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Actual Pressure given Peng Robinson Parameter b, other Reduced and Critical 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 (0.07780 \cdot [R] \cdot \frac{T c}{b PR})

p - Pressure?P_r - Reduced Pressure?T_c - Critical Temperature?b_PR - Peng–Robinson Parameter b?[R] - Universal gas constant?

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

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

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

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

0.1282 = 3.7E-5 \cdot (0.07780 \cdot 8.3145 \cdot \frac{647}{0.12})

0.1282Pa = 3.7E-5 \cdot (0.07780 \cdot 8.3145 \cdot \frac{647K}{0.12})

0.1282 = 3.7E-5 \cdot (0.07780 \cdot 8.3145 \cdot \frac{647}{0.12})

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

p = 3.7E-5 \cdot (0.07780 \cdot [R] \cdot \frac{647K}{0.12})

Next Step Substitute values of Constants

∴

p = 3.7E-5 \cdot (0.07780 \cdot 8.3145 \cdot \frac{647K}{0.12})

Next Step Prepare to Evaluate

∴

p = 3.7E-5 \cdot (0.07780 \cdot 8.3145 \cdot \frac{647}{0.12})

Next Step Evaluate

∴

p = 0.128172294826386Pa

LAST Step Rounding Answer

∴

p = 0.1282Pa

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

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 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

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 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 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 b, other Reduced and Critical Parameters?

Actual Pressure given Peng Robinson Parameter b, other Reduced and Critical Parameters evaluator uses Pressure = Reduced Pressure*(0.07780*[R]*Critical Temperature/Peng–Robinson Parameter b) to evaluate the Pressure, The Actual Pressure given Peng Robinson Parameter b, other Reduced and Critical 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 b, other Reduced and Critical Parameters using this online evaluator? To use this online evaluator for Actual Pressure given Peng Robinson Parameter b, other Reduced and Critical Parameters, enter Reduced Pressure (P_r), Critical Temperature (T_c) & Peng–Robinson Parameter b (b_PR) and hit the calculate button.

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

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

The formula of Actual Pressure given Peng Robinson Parameter b, other Reduced and Critical Parameters is expressed as Pressure = Reduced Pressure*(0.07780*[R]*Critical Temperature/Peng–Robinson Parameter b). Here is an example- 0.076903 = 3.675E-05*(0.07780*[R]*647/0.12).

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

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

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

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

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

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

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