FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Reduced Pressure using Peng Robinson Equation given Reduced and Critical 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

Fx Copy

LaTeX Copy

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 r \cdot T' c)}{(V' r \cdot V' c) - b PR}) - (\frac{a PR \cdot α}{({(V' r \cdot V' c)}^{2}) + (2 \cdot b PR \cdot (V' r \cdot V' c)) - ({b PR}^{2})})}{P, c}

P_r - Reduced Pressure?T_r - Reduced Temperature?T'_c - Critical Temperature of Real Gas?V'_r - Reduced Molar Volume for P-R Method?V'_c - Critical Molar Volume for Peng Robinson Model?b_PR - Peng–Robinson Parameter b?a_PR - Peng–Robinson Parameter a?α - α-function?P,_c - Critical Pressure for Peng Robinson Model?[R] - Universal gas constant?

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

With values

With units

Only example

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

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

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

0.0056 = \frac{(\frac{8.3145 \cdot (10 \cdot 154.4)}{(246.78 \cdot 0.0025) - 0.12}) - (\frac{0.1 \cdot 2}{({(246.78 \cdot 0.0025)}^{2}) + (2 \cdot 0.12 \cdot (246.78 \cdot 0.0025)) - ({0.12}^{2})})}{4.6E+6}

0.0056 = \frac{(\frac{8.3145 \cdot (10 \cdot 154.4K)}{(246.78 \cdot 0.0025m³/mol) - 0.12}) - (\frac{0.1 \cdot 2}{({(246.78 \cdot 0.0025m³/mol)}^{2}) + (2 \cdot 0.12 \cdot (246.78 \cdot 0.0025m³/mol)) - ({0.12}^{2})})}{4.6E+6Pa}

0.0056 = \frac{(\frac{8.3145 \cdot (10 \cdot 154.4)}{(246.78 \cdot 0.0025) - 0.12}) - (\frac{0.1 \cdot 2}{({(246.78 \cdot 0.0025)}^{2}) + (2 \cdot 0.12 \cdot (246.78 \cdot 0.0025)) - ({0.12}^{2})})}{4.6E+6}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Chemistry » Category

Kinetic Theory of Gases » Category

Real Gas » fx Reduced Pressure using Peng Robinson Equation given Reduced and Critical Parameters

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

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

FIRST Step Consider the formula

P r = \frac{(\frac{[R] \cdot (T r \cdot T' c)}{(V' r \cdot V' c) - b PR}) - (\frac{a PR \cdot α}{({(V' r \cdot V' c)}^{2}) + (2 \cdot b PR \cdot (V' r \cdot V' c)) - ({b PR}^{2})})}{P, c}

Next Step Substitute values of Variables

∴

P r = \frac{(\frac{[R] \cdot (10 \cdot 154.4K)}{(246.78 \cdot 0.0025m³/mol) - 0.12}) - (\frac{0.1 \cdot 2}{({(246.78 \cdot 0.0025m³/mol)}^{2}) + (2 \cdot 0.12 \cdot (246.78 \cdot 0.0025m³/mol)) - ({0.12}^{2})})}{4.6E+6Pa}

Next Step Substitute values of Constants

∴

P r = \frac{(\frac{8.3145 \cdot (10 \cdot 154.4K)}{(246.78 \cdot 0.0025m³/mol) - 0.12}) - (\frac{0.1 \cdot 2}{({(246.78 \cdot 0.0025m³/mol)}^{2}) + (2 \cdot 0.12 \cdot (246.78 \cdot 0.0025m³/mol)) - ({0.12}^{2})})}{4.6E+6Pa}

Next Step Prepare to Evaluate

∴

P r = \frac{(\frac{8.3145 \cdot (10 \cdot 154.4)}{(246.78 \cdot 0.0025) - 0.12}) - (\frac{0.1 \cdot 2}{({(246.78 \cdot 0.0025)}^{2}) + (2 \cdot 0.12 \cdot (246.78 \cdot 0.0025)) - ({0.12}^{2})})}{4.6E+6}

Next Step Evaluate

∴

P r = 0.00561570669243177

LAST Step Rounding Answer

∴

P r = 0.0056

Reduced Pressure using Peng Robinson Equation given Reduced and Critical 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

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

Critical Temperature of Real Gas

Critical Temperature of Real Gas 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 of Real Gas

Reduced Molar Volume for P-R Method

Reduced Molar Volume for P-R Method of a fluid is computed from the ideal gas law at the substance's critical pressure and temperature per mole.

Symbol: V'_r

Measurement: NAUnit: Unitless