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Peng Robinson Alpha-Function using Peng Robinson Equation Formula

GoPeng Robinson Alpha-Function using Peng Robinson Equation given Reduced and Critical Parameters Formula

GoAlpha-function for Peng Robinson Equation of state given Reduced Temperature Formula

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α-function is a function of temperature and the acentric factor. Check FAQs

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}

α - α-function?T - Temperature?V_m - Molar Volume?b_PR - Peng–Robinson Parameter b?p - Pressure?a_PR - Peng–Robinson Parameter a?[R] - Universal gas constant?

Peng Robinson Alpha-Function using Peng Robinson Equation Example

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Here is how the Peng Robinson Alpha-Function using Peng Robinson Equation equation looks like with Values.

Here is how the Peng Robinson Alpha-Function using Peng Robinson Equation equation looks like with Units.

Here is how the Peng Robinson Alpha-Function using Peng Robinson Equation equation looks like.

-3896112.0707 = ((\frac{8.3145 \cdot 85}{22.4 - 0.12}) - 800) \cdot \frac{({22.4}^{2}) + (2 \cdot 0.12 \cdot 22.4) - ({0.12}^{2})}{0.1}

-3896112.0707 = ((\frac{8.3145 \cdot 85K}{22.4m³/mol - 0.12}) - 800Pa) \cdot \frac{({22.4m³/mol}^{2}) + (2 \cdot 0.12 \cdot 22.4m³/mol) - ({0.12}^{2})}{0.1}

-3896112.0707 = ((\frac{8.3145 \cdot 85}{22.4 - 0.12}) - 800) \cdot \frac{({22.4}^{2}) + (2 \cdot 0.12 \cdot 22.4) - ({0.12}^{2})}{0.1}

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Peng Robinson Alpha-Function using Peng Robinson Equation Solution

Follow our step by step solution on how to calculate Peng Robinson Alpha-Function using Peng Robinson Equation?

FIRST Step Consider the formula

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}

Next Step Substitute values of Variables

∴

α = ((\frac{[R] \cdot 85K}{22.4m³/mol - 0.12}) - 800Pa) \cdot \frac{({22.4m³/mol}^{2}) + (2 \cdot 0.12 \cdot 22.4m³/mol) - ({0.12}^{2})}{0.1}

Next Step Substitute values of Constants

∴

α = ((\frac{8.3145 \cdot 85K}{22.4m³/mol - 0.12}) - 800Pa) \cdot \frac{({22.4m³/mol}^{2}) + (2 \cdot 0.12 \cdot 22.4m³/mol) - ({0.12}^{2})}{0.1}

Next Step Prepare to Evaluate

∴

α = ((\frac{8.3145 \cdot 85}{22.4 - 0.12}) - 800) \cdot \frac{({22.4}^{2}) + (2 \cdot 0.12 \cdot 22.4) - ({0.12}^{2})}{0.1}

Next Step Evaluate

∴

α = -3896112.07072938

LAST Step Rounding Answer

∴

α = -3896112.0707

Peng Robinson Alpha-Function using Peng Robinson Equation Formula Elements

Variables

Constants

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

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

Molar Volume

Molar Volume is the volume occupied by one mole of a real gas at standard temperature and pressure.

Symbol: V_m

Measurement: Molar Magnetic SusceptibilityUnit: m³/mol

Note: Value can be positive or negative.

Formulas to find Molar Volume

Peng–Robinson Parameter b

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

Symbol: b_PR

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Peng–Robinson Parameter b

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

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

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

Other Formulas to find α-function

Go Peng Robinson Alpha-Function using Peng Robinson Equation given Reduced and Critical Parameters

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

Go Alpha-function for Peng Robinson Equation of state given Reduced Temperature

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

Go Alpha-function for Peng Robinson Equation of state given Critical and Actual Temperature

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

How to Evaluate Peng Robinson Alpha-Function using Peng Robinson Equation?

Peng Robinson Alpha-Function using Peng Robinson Equation evaluator uses α-function = ((([R]*Temperature)/(Molar Volume-Peng–Robinson Parameter b))-Pressure)*((Molar Volume^2)+(2*Peng–Robinson Parameter b*Molar Volume)-(Peng–Robinson Parameter b^2))/Peng–Robinson Parameter a to evaluate the α-function, The Peng Robinson alpha-function using Peng Robinson equation formula is defined as a function of temperature and the acentric factor. α-function is denoted by α symbol.

How to evaluate Peng Robinson Alpha-Function using Peng Robinson Equation using this online evaluator? To use this online evaluator for Peng Robinson Alpha-Function using Peng Robinson Equation, enter Temperature (T), Molar Volume (V_m), Peng–Robinson Parameter b (b_PR), Pressure (p) & Peng–Robinson Parameter a (a_PR) and hit the calculate button.

FAQs on Peng Robinson Alpha-Function using Peng Robinson Equation

What is the formula to find Peng Robinson Alpha-Function using Peng Robinson Equation?

The formula of Peng Robinson Alpha-Function using Peng Robinson Equation is expressed as α-function = ((([R]*Temperature)/(Molar Volume-Peng–Robinson Parameter b))-Pressure)*((Molar Volume^2)+(2*Peng–Robinson Parameter b*Molar Volume)-(Peng–Robinson Parameter b^2))/Peng–Robinson Parameter a. Here is an example- -3922866.788092 = ((([R]*85)/(22.4-0.12))-800)*((22.4^2)+(2*0.12*22.4)-(0.12^2))/0.1.

How to calculate Peng Robinson Alpha-Function using Peng Robinson Equation?

With Temperature (T), Molar Volume (V_m), Peng–Robinson Parameter b (b_PR), Pressure (p) & Peng–Robinson Parameter a (a_PR) we can find Peng Robinson Alpha-Function using Peng Robinson Equation using the formula - α-function = ((([R]*Temperature)/(Molar Volume-Peng–Robinson Parameter b))-Pressure)*((Molar Volume^2)+(2*Peng–Robinson Parameter b*Molar Volume)-(Peng–Robinson Parameter b^2))/Peng–Robinson Parameter a. This formula also uses Universal gas constant .

What are the other ways to Calculate α-function?

Here are the different ways to Calculate α-function-

α-function=((([R]*(Critical Temperature*Reduced Temperature))/((Critical Molar Volume*Reduced Molar Volume)-Peng–Robinson Parameter b))-(Critical Pressure*Reduced Pressure))*(((Critical Molar Volume*Reduced Molar Volume)^2)+(2*Peng–Robinson Parameter b*(Critical Molar Volume*Reduced Molar Volume))-(Peng–Robinson Parameter b^2))/Peng–Robinson Parameter a
α-function=(1+Pure Component Parameter*(1-sqrt(Reduced Temperature)))^2
α-function=(1+Pure Component Parameter*(1-sqrt(Temperature/Critical Temperature)))^2

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Peng Robinson Alpha-Function using Peng Robinson Equation Formula

​GoPeng Robinson Alpha-Function using Peng Robinson Equation given Reduced and Critical Parameters Formula

​GoAlpha-function for Peng Robinson Equation of state given Reduced Temperature Formula

Peng Robinson Alpha-Function using Peng Robinson Equation Example

Peng Robinson Alpha-Function using Peng Robinson Equation Solution

Peng Robinson Alpha-Function using Peng Robinson Equation Formula Elements

Other Formulas to find α-function

Other formulas in Peng Robinson Model of Real Gas category

How to Evaluate Peng Robinson Alpha-Function using Peng Robinson Equation?

FAQs on Peng Robinson Alpha-Function using Peng Robinson Equation

Variable Name

GoPeng Robinson Alpha-Function using Peng Robinson Equation given Reduced and Critical Parameters Formula

GoAlpha-function for Peng Robinson Equation of state given Reduced Temperature Formula