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

GoCritical 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

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

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}

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

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

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

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

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

863127.9519 = \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})})}{3.7E-5}

863127.9519Pa = \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})})}{3.7E-5}

863127.9519 = \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})})}{3.7E-5}

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

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

FIRST Step Consider the formula

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}

Next Step Substitute values of Variables

∴

P c = \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})})}{3.7E-5}

Next Step Substitute values of Constants

∴

P c = \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})})}{3.7E-5}

Next Step Prepare to Evaluate

∴

P c = \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})})}{3.7E-5}

Next Step Evaluate

∴

P c = 863127.951850715Pa

LAST Step Rounding Answer

∴

P c = 863127.9519Pa

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