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

GoCritical Pressure of Real Gas using Peng Robinson Equation given Peng Robinson Parameter a Formula

GoCritical Pressure of Real Gas using Peng Robinson Equation given Peng Robinson Parameter b Formula

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Critical Pressure is the minimum pressure required to liquify a substance at the critical temperature. Check FAQs

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

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

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

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

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

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

22837.5987 = 0.45724 \cdot ({8.3145}^{2}) \cdot \frac{{(\frac{85}{10})}^{2}}{0.1}

22837.5987Pa = 0.45724 \cdot ({8.3145}^{2}) \cdot \frac{{(\frac{85K}{10})}^{2}}{0.1}

22837.5987 = 0.45724 \cdot ({8.3145}^{2}) \cdot \frac{{(\frac{85}{10})}^{2}}{0.1}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Substitute values of Constants

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

P c = 22837.5987171833Pa

LAST Step Rounding Answer

∴

P c = 22837.5987Pa

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

Variables

Constants

Critical Pressure

Critical Pressure is the minimum pressure required to liquify a substance at the critical temperature.

Symbol: P_c

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Critical 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 Critical Pressure

Go Critical Pressure of Real Gas using Peng Robinson Equation given Peng Robinson Parameter a

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

Go Critical Pressure of Real Gas using Peng Robinson Equation given Peng Robinson Parameter b

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

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

P c = \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 r}

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

P c = \frac{(\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})})}{P r}

Other formulas in Critical Pressure category

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}

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

Critical Pressure given Peng Robinson Parameter a, and other Actual and Reduced Parameters evaluator uses Critical Pressure = 0.45724*([R]^2)*((Temperature/Reduced Temperature)^2)/Peng–Robinson Parameter a to evaluate the Critical Pressure, The Critical Pressure given Peng Robinson Parameter a, and other Actual and Reduced Parameters formula is defined as the minimum pressure required to liquefy a substance at the critical temperature. Critical Pressure is denoted by P_c symbol.

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

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

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

The formula of Critical Pressure given Peng Robinson Parameter a, and other Actual and Reduced Parameters is expressed as Critical Pressure = 0.45724*([R]^2)*((Temperature/Reduced Temperature)^2)/Peng–Robinson Parameter a. Here is an example- 22837.6 = 0.45724*([R]^2)*((85/10)^2)/0.1.

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

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

Here are the different ways to Calculate Critical Pressure-

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

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

No, the Critical Pressure given Peng Robinson Parameter a, and other Actual and Reduced Parameters, measured in Pressure cannot be negative.

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

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

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