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

GoPressure of Real Gas using Wohl Equation Formula

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Pressure of Gas is the force applied perpendicular to the surface of an object per unit area over which that force is distributed. Check FAQs

P rg = (\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_rg - Pressure of Gas?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?[R] - Universal gas constant?

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

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

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

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

3065.9372 = (\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})})

3065.9372Pa = (\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})})

3065.9372 = (\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})})

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Home » Chemistry » Kinetic Theory of Gases » Real Gas » Pressure of Real Gas using Wohl Equation given Reduced and Critical Parameters

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

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

FIRST Step Consider the formula

P rg = (\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})})

Next Step Substitute values of Variables

∴

P rg = (\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})})

Next Step Substitute values of Constants

∴

P rg = (\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})})

Next Step Prepare to Evaluate

∴

P rg = (\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})})

Next Step Evaluate

∴

P rg = 3065.9372253549Pa

LAST Step Rounding Answer

∴

P rg = 3065.9372Pa

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

Variables

Constants

Pressure of Gas

Pressure of Gas is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.

Symbol: P_rg

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

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.

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.

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

Note: Value can be positive or negative.

Critical Molar Volume for Peng Robinson Model

Critical Molar Volume for Peng Robinson Model is the volume occupied by gas at critical temperature and pressure per mole.

Symbol: V'_c

Measurement: Molar Magnetic SusceptibilityUnit: m³/mol

Note: Value can be positive or negative.

Wohl Parameter b

Wohl parameter b is an empirical parameter characteristic to equation obtained from Wohl model of real gas.

Symbol: b

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Wohl Parameter a

Wohl parameter a is an empirical parameter characteristic to equation obtained from Wohl model of real gas.

Symbol: a

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Wohl Parameter c

Wohl parameter c is an empirical parameter characteristic to equation obtained from Wohl model of real gas.

Symbol: c

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

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

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Created by Prerana Bakli

University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA

Prerana Bakli has created this Formula and 800+ more formulas!

Verified by Prashant Singh

K J Somaiya College of science (K J Somaiya), Mumbai

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Other Formulas to find Pressure of Gas

Go Pressure of Real Gas using Wohl Equation

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

Other formulas in Temperature and Pressure of Real Gas using Wohl Equation category

Go Temperature of Real Gas using Wohl Equation

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

Go Temperature of Real Gas using Wohl Equation given Reduced and Critical Parameters

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

How to Evaluate Pressure of Real Gas using Wohl Equation given Reduced and Critical Parameters?

Pressure of Real Gas using Wohl Equation given Reduced and Critical Parameters evaluator uses Pressure of Gas = (([R]*(Reduced Temperature*Critical Temperature of Real Gas))/((Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)-Wohl Parameter b))-(Wohl Parameter a/((Reduced Temperature*Critical Temperature of Real Gas)*(Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)*((Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)-Wohl Parameter b)))+(Wohl Parameter c/(((Reduced Temperature*Critical Temperature of Real Gas)^2)*((Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)^3))) to evaluate the Pressure of Gas, The Pressure of Real Gas using Wohl Equation given Reduced and Critical Parameters formula is defined as the volume occupied by one mole of any gas, at room temperature and pressure. Pressure of Gas is denoted by P_rg symbol.

How to evaluate Pressure of Real Gas using Wohl Equation given Reduced and Critical Parameters using this online evaluator? To use this online evaluator for Pressure of Real Gas using Wohl Equation given Reduced and Critical Parameters, enter Reduced Temperature (T_r), Critical Temperature of Real Gas (T'_c), Reduced Molar Volume for P-R Method (V'_r), Critical Molar Volume for Peng Robinson Model (V'_c), Wohl Parameter b (b), Wohl Parameter a (a) & Wohl Parameter c (c) and hit the calculate button.

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

What is the formula to find Pressure of Real Gas using Wohl Equation given Reduced and Critical Parameters?

The formula of Pressure of Real Gas using Wohl Equation given Reduced and Critical Parameters is expressed as Pressure of Gas = (([R]*(Reduced Temperature*Critical Temperature of Real Gas))/((Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)-Wohl Parameter b))-(Wohl Parameter a/((Reduced Temperature*Critical Temperature of Real Gas)*(Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)*((Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)-Wohl Parameter b)))+(Wohl Parameter c/(((Reduced Temperature*Critical Temperature of Real Gas)^2)*((Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)^3))). Here is an example- -232592.145917 = (([R]*(1.46*154.4))/((246.78*0.0025)-0.00625))-(266/((1.46*154.4)*(246.78*0.0025)*((246.78*0.0025)-0.00625)))+(21/(((1.46*154.4)^2)*((246.78*0.0025)^3))).

How to calculate Pressure of Real Gas using Wohl Equation given Reduced and Critical Parameters?

With Reduced Temperature (T_r), Critical Temperature of Real Gas (T'_c), Reduced Molar Volume for P-R Method (V'_r), Critical Molar Volume for Peng Robinson Model (V'_c), Wohl Parameter b (b), Wohl Parameter a (a) & Wohl Parameter c (c) we can find Pressure of Real Gas using Wohl Equation given Reduced and Critical Parameters using the formula - Pressure of Gas = (([R]*(Reduced Temperature*Critical Temperature of Real Gas))/((Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)-Wohl Parameter b))-(Wohl Parameter a/((Reduced Temperature*Critical Temperature of Real Gas)*(Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)*((Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)-Wohl Parameter b)))+(Wohl Parameter c/(((Reduced Temperature*Critical Temperature of Real Gas)^2)*((Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)^3))). This formula also uses Universal gas constant .

What are the other ways to Calculate Pressure of Gas?

Here are the different ways to Calculate Pressure of Gas-

Pressure of Gas=(([R]*Temperature of Real Gas)/(Molar Volume of Real Gas-Wohl Parameter b))-(Wohl Parameter a/(Temperature of Real Gas*Molar Volume of Real Gas*(Molar Volume of Real Gas-Wohl Parameter b)))+(Wohl Parameter c/((Temperature of Real Gas^2)*(Molar Volume of Real Gas^3)))

Can the Pressure of Real Gas using Wohl Equation given Reduced and Critical Parameters be negative?

Yes, the Pressure of Real Gas using Wohl Equation given Reduced and Critical Parameters, measured in Pressure can be negative.

Which unit is used to measure Pressure of Real Gas using Wohl Equation given Reduced and Critical Parameters?

Pressure of Real Gas using Wohl Equation given Reduced and Critical 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 Pressure of Real Gas using Wohl Equation given Reduced and Critical Parameters can be measured.

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

​GoPressure of Real Gas using Wohl Equation Formula

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

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

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

Credits

Other Formulas to find Pressure of Gas

Other formulas in Temperature and Pressure of Real Gas using Wohl Equation category

How to Evaluate Pressure of Real Gas using Wohl Equation given Reduced and Critical Parameters?

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

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GoPressure of Real Gas using Wohl Equation Formula