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

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

GoReduced Pressure given Peng Robinson Parameter b, other Actual and Critical Parameters Formula

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Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless. Check FAQs

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

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

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

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

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

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

0.035 = \frac{800}{0.45724 \cdot ({8.3145}^{2}) \cdot \frac{{(\frac{85}{10})}^{2}}{0.1}}

0.035 = \frac{800Pa}{0.45724 \cdot ({8.3145}^{2}) \cdot \frac{{(\frac{85K}{10})}^{2}}{0.1}}

0.035 = \frac{800}{0.45724 \cdot ({8.3145}^{2}) \cdot \frac{{(\frac{85}{10})}^{2}}{0.1}}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P r = \frac{800Pa}{0.45724 \cdot ({[R]}^{2}) \cdot \frac{{(\frac{85K}{10})}^{2}}{0.1}}

Next Step Substitute values of Constants

∴

P r = \frac{800Pa}{0.45724 \cdot ({8.3145}^{2}) \cdot \frac{{(\frac{85K}{10})}^{2}}{0.1}}

Next Step Prepare to Evaluate

∴

P r = \frac{800}{0.45724 \cdot ({8.3145}^{2}) \cdot \frac{{(\frac{85}{10})}^{2}}{0.1}}

Next Step Evaluate

∴

P r = 0.0350299525754462

LAST Step Rounding Answer

∴

P r = 0.035

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

Variables

Constants

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

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

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 Reduced Pressure

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

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

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

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

Go Reduced Pressure using Peng Robinson Equation given Critical and Actual Parameters

P r = \frac{(\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 c}

Go Reduced Pressure using Peng Robinson Equation given Reduced and Critical Parameters

P r = \frac{(\frac{[R] \cdot (T r \cdot T' c)}{(V' r \cdot V' c) - b PR}) - (\frac{a PR \cdot α}{({(V' r \cdot V' c)}^{2}) + (2 \cdot b PR \cdot (V' r \cdot V' c)) - ({b PR}^{2})})}{P, c}

Other formulas in Reduced Pressure category

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

Pc PRP = \frac{p}{0.07780 \cdot [R] \cdot \frac{\frac{T g}{T r}}{b PR}}

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

Reduced Pressure given Peng Robinson Parameter a, and other Actual and Reduced Parameters evaluator uses Reduced Pressure = Pressure/(0.45724*([R]^2)*((Temperature/Reduced Temperature)^2)/Peng–Robinson Parameter a) to evaluate the Reduced Pressure, The Reduced Pressure given Peng Robinson Parameter a, and other Actual and Reduced Parameters formula is defined as the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless. Reduced Pressure is denoted by P_r symbol.

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

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

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

The formula of Reduced Pressure given Peng Robinson Parameter a, and other Actual and Reduced Parameters is expressed as Reduced Pressure = Pressure/(0.45724*([R]^2)*((Temperature/Reduced Temperature)^2)/Peng–Robinson Parameter a). Here is an example- 0.03503 = 800/(0.45724*([R]^2)*((85/10)^2)/0.1).

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

With Pressure (p), Temperature (T), Reduced Temperature (T_r) & Peng–Robinson Parameter a (a_PR) we can find Reduced Pressure given Peng Robinson Parameter a, and other Actual and Reduced Parameters using the formula - Reduced Pressure = 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 Reduced Pressure?

Here are the different ways to Calculate Reduced Pressure-

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

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

​GoReduced Pressure given Peng Robinson Parameter a, and other Actual and Critical Parameters Formula

​GoReduced Pressure given Peng Robinson Parameter b, other Actual and Critical Parameters Formula

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

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

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

Other Formulas to find Reduced Pressure

Other formulas in Reduced Pressure category

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

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

Variable Name

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

GoReduced Pressure given Peng Robinson Parameter b, other Actual and Critical Parameters Formula