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

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

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

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

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

T - Temperature?T_r - Reduced Temperature?a_PR - Peng–Robinson Parameter a?P_c - Critical Pressure?[R] - Universal gas constant?

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

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Here is how the Actual Temperature given Peng Robinson Parameter a, and other Reduced and Critical Parameters equation looks like with Values.

Here is how the Actual Temperature given Peng Robinson Parameter a, and other Reduced and Critical Parameters equation looks like with Units.

Here is how the Actual Temperature given Peng Robinson Parameter a, and other Reduced and Critical Parameters equation looks like.

8.3047 = 10 \cdot (\sqrt{\frac{0.1 \cdot 218}{0.45724 \cdot ({8.3145}^{2})}})

8.3047K = 10 \cdot (\sqrt{\frac{0.1 \cdot 218Pa}{0.45724 \cdot ({8.3145}^{2})}})

8.3047 = 10 \cdot (\sqrt{\frac{0.1 \cdot 218}{0.45724 \cdot ({8.3145}^{2})}})

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

Follow our step by step solution on how to calculate Actual Temperature given Peng Robinson Parameter a, and other Reduced and Critical Parameters?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

T = 10 \cdot (\sqrt{\frac{0.1 \cdot 218Pa}{0.45724 \cdot ({[R]}^{2})}})

Next Step Substitute values of Constants

∴

T = 10 \cdot (\sqrt{\frac{0.1 \cdot 218Pa}{0.45724 \cdot ({8.3145}^{2})}})

Next Step Prepare to Evaluate

∴

T = 10 \cdot (\sqrt{\frac{0.1 \cdot 218}{0.45724 \cdot ({8.3145}^{2})}})

Next Step Evaluate

∴

T = 8.30466185373888K

LAST Step Rounding Answer

∴

T = 8.3047K

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

Variables

Constants

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

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

Peng–Robinson Parameter a

Peng–Robinson parameter a is an empirical parameter characteristic to equation obtained from Peng–Robinson model of real gas.

Symbol: a_PR

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Peng–Robinson Parameter a

Critical Pressure

Critical Pressure is the minimum pressure required to liquify a substance at the critical temperature.

Symbol: P_c

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Critical Pressure

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

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 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]})

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

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

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 given Peng Robinson Parameter a, and other Reduced and Critical Parameters?

Actual Temperature given Peng Robinson Parameter a, and other Reduced and Critical Parameters evaluator uses Temperature = Reduced Temperature*(sqrt((Peng–Robinson Parameter a*Critical Pressure)/(0.45724*([R]^2)))) to evaluate the Temperature, The Actual Temperature given Peng Robinson Parameter a, and other Reduced and Critical Parameters 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 given Peng Robinson Parameter a, and other Reduced and Critical Parameters using this online evaluator? To use this online evaluator for Actual Temperature given Peng Robinson Parameter a, and other Reduced and Critical Parameters, enter Reduced Temperature (T_r), Peng–Robinson Parameter a (a_PR) & Critical Pressure (P_c) and hit the calculate button.

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

What is the formula to find Actual Temperature given Peng Robinson Parameter a, and other Reduced and Critical Parameters?

The formula of Actual Temperature given Peng Robinson Parameter a, and other Reduced and Critical Parameters is expressed as Temperature = Reduced Temperature*(sqrt((Peng–Robinson Parameter a*Critical Pressure)/(0.45724*([R]^2)))). Here is an example- 8.304662 = 10*(sqrt((0.1*218)/(0.45724*([R]^2)))).

How to calculate Actual Temperature given Peng Robinson Parameter a, and other Reduced and Critical Parameters?

With Reduced Temperature (T_r), Peng–Robinson Parameter a (a_PR) & Critical Pressure (P_c) we can find Actual Temperature given Peng Robinson Parameter a, and other Reduced and Critical Parameters using the formula - Temperature = Reduced Temperature*(sqrt((Peng–Robinson Parameter a*Critical Pressure)/(0.45724*([R]^2)))). This formula also uses Universal gas constant and Square Root (sqrt) 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*(Pressure/Reduced Pressure))/(0.45724*([R]^2))))
Temperature=Reduced Temperature*((Peng–Robinson Parameter b*(Pressure/Reduced Pressure))/(0.07780*[R]))

Can the Actual Temperature given Peng Robinson Parameter a, and other Reduced and Critical Parameters be negative?

Yes, the Actual Temperature given Peng Robinson Parameter a, and other Reduced and Critical Parameters, measured in Temperature can be negative.

Which unit is used to measure Actual Temperature given Peng Robinson Parameter a, and other Reduced and Critical Parameters?

Actual Temperature given Peng Robinson Parameter a, and other Reduced and Critical Parameters is usually measured using the Kelvin[K] for Temperature. Celsius[K], Fahrenheit[K], Rankine[K] are the few other units in which Actual Temperature given Peng Robinson Parameter a, and other Reduced and Critical Parameters can be measured.

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