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

GoTemperature of Real Gas using Peng Robinson Equation given Reduced and Critical Parameters Formula

GoActual Temperature given Peng Robinson Parameter a, and other Reduced and Critical Parameters Formula

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Temperature is the degree or intensity of heat present in a substance or object. Check FAQs

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

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

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

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

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

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

544.2418 = 647 \cdot ({(1 - (\frac{\sqrt{2} - 1}{5}))}^{2})

544.2418K = 647K \cdot ({(1 - (\frac{\sqrt{2} - 1}{5}))}^{2})

544.2418 = 647 \cdot ({(1 - (\frac{\sqrt{2} - 1}{5}))}^{2})

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

T = 647K \cdot ({(1 - (\frac{\sqrt{2} - 1}{5}))}^{2})

Next Step Prepare to Evaluate

∴

T = 647 \cdot ({(1 - (\frac{\sqrt{2} - 1}{5}))}^{2})

Next Step Evaluate

∴

T = 544.241836069412K

LAST Step Rounding Answer

∴

T = 544.2418K

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

Variables

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.

Formulas to find Temperature

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

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 Temperature

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]})

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

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

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

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

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

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

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 Peng Robinson Alpha-Function using Peng Robinson Equation

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

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

Actual Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter evaluator uses Temperature = Critical Temperature*((1-((sqrt(α-function)-1)/Pure Component Parameter))^2) to evaluate the Temperature, The Actual Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter formula is defined as the degree or intensity of heat present in the volume of real gas. Temperature is denoted by T symbol.

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

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

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

The formula of Actual Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter is expressed as Temperature = Critical Temperature*((1-((sqrt(α-function)-1)/Pure Component Parameter))^2). Here is an example- 544.2418 = 647*((1-((sqrt(2)-1)/5))^2).

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

With Critical Temperature (T_c), α-function (α) & Pure Component Parameter (k) we can find Actual Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter using the formula - Temperature = Critical 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 Temperature?

Here are the different ways to Calculate Temperature-

Temperature=((Reduced Pressure*Critical Pressure)+(((Peng–Robinson Parameter a*α-function)/(((Reduced Molar Volume*Critical Molar Volume)^2)+(2*Peng–Robinson Parameter b*(Reduced Molar Volume*Critical Molar Volume))-(Peng–Robinson Parameter b^2)))))*(((Reduced Molar Volume*Critical Molar Volume)-Peng–Robinson Parameter b)/[R])
Temperature=Reduced Temperature*(sqrt((Peng–Robinson Parameter a*Critical Pressure)/(0.45724*([R]^2))))
Temperature=Reduced Temperature*(sqrt((Peng–Robinson Parameter a*(Pressure/Reduced Pressure))/(0.45724*([R]^2))))

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

Yes, the Actual Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter, measured in Temperature can be negative.

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

Actual 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 Actual Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter can be measured.

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

​GoTemperature of Real Gas using Peng Robinson Equation given Reduced and Critical Parameters Formula

​GoActual Temperature given Peng Robinson Parameter a, and other Reduced and Critical Parameters Formula

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

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

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

Other Formulas to find Temperature

Other formulas in Peng Robinson Model of Real Gas category

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

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

Variable Name

GoTemperature of Real Gas using Peng Robinson Equation given Reduced and Critical Parameters Formula

GoActual Temperature given Peng Robinson Parameter a, and other Reduced and Critical Parameters Formula