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Pure Component Factor for Peng Robinson Equation of state using Reduced Temperature Formula

GoPure Component Factor for Peng Robinson Equation of state using Critical and Actual Temperature Formula

GoPure Component Factor for Peng Robinson Equation of state using Acentric Factor Formula

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Pure Component Parameter is a function of the acentric factor. Check FAQs

k = \frac{\sqrt{α} - 1}{1 - \sqrt{T r}}

k - Pure Component Parameter?α - α-function?T_r - Reduced Temperature?

Pure Component Factor for Peng Robinson Equation of state using Reduced Temperature Example

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Here is how the Pure Component Factor for Peng Robinson Equation of state using Reduced Temperature equation looks like with Values.

Here is how the Pure Component Factor for Peng Robinson Equation of state using Reduced Temperature equation looks like with Units.

Here is how the Pure Component Factor for Peng Robinson Equation of state using Reduced Temperature equation looks like.

-0.1916 = \frac{\sqrt{2} - 1}{1 - \sqrt{10}}

-0.1916 = \frac{\sqrt{2} - 1}{1 - \sqrt{10}}

-0.1916 = \frac{\sqrt{2} - 1}{1 - \sqrt{10}}

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Real Gas » fx Pure Component Factor for Peng Robinson Equation of state using Reduced Temperature

Pure Component Factor for Peng Robinson Equation of state using Reduced Temperature Solution

Follow our step by step solution on how to calculate Pure Component Factor for Peng Robinson Equation of state using Reduced Temperature?

FIRST Step Consider the formula

k = \frac{\sqrt{α} - 1}{1 - \sqrt{T r}}

Next Step Substitute values of Variables

∴

k = \frac{\sqrt{2} - 1}{1 - \sqrt{10}}

Next Step Prepare to Evaluate

∴

k = \frac{\sqrt{2} - 1}{1 - \sqrt{10}}

Next Step Evaluate

∴

k = -0.191563539689366

LAST Step Rounding Answer

∴

k = -0.1916

Pure Component Factor for Peng Robinson Equation of state using Reduced Temperature Formula Elements

Variables

Functions

Pure Component Parameter

Pure Component Parameter is a function of the acentric factor.

Symbol: k

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Pure Component Parameter

α-function

α-function is a function of temperature and the acentric factor.

Symbol: α

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find α-function

Reduced Temperature

Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless.

Symbol: T_r

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Reduced Temperature

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Pure Component Parameter

Go Pure Component Factor for Peng Robinson Equation of state using Critical and Actual Temperature

k = \frac{\sqrt{α} - 1}{1 - \sqrt{\frac{T}{T c}}}

Go Pure Component Factor for Peng Robinson Equation of state using Acentric Factor

k = 0.37464 + (1.54226 \cdot ω) - (0.26992 \cdot ω \cdot ω)

Other formulas in Peng Robinson Model of Real Gas category

Go Pressure of Real Gas using Peng Robinson Equation

p = (\frac{[R] \cdot T}{V m - b PR}) - (\frac{a PR \cdot α}{({V m}^{2}) + (2 \cdot b PR \cdot V m) - ({b PR}^{2})})

Go Pressure of Real Gas using Peng Robinson Equation given Reduced and Critical Parameters

p = (\frac{[R] \cdot (T r \cdot T c)}{(V m,r \cdot V m,c) - b PR}) - (\frac{a PR \cdot α}{({(V m,r \cdot V m,c)}^{2}) + (2 \cdot b PR \cdot (V m,r \cdot V m,c)) - ({b PR}^{2})})

Go Temperature of Real Gas using Peng Robinson Equation

T CE = (p + ((\frac{a PR \cdot α}{({V m}^{2}) + (2 \cdot b PR \cdot V m) - ({b PR}^{2})}))) \cdot (\frac{V m - b PR}{[R]})

Go Temperature of Real Gas using Peng Robinson Equation given Reduced and Critical Parameters

T = ((P r \cdot P c) + ((\frac{a PR \cdot α}{({(V m,r \cdot V m,c)}^{2}) + (2 \cdot b PR \cdot (V m,r \cdot V m,c)) - ({b PR}^{2})}))) \cdot (\frac{(V m,r \cdot V m,c) - b PR}{[R]})

How to Evaluate Pure Component Factor for Peng Robinson Equation of state using Reduced Temperature?

Pure Component Factor for Peng Robinson Equation of state using Reduced Temperature evaluator uses Pure Component Parameter = (sqrt(α-function)-1)/(1-sqrt(Reduced Temperature)) to evaluate the Pure Component Parameter, The Pure Component Factor for Peng Robinson Equation of state using Reduced Temperature formula is defined as a function of the acentric factor. Pure Component Parameter is denoted by k symbol.

How to evaluate Pure Component Factor for Peng Robinson Equation of state using Reduced Temperature using this online evaluator? To use this online evaluator for Pure Component Factor for Peng Robinson Equation of state using Reduced Temperature, enter α-function (α) & Reduced Temperature (T_r) and hit the calculate button.

FAQs on Pure Component Factor for Peng Robinson Equation of state using Reduced Temperature

What is the formula to find Pure Component Factor for Peng Robinson Equation of state using Reduced Temperature?

The formula of Pure Component Factor for Peng Robinson Equation of state using Reduced Temperature is expressed as Pure Component Parameter = (sqrt(α-function)-1)/(1-sqrt(Reduced Temperature)). Here is an example- -0.191564 = (sqrt(2)-1)/(1-sqrt(10)).

How to calculate Pure Component Factor for Peng Robinson Equation of state using Reduced Temperature?

With α-function (α) & Reduced Temperature (T_r) we can find Pure Component Factor for Peng Robinson Equation of state using Reduced Temperature using the formula - Pure Component Parameter = (sqrt(α-function)-1)/(1-sqrt(Reduced Temperature)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Pure Component Parameter?

Here are the different ways to Calculate Pure Component Parameter-

Pure Component Parameter=(sqrt(α-function)-1)/(1-sqrt(Temperature/Critical Temperature))
Pure Component Parameter=0.37464+(1.54226*Acentric Factor)-(0.26992*Acentric Factor*Acentric Factor)

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Pure Component Factor for Peng Robinson Equation of state using Reduced Temperature Formula

​GoPure Component Factor for Peng Robinson Equation of state using Critical and Actual Temperature Formula

​GoPure Component Factor for Peng Robinson Equation of state using Acentric Factor Formula

Pure Component Factor for Peng Robinson Equation of state using Reduced Temperature Example

Pure Component Factor for Peng Robinson Equation of state using Reduced Temperature Solution

Pure Component Factor for Peng Robinson Equation of state using Reduced Temperature Formula Elements

Other Formulas to find Pure Component Parameter

Other formulas in Peng Robinson Model of Real Gas category

How to Evaluate Pure Component Factor for Peng Robinson Equation of state using Reduced Temperature?

FAQs on Pure Component Factor for Peng Robinson Equation of state using Reduced Temperature

Variable Name

GoPure Component Factor for Peng Robinson Equation of state using Critical and Actual Temperature Formula

GoPure Component Factor for Peng Robinson Equation of state using Acentric Factor Formula