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

a_PR - Peng–Robinson Parameter a?T_c - Critical Temperature?T_r - Reduced Temperature?V_m,r - Reduced Molar Volume?V_m,c - Critical Molar Volume?b_PR - Peng–Robinson Parameter b?P_r - Reduced Pressure?P_c - Critical Pressure?α - α-function?[R] - Universal gas constant?

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

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

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

Here is how the Peng Robinson Parameter a, using Peng Robinson Equation given Reduced and Critical Parameters equation looks like.

3.5E+6 = ((\frac{8.3145 \cdot (647 \cdot 10)}{(11.2 \cdot 11.5) - 0.12}) - (3.7E-5 \cdot 218)) \cdot \frac{({(11.2 \cdot 11.5)}^{2}) + (2 \cdot 0.12 \cdot (11.2 \cdot 11.5)) - ({0.12}^{2})}{2}

3.5E+6 = ((\frac{8.3145 \cdot (647K \cdot 10)}{(11.2 \cdot 11.5m³/mol) - 0.12}) - (3.7E-5 \cdot 218Pa)) \cdot \frac{({(11.2 \cdot 11.5m³/mol)}^{2}) + (2 \cdot 0.12 \cdot (11.2 \cdot 11.5m³/mol)) - ({0.12}^{2})}{2}

3.5E+6 = ((\frac{8.3145 \cdot (647 \cdot 10)}{(11.2 \cdot 11.5) - 0.12}) - (3.7E-5 \cdot 218)) \cdot \frac{({(11.2 \cdot 11.5)}^{2}) + (2 \cdot 0.12 \cdot (11.2 \cdot 11.5)) - ({0.12}^{2})}{2}

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

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

FIRST Step Consider the formula

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}

Next Step Substitute values of Variables

∴

a PR = ((\frac{[R] \cdot (647K \cdot 10)}{(11.2 \cdot 11.5m³/mol) - 0.12}) - (3.7E-5 \cdot 218Pa)) \cdot \frac{({(11.2 \cdot 11.5m³/mol)}^{2}) + (2 \cdot 0.12 \cdot (11.2 \cdot 11.5m³/mol)) - ({0.12}^{2})}{2}

Next Step Substitute values of Constants

∴

a PR = ((\frac{8.3145 \cdot (647K \cdot 10)}{(11.2 \cdot 11.5m³/mol) - 0.12}) - (3.7E-5 \cdot 218Pa)) \cdot \frac{({(11.2 \cdot 11.5m³/mol)}^{2}) + (2 \cdot 0.12 \cdot (11.2 \cdot 11.5m³/mol)) - ({0.12}^{2})}{2}

Next Step Prepare to Evaluate

∴

a PR = ((\frac{8.3145 \cdot (647 \cdot 10)}{(11.2 \cdot 11.5) - 0.12}) - (3.7E-5 \cdot 218)) \cdot \frac{({(11.2 \cdot 11.5)}^{2}) + (2 \cdot 0.12 \cdot (11.2 \cdot 11.5)) - ({0.12}^{2})}{2}

Next Step Evaluate

∴

a PR = 3473992.97633715

LAST Step Rounding Answer

∴

a PR = 3.5E+6

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

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

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

Reduced Molar Volume

Reduced Molar Volume of a fluid is computed from the ideal gas law at the substance's critical pressure and temperature per mole.

Symbol: V_m,r

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Reduced Molar Volume

Critical Molar Volume

Critical Molar Volume is the volume occupied by gas at critical temperature and pressure per mole.

Symbol: V_m,c

Measurement: Molar Magnetic SusceptibilityUnit: m³/mol

Note: Value can be positive or negative.

Formulas to find Critical 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

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

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

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}}

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 given Reduced and Critical Parameters?

Peng Robinson Parameter a, using Peng Robinson Equation given Reduced and Critical Parameters evaluator uses 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 to evaluate the Peng–Robinson Parameter a, The Peng Robinson Parameter a, using Peng Robinson Equation given Reduced and Critical Parameters 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 given Reduced and Critical Parameters using this online evaluator? To use this online evaluator for Peng Robinson Parameter a, using Peng Robinson Equation given Reduced and Critical Parameters, enter Critical Temperature (T_c), Reduced Temperature (T_r), Reduced Molar Volume (V_m,r), Critical Molar Volume (V_m,c), Peng–Robinson Parameter b (b_PR), Reduced Pressure (P_r), Critical Pressure (P_c) & α-function (α) and hit the calculate button.

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

What is the formula to find Peng Robinson Parameter a, using Peng Robinson Equation given Reduced and Critical Parameters?

The formula of Peng Robinson Parameter a, using Peng Robinson Equation given Reduced and Critical Parameters is expressed as 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. Here is an example- 3.5E+6 = ((([R]*(647*10))/((11.2*11.5)-0.12))-(3.675E-05*218))*(((11.2*11.5)^2)+(2*0.12*(11.2*11.5))-(0.12^2))/2.

How to calculate Peng Robinson Parameter a, using Peng Robinson Equation given Reduced and Critical Parameters?

With Critical Temperature (T_c), Reduced Temperature (T_r), Reduced Molar Volume (V_m,r), Critical Molar Volume (V_m,c), Peng–Robinson Parameter b (b_PR), Reduced Pressure (P_r), Critical Pressure (P_c) & α-function (α) we can find Peng Robinson Parameter a, using Peng Robinson Equation given Reduced and Critical Parameters using the formula - 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. 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]*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

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

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

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

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

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