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

GoPressure of Real Gas using Peng Robinson Equation Formula

GoPressure of Real Gas using Peng Robinson Equation given Reduced and Critical 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 = P r \cdot (0.45724 \cdot ({[R]}^{2}) \cdot \frac{{(\frac{T}{T r})}^{2}}{a PR})

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

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

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

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

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

0.8393 = 3.7E-5 \cdot (0.45724 \cdot ({8.3145}^{2}) \cdot \frac{{(\frac{85}{10})}^{2}}{0.1})

0.8393Pa = 3.7E-5 \cdot (0.45724 \cdot ({8.3145}^{2}) \cdot \frac{{(\frac{85K}{10})}^{2}}{0.1})

0.8393 = 3.7E-5 \cdot (0.45724 \cdot ({8.3145}^{2}) \cdot \frac{{(\frac{85}{10})}^{2}}{0.1})

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

p = 3.7E-5 \cdot (0.45724 \cdot ({[R]}^{2}) \cdot \frac{{(\frac{85K}{10})}^{2}}{0.1})

Next Step Substitute values of Constants

∴

p = 3.7E-5 \cdot (0.45724 \cdot ({8.3145}^{2}) \cdot \frac{{(\frac{85K}{10})}^{2}}{0.1})

Next Step Prepare to Evaluate

∴

p = 3.7E-5 \cdot (0.45724 \cdot ({8.3145}^{2}) \cdot \frac{{(\frac{85}{10})}^{2}}{0.1})

Next Step Evaluate

∴

p = 0.839281752856485Pa

LAST Step Rounding Answer

∴

p = 0.8393Pa

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

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

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

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

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

Actual Pressure given Peng Robinson Parameter a, and other Actual and Reduced Parameters evaluator uses Pressure = Reduced Pressure*(0.45724*([R]^2)*((Temperature/Reduced Temperature)^2)/Peng–Robinson Parameter a) to evaluate the Pressure, The Actual Pressure given Peng Robinson Parameter a, and other Actual and Reduced Parameters formula is defined as the force that the gas exerts on the container boundaries. Pressure is denoted by p symbol.

How to evaluate Actual Pressure given Peng Robinson Parameter a, and other Actual and Reduced Parameters using this online evaluator? To use this online evaluator for Actual Pressure given Peng Robinson Parameter a, and other Actual and Reduced Parameters, enter Reduced Pressure (P_r), Temperature (T), Reduced Temperature (T_r) & Peng–Robinson Parameter a (a_PR) and hit the calculate button.

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

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

The formula of Actual Pressure given Peng Robinson Parameter a, and other Actual and Reduced Parameters is expressed as Pressure = Reduced Pressure*(0.45724*([R]^2)*((Temperature/Reduced Temperature)^2)/Peng–Robinson Parameter a). Here is an example- 0.839282 = 3.675E-05*(0.45724*([R]^2)*((85/10)^2)/0.1).

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

With Reduced Pressure (P_r), Temperature (T), Reduced Temperature (T_r) & Peng–Robinson Parameter a (a_PR) we can find Actual Pressure given Peng Robinson Parameter a, and other Actual and Reduced Parameters using the formula - Pressure = Reduced Pressure*(0.45724*([R]^2)*((Temperature/Reduced Temperature)^2)/Peng–Robinson Parameter a). 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]*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)))
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*(0.07780*[R]*Critical Temperature/Peng–Robinson Parameter b)

Can the Actual Pressure given Peng Robinson Parameter a, and other Actual and Reduced Parameters be negative?

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

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

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

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

​GoPressure of Real Gas using Peng Robinson Equation Formula

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

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

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

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

Other Formulas to find Pressure

Other formulas in Peng Robinson Model of Real Gas category

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

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

Variable Name

GoPressure of Real Gas using Peng Robinson Equation Formula

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