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Pressure using Residual Gibbs Free Energy and Fugacity Formula

GoPressure using Gibbs Free Energy, Ideal Gibbs Free Energy and Fugacity Formula

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

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

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

Pressure using Residual Gibbs Free Energy and Fugacity Example

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

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

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

14.5849 = \frac{15}{\exp (\frac{105}{8.3145 \cdot 450})}

14.5849Pa = \frac{15Pa}{\exp (\frac{105J}{8.3145 \cdot 450K})}

14.5849 = \frac{15}{\exp (\frac{105}{8.3145 \cdot 450})}

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Pressure using Residual Gibbs Free Energy and Fugacity Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P = \frac{15Pa}{\exp (\frac{105J}{[R] \cdot 450K})}

Next Step Substitute values of Constants

∴

P = \frac{15Pa}{\exp (\frac{105J}{8.3145 \cdot 450K})}

Next Step Prepare to Evaluate

∴

P = \frac{15}{\exp (\frac{105}{8.3145 \cdot 450})}

Next Step Evaluate

∴

P = 14.5848986094076Pa

LAST Step Rounding Answer

∴

P = 14.5849Pa

Pressure using Residual Gibbs Free Energy and Fugacity Formula Elements

Variables

Constants

Functions

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

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

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

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

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

exp

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

Syntax: exp(Number)

Other Formulas to find Pressure

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

P = \frac{f}{\exp (\frac{G - G ig}{[R] \cdot T})}

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 Temperature using Residual Gibbs Free Energy and Fugacity Coefficient

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

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

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

How to evaluate Pressure using Residual Gibbs Free Energy and Fugacity using this online evaluator? To use this online evaluator for Pressure using Residual Gibbs Free Energy and Fugacity, enter Fugacity (f), Residual Gibbs Free Energy (G^R) & Temperature (T) and hit the calculate button.

FAQs on Pressure using Residual Gibbs Free Energy and Fugacity

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

The formula of Pressure using Residual Gibbs Free Energy and Fugacity is expressed as Pressure = Fugacity/exp(Residual Gibbs Free Energy/([R]*Temperature)). Here is an example- 14.5849 = 15/exp(105/([R]*450)).

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

With Fugacity (f), Residual Gibbs Free Energy (G^R) & Temperature (T) we can find Pressure using Residual Gibbs Free Energy and Fugacity using the formula - Pressure = Fugacity/exp(Residual Gibbs Free Energy/([R]*Temperature)). This formula also uses Universal gas constant and Exponential Growth (exp) function(s).

What are the other ways to Calculate Pressure?

Here are the different ways to Calculate Pressure-

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

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

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

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

Pressure using Residual Gibbs Free Energy and Fugacity is usually measured using the Pascal[Pa] for Pressure. Kilopascal[Pa], Bar[Pa], Pound Per Square Inch[Pa] are the few other units in which Pressure using Residual Gibbs Free Energy and Fugacity can be measured.

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Pressure using Residual Gibbs Free Energy and Fugacity Formula

​GoPressure using Gibbs Free Energy, Ideal Gibbs Free Energy and Fugacity Formula

Pressure using Residual Gibbs Free Energy and Fugacity Example

Pressure using Residual Gibbs Free Energy and Fugacity Solution

Pressure using Residual Gibbs Free Energy and Fugacity Formula Elements

Other Formulas to find Pressure

Other formulas in Fugacity and Fugacity Coefficient category

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

FAQs on Pressure using Residual Gibbs Free Energy and Fugacity

Variable Name

GoPressure using Gibbs Free Energy, Ideal Gibbs Free Energy and Fugacity Formula