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

✖Temperature of Real Gas is the degree or intensity of heat present in a substance or object.ⓘ Temperature of Real Gas [T_rg]			+10% -10%
✖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.ⓘ Molar Volume of Real Gas [V'_m]			+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 Actual Parameters [P,_c]

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Formula

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

Formula

`"P,"_{"c"} = ((("[R]"*"T"_{"rg"})/("V'"_{"m"}-"b"))-("a"/("T"_{"rg"}*"V'"_{"m"}*("V'"_{"m"}-"b")))+("c"/(("T"_{"rg"}^2)*("V'"_{"m"}^3))))/"P"_{"r"}`

Example

`"6.3E^7Pa"=((("[R]"*"300K")/("0.0224m³"-"0.00625"))-("266"/("300K"*"0.0224m³"*("0.0224m³"-"0.00625")))+("21"/((("300K")^2)*(("0.0224m³")^3))))/"0.0024"`

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

STEP 0: Pre-Calculation Summary

Formula Used

Critical Pressure for Peng Robinson Model = ((([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))))/Reduced Pressure
P,_c = ((([R]*T_rg)/(V'_m-b))-(a/(T_rg*V'_m*(V'_m-b)))+(c/((T_rg^2)*(V'_m^3))))/P_r
This formula uses 1 Constants, 7 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.
Temperature of Real Gas - (Measured in Kelvin) - Temperature of Real Gas is the degree or intensity of heat present in a substance or object.
Molar Volume of Real Gas - (Measured in Cubic Meter) - 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.
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

Temperature of Real Gas: 300 Kelvin --> 300 Kelvin No Conversion Required
Molar Volume of Real Gas: 0.0224 Cubic Meter --> 0.0224 Cubic Meter 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_rg)/(V'_m-b))-(a/(T_rg*V'_m*(V'_m-b)))+(c/((T_rg^2)*(V'_m^3))))/P_r --> ((([R]*300)/(0.0224-0.00625))-(266/(300*0.0224*(0.0224-0.00625)))+(21/((300^2)*(0.0224^3))))/0.0024

Evaluating ... ...

P,_c = 63340834.1142123

STEP 3: Convert Result to Output's Unit

63340834.1142123 Pascal --> No Conversion Required

FINAL ANSWER

63340834.1142123 ≈ 6.3E+7 Pascal <-- Critical Pressure for Peng Robinson Model

(Calculation completed in 00.004 seconds)

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< 24 Wohl Model of Real Gas Calculators

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

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

Go Reduced Pressure = ((([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))))/Critical Pressure for Peng Robinson Model

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

Go Critical Pressure for Peng Robinson Model = Pressure of Gas/(((15*(Temperature of Real Gas/Critical Temperature of Real Gas))/(4*((Molar Volume of Real Gas/Critical Molar Volume for Peng Robinson Model)-(1/4))))-(6/((Temperature of Real Gas/Critical Temperature of Real Gas)*(Molar Volume of Real Gas/Critical Molar Volume for Peng Robinson Model)*((Molar Volume of Real Gas/Critical Molar Volume for Peng Robinson Model)-(1/4))))+(4/(((Temperature of Real Gas/Critical Temperature of Real Gas)^2)*((Molar Volume of Real Gas/Critical Molar Volume for Peng Robinson Model)^3))))

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

Go Reduced Pressure = ((15*(Temperature of Real Gas/Critical Temperature of Real Gas))/(4*((Molar Volume of Real Gas/Critical Molar Volume for Peng Robinson Model)-(1/4))))-(6/((Temperature of Real Gas/Critical Temperature of Real Gas)*(Molar Volume of Real Gas/Critical Molar Volume for Peng Robinson Model)*((Molar Volume of Real Gas/Critical Molar Volume for Peng Robinson Model)-(1/4))))+(4/(((Temperature of Real Gas/Critical Temperature of Real Gas)^2)*((Molar Volume of Real Gas/Critical Molar Volume for Peng Robinson Model)^3)))

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

Go Reduced Pressure = ((([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))))/Critical Pressure for Peng Robinson Model

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

Go Critical Pressure for Peng Robinson Model = ((([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))))/Reduced Pressure

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

Go Critical Pressure for Peng Robinson Model = Pressure of Gas/(((15*Reduced Temperature)/(4*(Reduced Molar Volume for P-R Method-(1/4))))-(6/(Reduced Temperature*Reduced Molar Volume for P-R Method*(Reduced Molar Volume for P-R Method-(1/4))))+(4/((Reduced Temperature^2)*(Reduced Molar Volume for P-R Method^3))))

Reduced Pressure of Real Gas using Reduced Wohl Equation given Reduced Parameters

Go Reduced Pressure = ((15*Reduced Temperature)/(4*(Reduced Molar Volume for P-R Method-(1/4))))-(6/(Reduced Temperature*Reduced Molar Volume for P-R Method*(Reduced Molar Volume for P-R Method-(1/4))))+(4/((Reduced Temperature^2)*(Reduced Molar Volume for P-R Method^3)))

Reduced Pressure of Real Gas given Wohl Parameter c and Actual and Reduced Parameters

Go Reduced Pressure = Pressure of Gas/(Wohl Parameter c/(4*((Temperature of Real Gas/Reduced Temperature)^2)*((Molar Volume of Real Gas/Reduced Molar Volume for P-R Method)^3)))

Reduced Pressure of Real Gas using Wohl parameter a, and Actual and Reduced Parameters

Go Reduced Pressure = Pressure of Gas/(Wohl Parameter a/(6*(Temperature of Real Gas/Reduced Temperature)*((Molar Volume of Real Gas/Reduced Molar Volume for P-R Method)^2)))

Reduced Pressure of Wohl's Real Gas using other Actual and Reduced Parameters

Go Reduced Pressure = Pressure of Gas/((4*[R]*(Temperature of Real Gas/Reduced Temperature))/(15*(Molar Volume of Real Gas/Reduced Molar Volume for P-R Method)))

Critical Pressure of Real Gas given Wohl Parameter c and other Actual and Reduced Parameters

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

Critical Pressure of Real Gas given Wohl Parameter a, and other Actual and Reduced Parameters

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

Critical Pressure of Wohl's Real Gas using other Actual and Reduced Parameters

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

Reduced Pressure of Real Gas given Wohl Parameter c and Actual and Critical Parameters

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

Reduced Pressure of Real Gas given Wohl Parameter b and Actual and Reduced Parameters

Go Reduced Pressure = Pressure of Gas/(([R]*(Temperature of Real Gas/Reduced Temperature))/(15*Wohl Parameter b))

Reduced Pressure of Real Gas given Wohl Parameter a, and Actual and Critical Parameters

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

Reduced Pressure of Wohl's Real Gas using other Actual and Critical Parameters

Go Reduced Pressure = Pressure of Gas/((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 c

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 given Wohl Parameter b and other Actual and Reduced Parameters

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

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

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

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

Reduced Pressure of Real Gas given Wohl Parameter b and Actual and Critical Parameters

Go Reduced Pressure = Pressure of Gas/(([R]*Critical Temperature of Real Gas)/(15*Wohl Parameter b))

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

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 Actual Parameters Formula

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 Actual Parameters?

Critical Pressure of Real Gas using Wohl Equation given Reduced and Actual Parameters calculator uses Critical Pressure for Peng Robinson Model = ((([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))))/Reduced Pressure to calculate the Critical Pressure for Peng Robinson Model, The Critical Pressure of Real Gas using Wohl Equation given Reduced and Actual Parameters formula is defined as the minimum pressure required to liquefy 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 Actual Parameters using this online calculator? To use this online calculator for Critical Pressure of Real Gas using Wohl Equation given Reduced and Actual Parameters, enter Temperature of Real Gas (T_rg), Molar Volume of Real Gas (V'_m), 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 Actual Parameters calculation can be explained with given input values -> 1.5E+7 = ((([R]*300)/(0.0224-0.00625))-(266/(300*0.0224*(0.0224-0.00625)))+(21/((300^2)*(0.0224^3))))/0.0024.

FAQ

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

The Critical Pressure of Real Gas using Wohl Equation given Reduced and Actual Parameters formula is defined as the minimum pressure required to liquefy a substance at the critical temperature and is represented as P,_c = ((([R]*T_rg)/(V'_m-b))-(a/(T_rg*V'_m*(V'_m-b)))+(c/((T_rg^2)*(V'_m^3))))/P_r or Critical Pressure for Peng Robinson Model = ((([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))))/Reduced Pressure. Temperature of Real Gas is the degree or intensity of heat present in a substance or object, 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, 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 Actual Parameters?

The Critical Pressure of Real Gas using Wohl Equation given Reduced and Actual Parameters formula is defined as the minimum pressure required to liquefy a substance at the critical temperature is calculated using Critical Pressure for Peng Robinson Model = ((([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))))/Reduced Pressure. To calculate Critical Pressure of Real Gas using Wohl Equation given Reduced and Actual Parameters, you need Temperature of Real Gas (T_rg), Molar Volume of Real Gas (V'_m), 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 Temperature of Real Gas, Molar Volume of Real Gas, 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 Temperature of Real Gas, Molar Volume of Real Gas, Wohl Parameter b, Wohl Parameter a, Wohl Parameter c & Reduced Pressure. We can use 11 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)
Critical Pressure for Peng Robinson Model = (4*[R]*Critical Temperature of Real Gas)/(15*Critical Molar Volume for Peng Robinson Model)
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
Critical Pressure for Peng Robinson Model = Wohl Parameter a/(6*(Temperature of Real Gas/Reduced Temperature)*((Molar Volume of Real Gas/Reduced Molar Volume for P-R Method)^2))
Critical Pressure for Peng Robinson Model = Wohl Parameter c/(4*((Temperature of Real Gas/Reduced Temperature)^2)*((Molar Volume of Real Gas/Reduced Molar Volume for P-R Method)^3))
Critical Pressure for Peng Robinson Model = ([R]*(Temperature of Real Gas/Reduced Temperature))/(15*Wohl Parameter b)
Critical Pressure for Peng Robinson Model = (4*[R]*(Temperature of Real Gas/Reduced Temperature))/(15*(Molar Volume of Real Gas/Reduced Molar Volume for P-R Method))
Critical Pressure for Peng Robinson Model = Pressure of Gas/(((15*Reduced Temperature)/(4*(Reduced Molar Volume for P-R Method-(1/4))))-(6/(Reduced Temperature*Reduced Molar Volume for P-R Method*(Reduced Molar Volume for P-R Method-(1/4))))+(4/((Reduced Temperature^2)*(Reduced Molar Volume for P-R Method^3))))
Critical Pressure for Peng Robinson Model = Pressure of Gas/(((15*(Temperature of Real Gas/Critical Temperature of Real Gas))/(4*((Molar Volume of Real Gas/Critical Molar Volume for Peng Robinson Model)-(1/4))))-(6/((Temperature of Real Gas/Critical Temperature of Real Gas)*(Molar Volume of Real Gas/Critical Molar Volume for Peng Robinson Model)*((Molar Volume of Real Gas/Critical Molar Volume for Peng Robinson Model)-(1/4))))+(4/(((Temperature of Real Gas/Critical Temperature of Real Gas)^2)*((Molar Volume of Real Gas/Critical Molar Volume for Peng Robinson Model)^3))))

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