Wohl Parameter (b) of Real Gas using Wohl Equation given Reduced and Critical Parameters Calculator

✖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.ⓘ Reduced Molar Volume for P-R Method [V'_r]			+10% -10%
✖Critical Molar Volume for Peng Robinson Model is the volume occupied by gas at critical temperature and pressure per mole.ⓘ Critical Molar Volume for Peng Robinson Model [V'_c]			+10% -10%
✖Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless.ⓘ Reduced Temperature [T_r]			+10% -10%
✖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.ⓘ Critical Temperature of Real Gas [T'_c]			+10% -10%
✖Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless.ⓘ Reduced Pressure [P_r]			+10% -10%
✖Critical Pressure for Peng Robinson Model is the minimum pressure required to liquify a substance at the critical temperature.ⓘ Critical Pressure for Peng Robinson Model [P,_c]			+10% -10%
✖Wohl parameter a is an empirical parameter characteristic to equation obtained from Wohl model of real gas.ⓘ Wohl Parameter a [a]			+10% -10%
✖Wohl parameter c is an empirical parameter characteristic to equation obtained from Wohl model of real gas.ⓘ Wohl Parameter c [c]			+10% -10%

✖Wohl parameter b is an empirical parameter characteristic to equation obtained from Wohl model of real gas.ⓘ Wohl Parameter (b) of Real Gas using Wohl Equation given Reduced and Critical Parameters [b]

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

STEP 0: Pre-Calculation Summary

Formula Used

Wohl Parameter b = (Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)-(([R]*(Reduced Temperature*Critical Temperature of Real Gas))/((Reduced Pressure*Critical Pressure for Peng Robinson Model)+(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 c/(((Reduced Temperature*Critical Temperature of Real Gas)^2)*((Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)^3)))))
b = (V'_r*V'_c)-(([R]*(T_r*T'_c))/((P_r*P,_c)+(a/((T_r*T'_c)*(V'_r*V'_c)*(V'_r*V'_c)))-(c/(((T_r*T'_c)^2)*((V'_r*V'_c)^3)))))
This formula uses 1 Constants, 9 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

Wohl Parameter b - Wohl parameter b is an empirical parameter characteristic to equation obtained from Wohl model 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.
Critical Molar Volume for Peng Robinson Model - (Measured in Cubic Meter per Mole) - Critical Molar Volume for Peng Robinson Model is the volume occupied by gas at critical temperature and pressure per mole.
Reduced Temperature - Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless.
Critical Temperature of Real Gas - (Measured in Kelvin) - 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.
Reduced Pressure - Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless.
Critical Pressure for Peng Robinson Model - (Measured in Pascal) - Critical Pressure for Peng Robinson Model is the minimum pressure required to liquify a substance at the critical temperature.
Wohl Parameter a - Wohl parameter a is an empirical parameter characteristic to equation obtained from Wohl model of real gas.
Wohl Parameter c - Wohl parameter c is an empirical parameter characteristic to equation obtained from Wohl model of real gas.

STEP 1: Convert Input(s) to Base Unit

Reduced Molar Volume for P-R Method: 246.78 --> No Conversion Required
Critical Molar Volume for Peng Robinson Model: 0.0025 Cubic Meter per Mole --> 0.0025 Cubic Meter per Mole No Conversion Required
Reduced Temperature: 1.46 --> No Conversion Required
Critical Temperature of Real Gas: 154.4 Kelvin --> 154.4 Kelvin No Conversion Required
Reduced Pressure: 0.0024 --> No Conversion Required
Critical Pressure for Peng Robinson Model: 4600000 Pascal --> 4600000 Pascal No Conversion Required
Wohl Parameter a: 266 --> No Conversion Required
Wohl Parameter c: 21 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

b = (V'_r*V'_c)-(([R]*(T_r*T'_c))/((P_r*P,_c)+(a/((T_r*T'_c)*(V'_r*V'_c)*(V'_r*V'_c)))-(c/(((T_r*T'_c)^2)*((V'_r*V'_c)^3))))) --> (246.78*0.0025)-(([R]*(1.46*154.4))/((0.0024*4600000)+(266/((1.46*154.4)*(246.78*0.0025)*(246.78*0.0025)))-(21/(((1.46*154.4)^2)*((246.78*0.0025)^3)))))

Evaluating ... ...

b = 0.447225946440261

STEP 3: Convert Result to Output's Unit

0.447225946440261 --> No Conversion Required

FINAL ANSWER

0.447225946440261 ≈ 0.447226 <-- Wohl Parameter b

(Calculation completed in 00.004 seconds)

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Home » Chemistry » Kinetic Theory of Gases » Real Gas » Wohl Model of Real Gas » Wohl Parameter » Wohl Parameter (b) of Real Gas using Wohl Equation given Reduced and Critical Parameters

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< Wohl Parameter Calculators

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

LaTeX Go 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))

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

LaTeX Go 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))

Wohl Parameter (a) of Real Gas using Wohl Equation

LaTeX Go 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) of Real Gas using Actual and Reduced Parameters

LaTeX Go 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 (b) of Real Gas using Wohl Equation given Reduced and Critical Parameters Formula

LaTeX Go

What are Real Gases?

Real gases are non ideal gases whose molecules occupy space and have interactions; consequently, they do not adhere to the ideal gas law. To understand the behavior of real gases, the following must be taken into account:
- compressibility effects;
- variable specific heat capacity;
- van der Waals forces;
- non-equilibrium thermodynamic effects;
- issues with molecular dissociation and elementary reactions with variable composition.

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

Wohl Parameter (b) of Real Gas using Wohl Equation given Reduced and Critical Parameters calculator uses Wohl Parameter b = (Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)-(([R]*(Reduced Temperature*Critical Temperature of Real Gas))/((Reduced Pressure*Critical Pressure for Peng Robinson Model)+(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 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 calculate the Wohl Parameter b, The Wohl Parameter (b) 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 b is denoted by b symbol.

How to calculate Wohl Parameter (b) of Real Gas using Wohl Equation given Reduced and Critical Parameters using this online calculator? To use this online calculator for Wohl Parameter (b) of Real Gas using Wohl Equation given Reduced and Critical Parameters, enter Reduced Molar Volume for P-R Method (V'_r), Critical Molar Volume for Peng Robinson Model (V'_c), Reduced Temperature (T_r), Critical Temperature of Real Gas (T'_c), Reduced Pressure (P_r), Critical Pressure for Peng Robinson Model (P,_c), Wohl Parameter a (a) & Wohl Parameter c (c) and hit the calculate button. Here is how the Wohl Parameter (b) of Real Gas using Wohl Equation given Reduced and Critical Parameters calculation can be explained with given input values -> 0.447226 = (246.78*0.0025)-(([R]*(1.46*154.4))/((0.0024*4600000)+(266/((1.46*154.4)*(246.78*0.0025)*(246.78*0.0025)))-(21/(((1.46*154.4)^2)*((246.78*0.0025)^3))))).

FAQ

What is Wohl Parameter (b) of Real Gas using Wohl Equation given Reduced and Critical Parameters?

The Wohl Parameter (b) 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 and is represented as b = (V'_r*V'_c)-(([R]*(T_r*T'_c))/((P_r*P,_c)+(a/((T_r*T'_c)*(V'_r*V'_c)*(V'_r*V'_c)))-(c/(((T_r*T'_c)^2)*((V'_r*V'_c)^3))))) or Wohl Parameter b = (Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)-(([R]*(Reduced Temperature*Critical Temperature of Real Gas))/((Reduced Pressure*Critical Pressure for Peng Robinson Model)+(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 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 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, Critical Molar Volume for Peng Robinson Model is the volume occupied by gas at critical temperature and pressure per mole, Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless, 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, Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless, Critical Pressure for Peng Robinson Model is the minimum pressure required to liquify a substance at the critical temperature, Wohl parameter a is an empirical parameter characteristic to equation obtained from Wohl model of real gas & Wohl parameter c is an empirical parameter characteristic to equation obtained from Wohl model of real gas.

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

The Wohl Parameter (b) 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 is calculated using Wohl Parameter b = (Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)-(([R]*(Reduced Temperature*Critical Temperature of Real Gas))/((Reduced Pressure*Critical Pressure for Peng Robinson Model)+(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 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 calculate Wohl Parameter (b) of Real Gas using Wohl Equation given Reduced and Critical Parameters, you need Reduced Molar Volume for P-R Method (V'_r), Critical Molar Volume for Peng Robinson Model (V'_c), Reduced Temperature (T_r), Critical Temperature of Real Gas (T'_c), Reduced Pressure (P_r), Critical Pressure for Peng Robinson Model (P,_c), Wohl Parameter a (a) & Wohl Parameter c (c). With our tool, you need to enter the respective value for Reduced Molar Volume for P-R Method, Critical Molar Volume for Peng Robinson Model, Reduced Temperature, Critical Temperature of Real Gas, Reduced Pressure, Critical Pressure for Peng Robinson Model, Wohl Parameter a & Wohl Parameter c and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Wohl Parameter b?

In this formula, Wohl Parameter b uses Reduced Molar Volume for P-R Method, Critical Molar Volume for Peng Robinson Model, Reduced Temperature, Critical Temperature of Real Gas, Reduced Pressure, Critical Pressure for Peng Robinson Model, Wohl Parameter a & Wohl Parameter c. We can use 3 other way(s) to calculate the same, which is/are as follows -

Wohl Parameter b = (Molar Volume of Real Gas/Reduced Molar Volume for P-R Method)/4
Wohl Parameter b = ([R]*(Temperature of Real Gas/Reduced Temperature))/(15*(Pressure of Gas/Reduced Pressure))
Wohl Parameter b = Molar Volume of Real Gas-(([R]*Temperature of Real Gas)/(Pressure of Gas+(Wohl Parameter a/(Temperature of Real Gas*(Molar Volume of Real Gas^2)))-(Wohl Parameter c/((Temperature of Real Gas^2)*(Molar Volume of Real Gas^3)))))

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