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Actual Temperature given Peng Robinson Parameter a, and other Actual and Reduced 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 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 r \cdot (\sqrt{\frac{a PR \cdot (\frac{p}{P r})}{0.45724 \cdot ({[R]}^{2})}})

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

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

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

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

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

2624.2791 = 10 \cdot (\sqrt{\frac{0.1 \cdot (\frac{800}{3.7E-5})}{0.45724 \cdot ({8.3145}^{2})}})

2624.2791K = 10 \cdot (\sqrt{\frac{0.1 \cdot (\frac{800Pa}{3.7E-5})}{0.45724 \cdot ({8.3145}^{2})}})

2624.2791 = 10 \cdot (\sqrt{\frac{0.1 \cdot (\frac{800}{3.7E-5})}{0.45724 \cdot ({8.3145}^{2})}})

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

T = 10 \cdot (\sqrt{\frac{0.1 \cdot (\frac{800Pa}{3.7E-5})}{0.45724 \cdot ({[R]}^{2})}})

Next Step Substitute values of Constants

∴

T = 10 \cdot (\sqrt{\frac{0.1 \cdot (\frac{800Pa}{3.7E-5})}{0.45724 \cdot ({8.3145}^{2})}})

Next Step Prepare to Evaluate

∴

T = 10 \cdot (\sqrt{\frac{0.1 \cdot (\frac{800}{3.7E-5})}{0.45724 \cdot ({8.3145}^{2})}})

Next Step Evaluate

∴

T = 2624.27914226618K

LAST Step Rounding Answer

∴

T = 2624.2791K

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

Pressure

Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.

Symbol: p

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Pressure

Reduced Pressure

Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless.

Symbol: P_r

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Reduced 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 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 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 Actual and Reduced Parameters?

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

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

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

The formula of Actual Temperature given Peng Robinson Parameter a, and other Actual and Reduced Parameters is expressed as Temperature = Reduced Temperature*(sqrt((Peng–Robinson Parameter a*(Pressure/Reduced Pressure))/(0.45724*([R]^2)))). Here is an example- 2624.279 = 10*(sqrt((0.1*(800/3.675E-05))/(0.45724*([R]^2)))).

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

With Reduced Temperature (T_r), Peng–Robinson Parameter a (a_PR), Pressure (p) & Reduced Pressure (P_r) we can find Actual Temperature given Peng Robinson Parameter a, and other Actual and Reduced Parameters using the formula - Temperature = Reduced Temperature*(sqrt((Peng–Robinson Parameter a*(Pressure/Reduced 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*Critical 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 Actual and Reduced Parameters be negative?

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

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

Actual Temperature given Peng Robinson Parameter a, and other Actual and Reduced 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 Actual and Reduced Parameters can be measured.

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

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

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

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

Other Formulas to find Temperature

Other formulas in Peng Robinson Model of Real Gas category

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

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

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