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

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

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

P_PRP - Pressure given PRP?P_r - Reduced Pressure?T_c - Critical Temperature?a_PR - Peng–Robinson Parameter a?[R] - Universal gas constant?

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

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

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

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

4862.7114 = 3.7E-5 \cdot (0.45724 \cdot ({8.3145}^{2}) \cdot \frac{647^{2}}{0.1})

4862.7114Pa = 3.7E-5 \cdot (0.45724 \cdot ({8.3145}^{2}) \cdot \frac{{647K}^{2}}{0.1})

4862.7114 = 3.7E-5 \cdot (0.45724 \cdot ({8.3145}^{2}) \cdot \frac{647^{2}}{0.1})

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P PRP = 3.7E-5 \cdot (0.45724 \cdot ({[R]}^{2}) \cdot \frac{{647K}^{2}}{0.1})

Next Step Substitute values of Constants

∴

P PRP = 3.7E-5 \cdot (0.45724 \cdot ({8.3145}^{2}) \cdot \frac{{647K}^{2}}{0.1})

Next Step Prepare to Evaluate

∴

P PRP = 3.7E-5 \cdot (0.45724 \cdot ({8.3145}^{2}) \cdot \frac{647^{2}}{0.1})

Next Step Evaluate

∴

P PRP = 4862.71135337717Pa

LAST Step Rounding Answer

∴

P PRP = 4862.7114Pa

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

Variables

Constants

Pressure given PRP

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

Symbol: P_PRP

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Pressure given PRP

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 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

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 in Peng Robinson Model of Real Gas category

Go Actual Temperature given Peng Robinson parameter b, other reduced and critical parameters

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

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

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

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

T real = \frac{(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]})}{T r}

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

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

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

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

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

The formula of Actual Pressure given Peng Robinson Parameter a, and other Reduced and Critical Parameters is expressed as Pressure given PRP = Reduced Pressure*(0.45724*([R]^2)*(Critical Temperature^2)/Peng–Robinson Parameter a). Here is an example- 4862.711 = 3.675E-05*(0.45724*([R]^2)*(647^2)/0.1).

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

With Reduced Pressure (P_r), Critical Temperature (T_c) & Peng–Robinson Parameter a (a_PR) we can find Actual Pressure given Peng Robinson Parameter a, and other Reduced and Critical Parameters using the formula - Pressure given PRP = Reduced Pressure*(0.45724*([R]^2)*(Critical Temperature^2)/Peng–Robinson Parameter a). This formula also uses Universal gas constant .

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

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

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

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

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