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Peng Robinson Parameter a, using Peng Robinson Equation Formula

GoPeng Robinson Parameter a, of Real Gas given Critical Parameters Formula

GoPeng Robinson parameter a, of Real Gas given Reduced and Actual Parameters Formula

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

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

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

Peng Robinson Parameter a, using Peng Robinson Equation Example

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Here is how the Peng Robinson Parameter a, using Peng Robinson Equation equation looks like with Values.

Here is how the Peng Robinson Parameter a, using Peng Robinson Equation equation looks like with Units.

Here is how the Peng Robinson Parameter a, using Peng Robinson Equation equation looks like.

-194805.6035 = ((\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})}{2}

-194805.6035 = ((\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})}{2}

-194805.6035 = ((\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})}{2}

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Peng Robinson Parameter a, using Peng Robinson Equation Solution

Follow our step by step solution on how to calculate Peng Robinson Parameter a, using Peng Robinson Equation?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

a PR = ((\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})}{2}

Next Step Substitute values of Constants

∴

a PR = ((\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})}{2}

Next Step Prepare to Evaluate

∴

a PR = ((\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})}{2}

Next Step Evaluate

∴

a PR = -194805.603536469

LAST Step Rounding Answer

∴

a PR = -194805.6035

Peng Robinson Parameter a, using Peng Robinson Equation Formula Elements

Variables

Constants

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

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

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

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 Peng–Robinson Parameter a

Go Peng Robinson Parameter a, of Real Gas given Critical Parameters

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

Go Peng Robinson parameter a, of Real Gas given Reduced and Actual Parameters

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

Go Peng Robinson Parameter a, using Peng Robinson Equation given Reduced and Critical Parameters

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

Other formulas in Peng Robinson Parameter category

Go Peng Robinson Parameter b of Real Gas given Reduced and Actual Parameters

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

Go Peng Robinson Parameter b of Real Gas given Critical Parameters

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

How to Evaluate Peng Robinson Parameter a, using Peng Robinson Equation?

Peng Robinson Parameter a, using Peng Robinson Equation evaluator uses Peng–Robinson Parameter a = ((([R]*Temperature)/(Molar Volume-Peng–Robinson Parameter b))-Pressure)*((Molar Volume^2)+(2*Peng–Robinson Parameter b*Molar Volume)-(Peng–Robinson Parameter b^2))/α-function to evaluate the Peng–Robinson Parameter a, The Peng Robinson Parameter a, using Peng Robinson Equation formula is defined as an empirical parameter characteristic to equation obtained from Peng–Robinson model of real gas. Peng–Robinson Parameter a is denoted by a_PR symbol.

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

FAQs on Peng Robinson Parameter a, using Peng Robinson Equation

What is the formula to find Peng Robinson Parameter a, using Peng Robinson Equation?

The formula of Peng Robinson Parameter a, using Peng Robinson Equation is expressed as Peng–Robinson Parameter a = ((([R]*Temperature)/(Molar Volume-Peng–Robinson Parameter b))-Pressure)*((Molar Volume^2)+(2*Peng–Robinson Parameter b*Molar Volume)-(Peng–Robinson Parameter b^2))/α-function. Here is an example- -196143.339405 = ((([R]*85)/(22.4-0.12))-800)*((22.4^2)+(2*0.12*22.4)-(0.12^2))/2.

How to calculate Peng Robinson Parameter a, using Peng Robinson Equation?

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

What are the other ways to Calculate Peng–Robinson Parameter a?

Here are the different ways to Calculate Peng–Robinson Parameter a-

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

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Peng Robinson Parameter a, using Peng Robinson Equation Formula

​GoPeng Robinson Parameter a, of Real Gas given Critical Parameters Formula

​GoPeng Robinson parameter a, of Real Gas given Reduced and Actual Parameters Formula

Peng Robinson Parameter a, using Peng Robinson Equation Example

Peng Robinson Parameter a, using Peng Robinson Equation Solution

Peng Robinson Parameter a, using Peng Robinson Equation Formula Elements

Other Formulas to find Peng–Robinson Parameter a

Other formulas in Peng Robinson Parameter category

How to Evaluate Peng Robinson Parameter a, using Peng Robinson Equation?

FAQs on Peng Robinson Parameter a, using Peng Robinson Equation

Variable Name

GoPeng Robinson Parameter a, of Real Gas given Critical Parameters Formula

GoPeng Robinson parameter a, of Real Gas given Reduced and Actual Parameters Formula