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

✖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%
✖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%
✖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%
✖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%
✖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%

✖Pressure of Gas is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.ⓘ Actual Pressure of Real Gas using Reduced Wohl Equation given Actual and Critical Parameters [P_rg]

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Formula

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

Formula

`"P"_{"rg"} = "P,"_{"c"}*(((15*("T"_{"rg"}/"T'"_{"c"}))/(4*(("V'"_{"m"}/"V'"_{"c"})-(1/4))))-(6/(("T"_{"rg"}/"T'"_{"c"})*("V'"_{"m"}/"V'"_{"c"})*(("V'"_{"m"}/"V'"_{"c"})-(1/4))))+(4/((("T"_{"rg"}/"T'"_{"c"})^2)*(("V'"_{"m"}/"V'"_{"c"})^3))))`

Example

`"3.7E^6Pa"="4.6E^6Pa"*(((15*("300K"/"154.4K"))/(4*(("0.0224m³"/"0.0025m³/mol")-(1/4))))-(6/(("300K"/"154.4K")*("0.0224m³"/"0.0025m³/mol")*(("0.0224m³"/"0.0025m³/mol")-(1/4))))+(4/((("300K"/"154.4K")^2)*(("0.0224m³"/"0.0025m³/mol")^3))))`

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

STEP 0: Pre-Calculation Summary

Formula Used

Pressure of Gas = Critical Pressure for Peng Robinson Model*(((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))))
P_rg = P,_c*(((15*(T_rg/T'_c))/(4*((V'_m/V'_c)-(1/4))))-(6/((T_rg/T'_c)*(V'_m/V'_c)*((V'_m/V'_c)-(1/4))))+(4/(((T_rg/T'_c)^2)*((V'_m/V'_c)^3))))
This formula uses 6 Variables

Variables Used

Pressure of Gas - (Measured in Pascal) - Pressure of Gas is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.
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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Critical Pressure for Peng Robinson Model: 4600000 Pascal --> 4600000 Pascal No Conversion Required
Temperature of Real Gas: 300 Kelvin --> 300 Kelvin No Conversion Required
Critical Temperature of Real Gas: 154.4 Kelvin --> 154.4 Kelvin No Conversion Required
Molar Volume of Real Gas: 0.0224 Cubic Meter --> 0.0224 Cubic Meter 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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_rg = P,_c*(((15*(T_rg/T'_c))/(4*((V'_m/V'_c)-(1/4))))-(6/((T_rg/T'_c)*(V'_m/V'_c)*((V'_m/V'_c)-(1/4))))+(4/(((T_rg/T'_c)^2)*((V'_m/V'_c)^3)))) --> 4600000*(((15*(300/154.4))/(4*((0.0224/0.0025)-(1/4))))-(6/((300/154.4)*(0.0224/0.0025)*((0.0224/0.0025)-(1/4))))+(4/(((300/154.4)^2)*((0.0224/0.0025)^3))))

Evaluating ... ...

P_rg = 3672847.00982048

STEP 3: Convert Result to Output's Unit

3672847.00982048 Pascal --> No Conversion Required

FINAL ANSWER

3672847.00982048 ≈ 3.7E+6 Pascal <-- Pressure of Gas

(Calculation completed in 00.004 seconds)

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

Go Pressure of Gas = Critical Pressure for Peng Robinson Model*(((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))))

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

Go Pressure of Gas = Critical Pressure for Peng Robinson Model*(((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))))

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Actual Pressure of Real Gas using Reduced Wohl Equation given Actual and Critical Parameters calculator uses Pressure of Gas = Critical Pressure for Peng Robinson Model*(((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)))) to calculate the Pressure of Gas, The Actual Pressure of Real Gas using Reduced Wohl Equation given Actual and Critical Parameters formula is defined as the force that the gas exerts on the container boundaries. Pressure of Gas is denoted by P_rg symbol.

How to calculate Actual Pressure of Real Gas using Reduced Wohl Equation given Actual and Critical Parameters using this online calculator? To use this online calculator for Actual Pressure of Real Gas using Reduced Wohl Equation given Actual and Critical Parameters, enter Critical Pressure for Peng Robinson Model (P,_c), 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) and hit the calculate button. Here is how the Actual Pressure of Real Gas using Reduced Wohl Equation given Actual and Critical Parameters calculation can be explained with given input values -> 532284.4 = 4600000*(((15*(300/154.4))/(4*((0.0224/0.0025)-(1/4))))-(6/((300/154.4)*(0.0224/0.0025)*((0.0224/0.0025)-(1/4))))+(4/(((300/154.4)^2)*((0.0224/0.0025)^3)))).

FAQ

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

The Actual Pressure of Real Gas using Reduced Wohl Equation given Actual and Critical Parameters formula is defined as the force that the gas exerts on the container boundaries and is represented as P_rg = P,_c*(((15*(T_rg/T'_c))/(4*((V'_m/V'_c)-(1/4))))-(6/((T_rg/T'_c)*(V'_m/V'_c)*((V'_m/V'_c)-(1/4))))+(4/(((T_rg/T'_c)^2)*((V'_m/V'_c)^3)))) or Pressure of Gas = Critical Pressure for Peng Robinson Model*(((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)))). Critical Pressure for Peng Robinson Model is the minimum pressure required to liquify a substance at the critical temperature, Temperature of Real Gas is the degree or intensity of heat present in a substance or object, 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, 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 & Critical Molar Volume for Peng Robinson Model is the volume occupied by gas at critical temperature and pressure per mole.

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

The Actual Pressure of Real Gas using Reduced Wohl Equation given Actual and Critical Parameters formula is defined as the force that the gas exerts on the container boundaries is calculated using Pressure of Gas = Critical Pressure for Peng Robinson Model*(((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)))). To calculate Actual Pressure of Real Gas using Reduced Wohl Equation given Actual and Critical Parameters, you need Critical Pressure for Peng Robinson Model (P,_c), 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). With our tool, you need to enter the respective value for Critical Pressure for Peng Robinson Model, Temperature of Real Gas, Critical Temperature of Real Gas, Molar Volume of Real Gas & Critical Molar Volume for Peng Robinson Model 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 Pressure of Gas?

In this formula, Pressure of Gas uses Critical Pressure for Peng Robinson Model, Temperature of Real Gas, Critical Temperature of Real Gas, Molar Volume of Real Gas & Critical Molar Volume for Peng Robinson Model. We can use 9 other way(s) to calculate the same, which is/are as follows -

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

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