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Wohl Parameter (a) of Real Gas using Wohl Equation given Reduced and Critical Parameters Formula

GoWohl Parameter (a) of Real Gas using Actual and Reduced Parameters Formula

GoWohl Parameter (a) of Real Gas using Wohl Equation Formula

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

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

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

Wohl Parameter (a) of Real Gas using Wohl Equation given Reduced and Critical Parameters Example

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

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

Here is how the Wohl Parameter (a) of Real Gas using Wohl Equation given Reduced and Critical Parameters equation looks like.

-676997.5311 = ((\frac{8.3145 \cdot (1.46 \cdot 154.4)}{(246.78 \cdot 0.0025) - 0.0062}) + (\frac{21}{({(1.46 \cdot 154.4)}^{2}) \cdot ({(246.78 \cdot 0.0025)}^{3})}) - (0.0024 \cdot 4.6E+6)) \cdot ((1.46 \cdot 154.4) \cdot (246.78 \cdot 0.0025) \cdot ((246.78 \cdot 0.0025) - 0.0062))

-676997.5311 = ((\frac{8.3145 \cdot (1.46 \cdot 154.4K)}{(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 \cdot 4.6E+6Pa)) \cdot ((1.46 \cdot 154.4K) \cdot (246.78 \cdot 0.0025m³/mol) \cdot ((246.78 \cdot 0.0025m³/mol) - 0.0062))

-676997.5311 = ((\frac{8.3145 \cdot (1.46 \cdot 154.4)}{(246.78 \cdot 0.0025) - 0.0062}) + (\frac{21}{({(1.46 \cdot 154.4)}^{2}) \cdot ({(246.78 \cdot 0.0025)}^{3})}) - (0.0024 \cdot 4.6E+6)) \cdot ((1.46 \cdot 154.4) \cdot (246.78 \cdot 0.0025) \cdot ((246.78 \cdot 0.0025) - 0.0062))

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Wohl Parameter (a) of Real Gas using Wohl Equation given Reduced and Critical Parameters Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

a = ((\frac{[R] \cdot (1.46 \cdot 154.4K)}{(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 \cdot 4.6E+6Pa)) \cdot ((1.46 \cdot 154.4K) \cdot (246.78 \cdot 0.0025m³/mol) \cdot ((246.78 \cdot 0.0025m³/mol) - 0.0062))

Next Step Substitute values of Constants

∴

a = ((\frac{8.3145 \cdot (1.46 \cdot 154.4K)}{(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 \cdot 4.6E+6Pa)) \cdot ((1.46 \cdot 154.4K) \cdot (246.78 \cdot 0.0025m³/mol) \cdot ((246.78 \cdot 0.0025m³/mol) - 0.0062))

Next Step Prepare to Evaluate

∴

a = ((\frac{8.3145 \cdot (1.46 \cdot 154.4)}{(246.78 \cdot 0.0025) - 0.0062}) + (\frac{21}{({(1.46 \cdot 154.4)}^{2}) \cdot ({(246.78 \cdot 0.0025)}^{3})}) - (0.0024 \cdot 4.6E+6)) \cdot ((1.46 \cdot 154.4) \cdot (246.78 \cdot 0.0025) \cdot ((246.78 \cdot 0.0025) - 0.0062))

Next Step Evaluate

∴

a = -676997.53111558

LAST Step Rounding Answer

∴

a = -676997.5311

Wohl Parameter (a) of Real Gas using Wohl Equation given Reduced and Critical Parameters Formula Elements

Variables

Constants

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.

Formulas to find Wohl Parameter a

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

Note: Value can be positive or negative.

Formulas to find Reduced Molar Volume for P-R Method

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.

Formulas to find Critical Molar Volume for Peng Robinson Model

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.

Formulas to find Wohl Parameter b

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.

Formulas to find Wohl Parameter c

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

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

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

Other Formulas to find Wohl Parameter a

Go Wohl Parameter (a) of Real Gas using Actual and Reduced Parameters

a = 6 \cdot (\frac{P rg}{P r}) \cdot (\frac{T rg}{T r}) \cdot ({(\frac{V' m}{V' r})}^{2})

Go Wohl Parameter (a) of Real Gas using Wohl Equation

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

Other formulas in Wohl Parameter category

Go Wohl Parameter (b) of Real Gas given Actual and Reduced Molar Volume

b = \frac{\frac{V' m}{V' r}}{4}

Go Wohl Parameter (b) of Real Gas given Actual and Reduced Temperature and Pressure

b = \frac{[R] \cdot (\frac{T rg}{T r})}{15 \cdot (\frac{P rg}{P r})}

How to Evaluate Wohl Parameter (a) of Real Gas using Wohl Equation given Reduced and Critical Parameters?

Wohl Parameter (a) of Real Gas using Wohl Equation given Reduced and Critical Parameters evaluator uses Wohl Parameter a = ((([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 c/(((Reduced Temperature*Critical Temperature of Real Gas)^2)*((Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)^3)))-(Reduced Pressure*Critical Pressure for Peng Robinson Model))*((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)) to evaluate the Wohl Parameter a, The Wohl Parameter (a) of Real Gas using Wohl Equation given Reduced and Critical Parameters formula is defined as an empirical parameter characteristic to equation obtained from Wohl model of real gas. Wohl Parameter a is denoted by a symbol.

How to evaluate Wohl Parameter (a) of Real Gas using Wohl Equation given Reduced and Critical Parameters using this online evaluator? To use this online evaluator for Wohl Parameter (a) 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 c (c), Reduced Pressure (P_r) & Critical Pressure for Peng Robinson Model (P,_c) and hit the calculate button.

FAQs on Wohl Parameter (a) of Real Gas using Wohl Equation given Reduced and Critical Parameters

What is the formula to find Wohl Parameter (a) of Real Gas using Wohl Equation given Reduced and Critical Parameters?

The formula of Wohl Parameter (a) of Real Gas using Wohl Equation given Reduced and Critical Parameters is expressed as Wohl Parameter a = ((([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 c/(((Reduced Temperature*Critical Temperature of Real Gas)^2)*((Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)^3)))-(Reduced Pressure*Critical Pressure for Peng Robinson Model))*((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)). Here is an example- 273025.9 = ((([R]*(1.46*154.4))/((246.78*0.0025)-0.00625))+(21/(((1.46*154.4)^2)*((246.78*0.0025)^3)))-(0.0024*4600000))*((1.46*154.4)*(246.78*0.0025)*((246.78*0.0025)-0.00625)).

How to calculate Wohl Parameter (a) 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 c (c), Reduced Pressure (P_r) & Critical Pressure for Peng Robinson Model (P,_c) we can find Wohl Parameter (a) of Real Gas using Wohl Equation given Reduced and Critical Parameters using the formula - Wohl Parameter a = ((([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 c/(((Reduced Temperature*Critical Temperature of Real Gas)^2)*((Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)^3)))-(Reduced Pressure*Critical Pressure for Peng Robinson Model))*((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)). This formula also uses Universal gas constant .

What are the other ways to Calculate Wohl Parameter a?

Here are the different ways to Calculate Wohl Parameter a-

Wohl Parameter a=6*(Pressure of Gas/Reduced Pressure)*(Temperature of Real Gas/Reduced Temperature)*((Molar Volume of Real Gas/Reduced Molar Volume for P-R Method)^2)
Wohl Parameter a=((([R]*Temperature 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)))-Pressure of Gas)*(Temperature of Real Gas*Molar Volume of Real Gas*(Molar Volume of Real Gas-Wohl Parameter b))
Wohl Parameter a=((([R]*((Temperature of Real Gas/Critical Temperature of Real Gas)*Critical Temperature of Real Gas))/(((Molar Volume of Real Gas/Critical Molar Volume for Peng Robinson Model)*Critical Molar Volume for Peng Robinson Model)-Wohl Parameter b))+(Wohl Parameter c/((((Temperature of Real Gas/Critical Temperature of Real Gas)*Critical Temperature of Real Gas)^2)*(((Molar Volume of Real Gas/Critical Molar Volume for Peng Robinson Model)*Critical Molar Volume for Peng Robinson Model)^3)))-((Pressure of Gas/Critical Pressure for Peng Robinson Model)*Critical Pressure for Peng Robinson Model))*(((Temperature of Real Gas/Critical Temperature of Real Gas)*Critical Temperature of Real Gas)*((Molar Volume of Real Gas/Critical Molar Volume for Peng Robinson Model)*Critical Molar Volume for Peng Robinson Model)*(((Molar Volume of Real Gas/Critical Molar Volume for Peng Robinson Model)*Critical Molar Volume for Peng Robinson Model)-Wohl Parameter b))

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Wohl Parameter (a) of Real Gas using Wohl Equation given Reduced and Critical Parameters Formula

​GoWohl Parameter (a) of Real Gas using Actual and Reduced Parameters Formula

​GoWohl Parameter (a) of Real Gas using Wohl Equation Formula

Wohl Parameter (a) of Real Gas using Wohl Equation given Reduced and Critical Parameters Example

Wohl Parameter (a) of Real Gas using Wohl Equation given Reduced and Critical Parameters Solution

Wohl Parameter (a) of Real Gas using Wohl Equation given Reduced and Critical Parameters Formula Elements

Other Formulas to find Wohl Parameter a

Other formulas in Wohl Parameter category

How to Evaluate Wohl Parameter (a) of Real Gas using Wohl Equation given Reduced and Critical Parameters?

FAQs on Wohl Parameter (a) of Real Gas using Wohl Equation given Reduced and Critical Parameters

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GoWohl Parameter (a) of Real Gas using Actual and Reduced Parameters Formula

GoWohl Parameter (a) of Real Gas using Wohl Equation Formula