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

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

GoReduced Pressure given Peng Robinson Parameter a, and other Actual and Reduced 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{(\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}

P_r - Reduced Pressure?T - Temperature?V_m - Molar Volume?b_PR - Peng–Robinson Parameter b?a_PR - Peng–Robinson Parameter a?α - α-function?P_c - Critical Pressure?[R] - Universal gas constant?

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

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Here is how the Reduced Pressure using Peng Robinson Equation given Critical and Actual Parameters equation looks like with Values.

Here is how the Reduced Pressure using Peng Robinson Equation given Critical and Actual Parameters equation looks like with Units.

Here is how the Reduced Pressure using Peng Robinson Equation given Critical and Actual Parameters equation looks like.

0.1455 = \frac{(\frac{8.3145 \cdot 85}{22.4 - 0.12}) - (\frac{0.1 \cdot 2}{({22.4}^{2}) + (2 \cdot 0.12 \cdot 22.4) - ({0.12}^{2})})}{218}

0.1455 = \frac{(\frac{8.3145 \cdot 85K}{22.4m³/mol - 0.12}) - (\frac{0.1 \cdot 2}{({22.4m³/mol}^{2}) + (2 \cdot 0.12 \cdot 22.4m³/mol) - ({0.12}^{2})})}{218Pa}

0.1455 = \frac{(\frac{8.3145 \cdot 85}{22.4 - 0.12}) - (\frac{0.1 \cdot 2}{({22.4}^{2}) + (2 \cdot 0.12 \cdot 22.4) - ({0.12}^{2})})}{218}

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

Follow our step by step solution on how to calculate Reduced Pressure using Peng Robinson Equation given Critical and Actual Parameters?

FIRST Step Consider the formula

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}

Next Step Substitute values of Variables

∴

P r = \frac{(\frac{[R] \cdot 85K}{22.4m³/mol - 0.12}) - (\frac{0.1 \cdot 2}{({22.4m³/mol}^{2}) + (2 \cdot 0.12 \cdot 22.4m³/mol) - ({0.12}^{2})})}{218Pa}

Next Step Substitute values of Constants

∴

P r = \frac{(\frac{8.3145 \cdot 85K}{22.4m³/mol - 0.12}) - (\frac{0.1 \cdot 2}{({22.4m³/mol}^{2}) + (2 \cdot 0.12 \cdot 22.4m³/mol) - ({0.12}^{2})})}{218Pa}

Next Step Prepare to Evaluate

∴

P r = \frac{(\frac{8.3145 \cdot 85}{22.4 - 0.12}) - (\frac{0.1 \cdot 2}{({22.4}^{2}) + (2 \cdot 0.12 \cdot 22.4) - ({0.12}^{2})})}{218}

Next Step Evaluate

∴

P r = 0.14550436802988

LAST Step Rounding Answer

∴

P r = 0.1455

Reduced Pressure using Peng Robinson Equation given Critical and Actual 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

Temperature

Temperature is the degree or intensity of heat present in a substance or object.

Symbol: T

Measurement: TemperatureUnit: K