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Wohl Parameter (a) of Real Gas using Wohl Equation given Actual 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 ((\frac{T rg}{T' c}) \cdot T' c)}{((\frac{V' m}{V' c}) \cdot V' c) - b}) + (\frac{c}{({((\frac{T rg}{T' c}) \cdot T' c)}^{2}) \cdot ({((\frac{V' m}{V' c}) \cdot V' c)}^{3})}) - ((\frac{P rg}{P, c}) \cdot P, c)) \cdot (((\frac{T rg}{T' c}) \cdot T' c) \cdot ((\frac{V' m}{V' c}) \cdot V' c) \cdot (((\frac{V' m}{V' c}) \cdot V' c) - b))

a - Wohl Parameter a?T_rg - Temperature of Real Gas?T'_c - Critical Temperature of Real Gas?V'_m - Molar Volume of Real Gas?V'_c - Critical Molar Volume for Peng Robinson Model?b - Wohl Parameter b?c - Wohl Parameter c?P_rg - Pressure of Gas?P,_c - Critical Pressure for Peng Robinson Model?[R] - Universal gas constant?

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

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

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

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

15664.604 = ((\frac{8.3145 \cdot ((\frac{300}{154.4}) \cdot 154.4)}{((\frac{0.0224}{0.0025}) \cdot 0.0025) - 0.0062}) + (\frac{21}{({((\frac{300}{154.4}) \cdot 154.4)}^{2}) \cdot ({((\frac{0.0224}{0.0025}) \cdot 0.0025)}^{3})}) - ((\frac{10132}{4.6E+6}) \cdot 4.6E+6)) \cdot (((\frac{300}{154.4}) \cdot 154.4) \cdot ((\frac{0.0224}{0.0025}) \cdot 0.0025) \cdot (((\frac{0.0224}{0.0025}) \cdot 0.0025) - 0.0062))

15664.604 = ((\frac{8.3145 \cdot ((\frac{300K}{154.4K}) \cdot 154.4K)}{((\frac{0.0224m³}{0.0025m³/mol}) \cdot 0.0025m³/mol) - 0.0062}) + (\frac{21}{({((\frac{300K}{154.4K}) \cdot 154.4K)}^{2}) \cdot ({((\frac{0.0224m³}{0.0025m³/mol}) \cdot 0.0025m³/mol)}^{3})}) - ((\frac{10132Pa}{4.6E+6Pa}) \cdot 4.6E+6Pa)) \cdot (((\frac{300K}{154.4K}) \cdot 154.4K) \cdot ((\frac{0.0224m³}{0.0025m³/mol}) \cdot 0.0025m³/mol) \cdot (((\frac{0.0224m³}{0.0025m³/mol}) \cdot 0.0025m³/mol) - 0.0062))

15664.604 = ((\frac{8.3145 \cdot ((\frac{300}{154.4}) \cdot 154.4)}{((\frac{0.0224}{0.0025}) \cdot 0.0025) - 0.0062}) + (\frac{21}{({((\frac{300}{154.4}) \cdot 154.4)}^{2}) \cdot ({((\frac{0.0224}{0.0025}) \cdot 0.0025)}^{3})}) - ((\frac{10132}{4.6E+6}) \cdot 4.6E+6)) \cdot (((\frac{300}{154.4}) \cdot 154.4) \cdot ((\frac{0.0224}{0.0025}) \cdot 0.0025) \cdot (((\frac{0.0224}{0.0025}) \cdot 0.0025) - 0.0062))

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

a = ((\frac{[R] \cdot ((\frac{300K}{154.4K}) \cdot 154.4K)}{((\frac{0.0224m³}{0.0025m³/mol}) \cdot 0.0025m³/mol) - 0.0062}) + (\frac{21}{({((\frac{300K}{154.4K}) \cdot 154.4K)}^{2}) \cdot ({((\frac{0.0224m³}{0.0025m³/mol}) \cdot 0.0025m³/mol)}^{3})}) - ((\frac{10132Pa}{4.6E+6Pa}) \cdot 4.6E+6Pa)) \cdot (((\frac{300K}{154.4K}) \cdot 154.4K) \cdot ((\frac{0.0224m³}{0.0025m³/mol}) \cdot 0.0025m³/mol) \cdot (((\frac{0.0224m³}{0.0025m³/mol}) \cdot 0.0025m³/mol) - 0.0062))

Next Step Substitute values of Constants

∴

a = ((\frac{8.3145 \cdot ((\frac{300K}{154.4K}) \cdot 154.4K)}{((\frac{0.0224m³}{0.0025m³/mol}) \cdot 0.0025m³/mol) - 0.0062}) + (\frac{21}{({((\frac{300K}{154.4K}) \cdot 154.4K)}^{2}) \cdot ({((\frac{0.0224m³}{0.0025m³/mol}) \cdot 0.0025m³/mol)}^{3})}) - ((\frac{10132Pa}{4.6E+6Pa}) \cdot 4.6E+6Pa)) \cdot (((\frac{300K}{154.4K}) \cdot 154.4K) \cdot ((\frac{0.0224m³}{0.0025m³/mol}) \cdot 0.0025m³/mol) \cdot (((\frac{0.0224m³}{0.0025m³/mol}) \cdot 0.0025m³/mol) - 0.0062))

Next Step Prepare to Evaluate

∴

a = ((\frac{8.3145 \cdot ((\frac{300}{154.4}) \cdot 154.4)}{((\frac{0.0224}{0.0025}) \cdot 0.0025) - 0.0062}) + (\frac{21}{({((\frac{300}{154.4}) \cdot 154.4)}^{2}) \cdot ({((\frac{0.0224}{0.0025}) \cdot 0.0025)}^{3})}) - ((\frac{10132}{4.6E+6}) \cdot 4.6E+6)) \cdot (((\frac{300}{154.4}) \cdot 154.4) \cdot ((\frac{0.0224}{0.0025}) \cdot 0.0025) \cdot (((\frac{0.0224}{0.0025}) \cdot 0.0025) - 0.0062))

Next Step Evaluate

∴

a = 15664.6040113934

LAST Step Rounding Answer

∴

a = 15664.604

Wohl Parameter (a) of Real Gas using Wohl Equation given Actual 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

Temperature of Real Gas

Temperature of Real Gas is the degree or intensity of heat present in a substance or object.

Symbol: T_rg

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Temperature of Real Gas

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

Molar Volume of Real Gas

Molar Volume of Real Gas or Molar gas volume is one mole of any gas at a specific temperature and pressure has a fixed volume.

Symbol: V'_m

Measurement: VolumeUnit: m³

Note: Value can be positive or negative.

Formulas to find Molar Volume of Real Gas

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

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.

Formulas to find Pressure of Gas

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 Actual and Critical Parameters?

Wohl Parameter (a) of Real Gas using Wohl Equation given Actual and Critical Parameters evaluator uses 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)) to evaluate the Wohl Parameter a, The Wohl Parameter (a) of Real Gas using Wohl Equation given Actual 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 Actual and Critical Parameters using this online evaluator? To use this online evaluator for Wohl Parameter (a) of Real Gas using Wohl Equation given Actual and Critical Parameters, enter Temperature of Real Gas (T_rg), Critical Temperature of Real Gas (T'_c), Molar Volume of Real Gas (V'_m), Critical Molar Volume for Peng Robinson Model (V'_c), Wohl Parameter b (b), Wohl Parameter c (c), Pressure of Gas (P_rg) & 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 Actual and Critical Parameters

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

The formula of Wohl Parameter (a) of Real Gas using Wohl Equation given Actual and Critical Parameters is expressed as 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)). Here is an example- 1042.01 = ((([R]*((300/154.4)*154.4))/(((0.0224/0.0025)*0.0025)-0.00625))+(21/((((300/154.4)*154.4)^2)*(((0.0224/0.0025)*0.0025)^3)))-((10132/4600000)*4600000))*(((300/154.4)*154.4)*((0.0224/0.0025)*0.0025)*(((0.0224/0.0025)*0.0025)-0.00625)).

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

With Temperature of Real Gas (T_rg), Critical Temperature of Real Gas (T'_c), Molar Volume of Real Gas (V'_m), Critical Molar Volume for Peng Robinson Model (V'_c), Wohl Parameter b (b), Wohl Parameter c (c), Pressure of Gas (P_rg) & Critical Pressure for Peng Robinson Model (P,_c) we can find Wohl Parameter (a) of Real Gas using Wohl Equation given Actual and Critical Parameters using the formula - 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)). 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]*(Reduced Temperature*(Temperature of Real Gas/Reduced Temperature)))/((Reduced Molar Volume for P-R Method*(Molar Volume of Real Gas/Reduced Molar Volume for P-R Method))-Wohl Parameter b))+(Wohl Parameter c/(((Reduced Temperature*(Temperature of Real Gas/Reduced Temperature))^2)*((Reduced Molar Volume for P-R Method*(Molar Volume of Real Gas/Reduced Molar Volume for P-R Method))^3)))-(Reduced Pressure*(Pressure of Gas/Reduced Pressure)))*((Reduced Temperature*(Temperature of Real Gas/Reduced Temperature))*(Reduced Molar Volume for P-R Method*(Molar Volume of Real Gas/Reduced Molar Volume for P-R Method))*((Reduced Molar Volume for P-R Method*(Molar Volume of Real Gas/Reduced Molar Volume for P-R Method))-Wohl Parameter b))

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

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

Wohl Parameter (a) of Real Gas using Wohl Equation given Actual 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 Actual and Critical Parameters?

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

Variable Name

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

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