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Reduced Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter Formula

GoReduced Temperature given Peng Robinson Parameter a, and other Actual and Reduced Parameters Formula

GoReduced Temperature given Peng Robinson Parameter b, other Actual and Critical Parameters Formula

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

T r = {(1 - (\frac{\sqrt{α} - 1}{k}))}^{2}

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

Reduced Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter Example

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Here is how the Reduced Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter equation looks like with Values.

Here is how the Reduced Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter equation looks like with Units.

Here is how the Reduced Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter equation looks like.

0.8412 = {(1 - (\frac{\sqrt{2} - 1}{5}))}^{2}

0.8412 = {(1 - (\frac{\sqrt{2} - 1}{5}))}^{2}

0.8412 = {(1 - (\frac{\sqrt{2} - 1}{5}))}^{2}

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Reduced Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter Solution

Follow our step by step solution on how to calculate Reduced Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter?

FIRST Step Consider the formula

T r = {(1 - (\frac{\sqrt{α} - 1}{k}))}^{2}

Next Step Substitute values of Variables

∴

T r = {(1 - (\frac{\sqrt{2} - 1}{5}))}^{2}

Next Step Prepare to Evaluate

∴

T r = {(1 - (\frac{\sqrt{2} - 1}{5}))}^{2}

Next Step Evaluate

∴

T r = 0.841177490060914

LAST Step Rounding Answer

∴

T r = 0.8412

Reduced Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter Formula Elements

Variables

Functions

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

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

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

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 Reduced Temperature

Go Reduced Temperature given Peng Robinson Parameter a, and other Actual and Reduced Parameters

T r = \frac{T}{\sqrt{\frac{a PR \cdot (\frac{p}{P r})}{0.45724 \cdot ({[R]}^{2})}}}

Go Reduced Temperature given Peng Robinson Parameter b, other Actual and Critical Parameters

T r = \frac{T}{\frac{b PR \cdot P c}{0.07780 \cdot [R]}}

Go Reduced Temperature given Peng Robinson Parameter b, other Actual and Reduced Parameters

T r = \frac{T}{\frac{b PR \cdot (\frac{p}{P r})}{0.07780 \cdot [R]}}

Go Reduced Temperature using Peng Robinson Equation given Critical and Actual Parameters

T r = \frac{(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]})}{T c}

Other formulas in Reduced Temperature category

Go Reduced Temperature given Peng Robinson Parameter a, and other Actual and Critical Parameters

T g = \frac{T}{\sqrt{\frac{a PR \cdot P c}{0.45724 \cdot ({[R]}^{2})}}}

How to Evaluate Reduced Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter?

Reduced Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter evaluator uses Reduced Temperature = (1-((sqrt(α-function)-1)/Pure Component Parameter))^2 to evaluate the Reduced Temperature, The Reduced Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter formula is defined as the actual temperature of the fluid to its critical temperature. It is dimensionless. Reduced Temperature is denoted by T_r symbol.

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

FAQs on Reduced Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter

What is the formula to find Reduced Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter?

The formula of Reduced Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter is expressed as Reduced Temperature = (1-((sqrt(α-function)-1)/Pure Component Parameter))^2. Here is an example- 0.841177 = (1-((sqrt(2)-1)/5))^2.

How to calculate Reduced Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter?

With α-function (α) & Pure Component Parameter (k) we can find Reduced Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter using the formula - Reduced Temperature = (1-((sqrt(α-function)-1)/Pure Component Parameter))^2. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Reduced Temperature?

Here are the different ways to Calculate Reduced Temperature-

Reduced Temperature=Temperature/(sqrt((Peng–Robinson Parameter a*(Pressure/Reduced Pressure))/(0.45724*([R]^2))))
Reduced Temperature=Temperature/((Peng–Robinson Parameter b*Critical Pressure)/(0.07780*[R]))
Reduced Temperature=Temperature/((Peng–Robinson Parameter b*(Pressure/Reduced Pressure))/(0.07780*[R]))

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Reduced Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter Formula

​GoReduced Temperature given Peng Robinson Parameter a, and other Actual and Reduced Parameters Formula

​GoReduced Temperature given Peng Robinson Parameter b, other Actual and Critical Parameters Formula

Reduced Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter Example

Reduced Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter Solution

Reduced Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter Formula Elements

Other Formulas to find Reduced Temperature

Other formulas in Reduced Temperature category

How to Evaluate Reduced Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter?

FAQs on Reduced Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter

Variable Name

GoReduced Temperature given Peng Robinson Parameter a, and other Actual and Reduced Parameters Formula

GoReduced Temperature given Peng Robinson Parameter b, other Actual and Critical Parameters Formula