature = modulus((Gibbs Free Energy-Ideal Gas Gibbs Free Energy)/([R]*ln(Fugacity/Pressure))). Here is an example- 17.09518 = modulus((228.61-95)/([R]*ln(15/38.4))).
How to calculate Temperature using Gibbs Free Energy, Ideal Gibbs Free Energy, Pressure and Fugacity?
With Gibbs Free Energy (G), Ideal Gas Gibbs Free Energy (Gig), Fugacity (f) & Pressure (P) we can find Temperature using Gibbs Free Energy, Ideal Gibbs Free Energy, Pressure and Fugacity using the formula - Temperature = modulus((Gibbs Free Energy-Ideal Gas Gibbs Free Energy)/([R]*ln(Fugacity/Pressure))). 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)))OpenImg
  • Temperature=Residual Gibbs Free Energy/([R]*ln(Fugacity/Pressure))OpenImg
  • Temperature=modulus((Gibbs Free Energy-Ideal Gas Gibbs Free Energy)/([R]*ln(Fugacity Coefficient)))OpenImg
Can the Temperature using Gibbs Free Energy, Ideal Gibbs Free Energy, Pressure and Fugacity be negative?
Yes, the Temperature using Gibbs Free Energy, Ideal Gibbs Free Energy, Pressure and Fugacity, measured in Temperature can be negative.
Which unit is used to measure Temperature using Gibbs Free Energy, Ideal Gibbs Free Energy, Pressure and Fugacity?
Temperature using Gibbs Free Energy, Ideal Gibbs Free Energy, Pressure 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 Gibbs Free Energy, Ideal Gibbs Free Energy, Pressure and Fugacity can be measured.
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