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

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

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

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.
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 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.
Wohl Parameter b - Wohl parameter b is an empirical parameter characteristic to equation obtained from Wohl model of real gas.
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.
Reduced Pressure - Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless.

STEP 1: Convert Input(s) to Base Unit

Reduced Temperature: 1.46 --> No Conversion Required
Critical Temperature of Real Gas: 154.4 Kelvin --> 154.4 Kelvin No Conversion Required
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
Wohl Parameter b: 0.00625 --> No Conversion Required
Wohl Parameter a: 266 --> No Conversion Required
Wohl Parameter c: 21 --> No Conversion Required
Reduced Pressure: 0.0024 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P,_c = ((([R]*(T_r*T'_c))/((V'_r*V'_c)-b))-(a/((T_r*T'_c)*(V'_r*V'_c)*((V'_r*V'_c)-b)))+(c/(((T_r*T'_c)^2)*((V'_r*V'_c)^3))))/P_r --> ((([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))))/0.0024

Evaluating ... ...

P,_c = 1277473.84389788

STEP 3: Convert Result to Output's Unit

1277473.84389788 Pascal --> No Conversion Required

FINAL ANSWER

1277473.84389788 ≈ 1.3E+6 Pascal <-- Critical Pressure for Peng Robinson Model

(Calculation completed in 00.020 seconds)

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

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< Wohl Model of Real Gas Calculators

Critical Pressure of Real Gas using Wohl Equation given Wohl Parameter c

LaTeX Go Critical Pressure for Peng Robinson Model = Wohl Parameter c/(4*(Critical Temperature of Real Gas^2)*(Critical Molar Volume for Peng Robinson Model^3))

Critical Pressure of Real Gas using Wohl Equation given Wohl Parameter a

LaTeX Go Critical Pressure for Peng Robinson Model = Wohl Parameter a/(6*Critical Temperature of Real Gas*(Critical Molar Volume for Peng Robinson Model^2))

Critical Pressure of Wohl's Real Gas using other Critical Parameters

LaTeX Go Critical Pressure for Peng Robinson Model = (4*[R]*Critical Temperature of Real Gas)/(15*Critical Molar Volume for Peng Robinson Model)

Critical Pressure of Real Gas using Wohl Equation given Wohl Parameter b

LaTeX Go Critical Pressure for Peng Robinson Model = ([R]*Critical Temperature of Real Gas)/(15*Wohl Parameter b)

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

Critical Pressure of Real Gas using Wohl Equation given Reduced and Critical Parameters calculator uses Critical Pressure for Peng Robinson Model = ((([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))))/Reduced Pressure to calculate the Critical Pressure for Peng Robinson Model, The Critical Pressure of Real Gas using Wohl Equation given Reduced and Critical Parameters formula is defined as the minimum pressure required to liquify a substance at the critical temperature. Critical Pressure for Peng Robinson Model is denoted by P,_c symbol.

How to calculate Critical Pressure of Real Gas using Wohl Equation given Reduced and Critical Parameters using this online calculator? To use this online calculator for Critical 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) & Reduced Pressure (P_r) and hit the calculate button. Here is how the Critical Pressure of Real Gas using Wohl Equation given Reduced and Critical Parameters calculation can be explained with given input values -> -96913394.13217 = ((([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))))/0.0024.

FAQ

What is Critical Pressure of Real Gas using Wohl Equation given Reduced and Critical Parameters?

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

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

The Critical Pressure of Real Gas using Wohl Equation given Reduced and Critical Parameters formula is defined as the minimum pressure required to liquify a substance at the critical temperature is calculated using Critical Pressure for Peng Robinson Model = ((([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))))/Reduced Pressure. To calculate Critical Pressure of Real Gas using Wohl Equation given Reduced and Critical Parameters, you need 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) & Reduced Pressure (P_r). With our tool, you need to enter the respective value for 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, Wohl Parameter c & Reduced Pressure 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 Critical Pressure for Peng Robinson Model?

In this formula, Critical Pressure for Peng Robinson Model uses 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, Wohl Parameter c & Reduced Pressure. We can use 3 other way(s) to calculate the same, which is/are as follows -

Critical Pressure for Peng Robinson Model = Wohl Parameter a/(6*Critical Temperature of Real Gas*(Critical Molar Volume for Peng Robinson Model^2))
Critical Pressure for Peng Robinson Model = Wohl Parameter c/(4*(Critical Temperature of Real Gas^2)*(Critical Molar Volume for Peng Robinson Model^3))
Critical Pressure for Peng Robinson Model = ([R]*Critical Temperature of Real Gas)/(15*Wohl Parameter b)

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