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Critical Pressure of Real Gas using Wohl Equation given Reduced and Critical Parameters Formula

GoCritical Pressure of Real Gas using Wohl Equation given Wohl Parameter a Formula

GoCritical Pressure of Real Gas using Wohl Equation given Wohl Parameter c Formula

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

P, c = \frac{(\frac{[R] \cdot (T r \cdot T' c)}{(V' r \cdot V' c) - b}) - (\frac{a}{(T r \cdot T' c) \cdot (V' r \cdot V' c) \cdot ((V' r \cdot V' c) - b)}) + (\frac{c}{({(T r \cdot T' c)}^{2}) \cdot ({(V' r \cdot V' c)}^{3})})}{P r}

P,_c - Critical Pressure for Peng Robinson Model?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 - Wohl Parameter b?a - Wohl Parameter a?c - Wohl Parameter c?P_r - Reduced Pressure?[R] - Universal gas constant?

Critical Pressure of Real Gas using Wohl Equation given Reduced and Critical Parameters Example

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

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

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

1.3E+6 = \frac{(\frac{8.3145 \cdot (1.46 \cdot 154.4)}{(246.78 \cdot 0.0025) - 0.0062}) - (\frac{266}{(1.46 \cdot 154.4) \cdot (246.78 \cdot 0.0025) \cdot ((246.78 \cdot 0.0025) - 0.0062)}) + (\frac{21}{({(1.46 \cdot 154.4)}^{2}) \cdot ({(246.78 \cdot 0.0025)}^{3})})}{0.0024}

1.3E+6Pa = \frac{(\frac{8.3145 \cdot (1.46 \cdot 154.4K)}{(246.78 \cdot 0.0025m³/mol) - 0.0062}) - (\frac{266}{(1.46 \cdot 154.4K) \cdot (246.78 \cdot 0.0025m³/mol) \cdot ((246.78 \cdot 0.0025m³/mol) - 0.0062)}) + (\frac{21}{({(1.46 \cdot 154.4K)}^{2}) \cdot ({(246.78 \cdot 0.0025m³/mol)}^{3})})}{0.0024}

1.3E+6 = \frac{(\frac{8.3145 \cdot (1.46 \cdot 154.4)}{(246.78 \cdot 0.0025) - 0.0062}) - (\frac{266}{(1.46 \cdot 154.4) \cdot (246.78 \cdot 0.0025) \cdot ((246.78 \cdot 0.0025) - 0.0062)}) + (\frac{21}{({(1.46 \cdot 154.4)}^{2}) \cdot ({(246.78 \cdot 0.0025)}^{3})})}{0.0024}

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Critical Pressure of Real Gas using Wohl Equation given Reduced and Critical Parameters Solution

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

FIRST Step Consider the formula

P, c = \frac{(\frac{[R] \cdot (T r \cdot T' c)}{(V' r \cdot V' c) - b}) - (\frac{a}{(T r \cdot T' c) \cdot (V' r \cdot V' c) \cdot ((V' r \cdot V' c) - b)}) + (\frac{c}{({(T r \cdot T' c)}^{2}) \cdot ({(V' r \cdot V' c)}^{3})})}{P r}

Next Step Substitute values of Variables

∴

P, c = \frac{(\frac{[R] \cdot (1.46 \cdot 154.4K)}{(246.78 \cdot 0.0025m³/mol) - 0.0062}) - (\frac{266}{(1.46 \cdot 154.4K) \cdot (246.78 \cdot 0.0025m³/mol) \cdot ((246.78 \cdot 0.0025m³/mol) - 0.0062)}) + (\frac{21}{({(1.46 \cdot 154.4K)}^{2}) \cdot ({(246.78 \cdot 0.0025m³/mol)}^{3})})}{0.0024}

Next Step Substitute values of Constants

∴

P, c = \frac{(\frac{8.3145 \cdot (1.46 \cdot 154.4K)}{(246.78 \cdot 0.0025m³/mol) - 0.0062}) - (\frac{266}{(1.46 \cdot 154.4K) \cdot (246.78 \cdot 0.0025m³/mol) \cdot ((246.78 \cdot 0.0025m³/mol) - 0.0062)}) + (\frac{21}{({(1.46 \cdot 154.4K)}^{2}) \cdot ({(246.78 \cdot 0.0025m³/mol)}^{3})})}{0.0024}

Next Step Prepare to Evaluate

∴

P, c = \frac{(\frac{8.3145 \cdot (1.46 \cdot 154.4)}{(246.78 \cdot 0.0025) - 0.0062}) - (\frac{266}{(1.46 \cdot 154.4) \cdot (246.78 \cdot 0.0025) \cdot ((246.78 \cdot 0.0025) - 0.0062)}) + (\frac{21}{({(1.46 \cdot 154.4)}^{2}) \cdot ({(246.78 \cdot 0.0025)}^{3})})}{0.0024}

Next Step Evaluate

∴

P, c = 1277473.84389788Pa

LAST Step Rounding Answer

∴

P, c = 1.3E+6Pa

Critical Pressure of Real Gas using Wohl Equation given Reduced and Critical Parameters Formula Elements

Variables

Constants

Critical Pressure for Peng Robinson Model

Critical Pressure for Peng Robinson Model 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 for Peng Robinson Model

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