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%

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

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

Formula

`"P"_{"rg"} = (("[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)))`

Example

`"3065.937Pa"=(("[R]"*("1.46"*"154.4K"))/(("246.78"*"0.0025m³/mol")-"0.00625"))-("266"/(("1.46"*"154.4K")*("246.78"*"0.0025m³/mol")*(("246.78"*"0.0025m³/mol")-"0.00625")))+("21"/((("1.46"*"154.4K")^2)*(("246.78"*"0.0025m³/mol")^3)))`

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

STEP 0: Pre-Calculation Summary

Formula Used

Pressure of Gas = (([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)))
P_rg = (([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)))
This formula uses 1 Constants, 8 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

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.
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.

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_rg = (([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))) --> (([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)))

Evaluating ... ...

P_rg = 3065.9372253549

STEP 3: Convert Result to Output's Unit

3065.9372253549 Pascal --> No Conversion Required

FINAL ANSWER

3065.9372253549 ≈ 3065.937 Pascal <-- Pressure of Gas

(Calculation completed in 00.004 seconds)

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

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< 4 Temperature and Pressure of Real Gas using Wohl Equation Calculators

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

Go Pressure of Gas = (([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)))

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

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

Pressure of Real Gas using Wohl Equation

Go Pressure of Gas = (([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)))

Temperature of Real Gas using Wohl Equation

Go Temperature of Real Gas = [R]/((Pressure of Gas+(Wohl Parameter a/(Molar Volume of Real Gas*(Molar Volume of Real Gas-Wohl Parameter b)))-(Wohl Parameter c/((Molar Volume of Real Gas^3))))*(Molar Volume of Real Gas-Wohl Parameter b))

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

Pressure of Real Gas using Wohl Equation given Reduced and Critical Parameters calculator uses Pressure of Gas = (([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))) to calculate the Pressure of Gas, The Pressure of Real Gas using Wohl Equation given Reduced and Critical Parameters formula is defined as the volume occupied by one mole of any gas, at room temperature and pressure. Pressure of Gas is denoted by P_rg symbol.

How to calculate Pressure of Real Gas using Wohl Equation given Reduced and Critical Parameters using this online calculator? To use this online calculator for 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) and hit the calculate button. Here is how the Pressure of Real Gas using Wohl Equation given Reduced and Critical Parameters calculation can be explained with given input values -> -232592.145917 = (([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))).

FAQ

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

The Pressure of Real Gas using Wohl Equation given Reduced and Critical Parameters formula is defined as the volume occupied by one mole of any gas, at room temperature and pressure and is represented as P_rg = (([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))) or Pressure of Gas = (([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 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.

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

The Pressure of Real Gas using Wohl Equation given Reduced and Critical Parameters formula is defined as the volume occupied by one mole of any gas, at room temperature and pressure is calculated using Pressure of Gas = (([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))). To calculate 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). 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 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 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. We can use 1 other way(s) to calculate the same, which is/are as follows -

Pressure of Gas = (([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)))

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