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Pressure of Real Gas using Peng Robinson Equation Formula

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

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

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

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})})

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

Pressure of Real Gas using Peng Robinson Equation Example

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Here is how the Pressure of Real Gas using Peng Robinson Equation equation looks like with Values.

Here is how the Pressure of Real Gas using Peng Robinson Equation equation looks like with Units.

Here is how the Pressure of Real Gas using Peng Robinson Equation equation looks like.

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

31.72Pa = (\frac{8.3145 \cdot 85K}{22.4m³/mol - 0.12}) - (\frac{0.1 \cdot 2}{({22.4m³/mol}^{2}) + (2 \cdot 0.12 \cdot 22.4m³/mol) - ({0.12}^{2})})

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

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Pressure of Real Gas using Peng Robinson Equation Solution

Follow our step by step solution on how to calculate Pressure of Real Gas using Peng Robinson Equation?

FIRST Step Consider the formula

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})})

Next Step Substitute values of Variables

∴

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

Next Step Substitute values of Constants

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

p = 31.7199522305138Pa

LAST Step Rounding Answer

∴

p = 31.72Pa

Pressure of Real Gas using Peng Robinson Equation Formula Elements

Variables

Constants

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

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

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

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 Pressure

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 Actual Pressure given Peng Robinson Parameter a, and other Actual and Reduced Parameters

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

Go Actual Pressure given Peng Robinson Parameter b, other Reduced and Critical Parameters

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

Go Actual Pressure given Peng Robinson Parameter b, other Actual and Reduced Parameters

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

Other formulas in Peng Robinson Model of Real Gas category

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]})

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}

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}

How to Evaluate Pressure of Real Gas using Peng Robinson Equation?

Pressure of Real Gas using Peng Robinson Equation evaluator uses Pressure = (([R]*Temperature)/(Molar Volume-Peng–Robinson Parameter b))-((Peng–Robinson Parameter a*α-function)/((Molar Volume^2)+(2*Peng–Robinson Parameter b*Molar Volume)-(Peng–Robinson Parameter b^2))) to evaluate the Pressure, The Pressure of Real Gas using Peng Robinson Equation formula is defined as the force that the gas exerts on the container boundaries. Pressure is denoted by p symbol.

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

FAQs on Pressure of Real Gas using Peng Robinson Equation

What is the formula to find Pressure of Real Gas using Peng Robinson Equation?

The formula of Pressure of Real Gas using Peng Robinson Equation is expressed as Pressure = (([R]*Temperature)/(Molar Volume-Peng–Robinson Parameter b))-((Peng–Robinson Parameter a*α-function)/((Molar Volume^2)+(2*Peng–Robinson Parameter b*Molar Volume)-(Peng–Robinson Parameter b^2))). Here is an example- 31.83426 = (([R]*85)/(22.4-0.12))-((0.1*2)/((22.4^2)+(2*0.12*22.4)-(0.12^2))).

How to calculate Pressure of Real Gas using Peng Robinson Equation?

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

What are the other ways to Calculate Pressure?

Here are the different ways to Calculate Pressure-

Pressure=(([R]*(Reduced Temperature*Critical Temperature))/((Reduced Molar Volume*Critical Molar Volume)-Peng–Robinson Parameter b))-((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)))
Pressure=Reduced Pressure*(0.45724*([R]^2)*((Temperature/Reduced Temperature)^2)/Peng–Robinson Parameter a)
Pressure=Reduced Pressure*(0.07780*[R]*Critical Temperature/Peng–Robinson Parameter b)

Can the Pressure of Real Gas using Peng Robinson Equation be negative?

Yes, the Pressure of Real Gas using Peng Robinson Equation, measured in Pressure can be negative.

Which unit is used to measure Pressure of Real Gas using Peng Robinson Equation?

Pressure of Real Gas using Peng Robinson Equation is usually measured using the Pascal[Pa] for Pressure. Kilopascal[Pa], Bar[Pa], Pound Per Square Inch[Pa] are the few other units in which Pressure of Real Gas using Peng Robinson Equation can be measured.

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Pressure of Real Gas using Peng Robinson Equation Formula

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

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

Pressure of Real Gas using Peng Robinson Equation Example

Pressure of Real Gas using Peng Robinson Equation Solution

Pressure of Real Gas using Peng Robinson Equation Formula Elements

Other Formulas to find Pressure

Other formulas in Peng Robinson Model of Real Gas category

How to Evaluate Pressure of Real Gas using Peng Robinson Equation?

FAQs on Pressure of Real Gas using Peng Robinson Equation

Variable Name

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

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