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

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

GoCritical Temperature given Peng Robinson Parameter b and other Actual and Reduced Parameters Formula

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Critical Temperature is the highest temperature at which the substance can exist as a liquid. At this phase boundaries vanish, and the substance can exist both as a liquid and vapor. Check FAQs

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

T_c - Critical Temperature?T - Temperature?α - α-function?k - Pure Component Parameter?

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

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

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

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

101.0488 = \frac{85}{{(1 - (\frac{\sqrt{2} - 1}{5}))}^{2}}

101.0488K = \frac{85K}{{(1 - (\frac{\sqrt{2} - 1}{5}))}^{2}}

101.0488 = \frac{85}{{(1 - (\frac{\sqrt{2} - 1}{5}))}^{2}}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

T c = \frac{85K}{{(1 - (\frac{\sqrt{2} - 1}{5}))}^{2}}

Next Step Prepare to Evaluate

∴

T c = \frac{85}{{(1 - (\frac{\sqrt{2} - 1}{5}))}^{2}}

Next Step Evaluate

∴

T c = 101.048828581759K

LAST Step Rounding Answer

∴

T c = 101.0488K

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

Variables

Functions

Critical Temperature

Critical Temperature is the highest temperature at which the substance can exist as a liquid. At this phase boundaries vanish, and the substance can exist both as a liquid and vapor.

Symbol: T_c

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Formulas to find Critical Temperature

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

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 Critical Temperature

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

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

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

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

Go Critical Temperature of Real Gas using Peng Robinson Equation given Peng Robinson Parameter a

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

Go Critical Temperature of Real Gas using Peng Robinson Equation given Peng Robinson Parameter b

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

Other formulas in Critical Temperature category

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

T real = \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 r}

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

Critical Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter evaluator uses Critical Temperature = Temperature/((1-((sqrt(α-function)-1)/Pure Component Parameter))^2) to evaluate the Critical Temperature, The Critical Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter formula is defined as the highest temperature at which the substance can exist as a liquid. Critical Temperature is denoted by T_c symbol.

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

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

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

The formula of Critical Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter is expressed as Critical Temperature = Temperature/((1-((sqrt(α-function)-1)/Pure Component Parameter))^2). Here is an example- 101.0488 = 85/((1-((sqrt(2)-1)/5))^2).

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

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

What are the other ways to Calculate Critical Temperature?

Here are the different ways to Calculate Critical Temperature-

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

Can the Critical Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter be negative?

No, the Critical Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter, measured in Temperature cannot be negative.

Which unit is used to measure Critical Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter?

Critical Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter is usually measured using the Kelvin[K] for Temperature. Celsius[K], Fahrenheit[K], Rankine[K] are the few other units in which Critical Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter can be measured.

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

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

​GoCritical Temperature given Peng Robinson Parameter b and other Actual and Reduced Parameters Formula

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

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

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

Other Formulas to find Critical Temperature

Other formulas in Critical Temperature category

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

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

Variable Name

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

GoCritical Temperature given Peng Robinson Parameter b and other Actual and Reduced Parameters Formula