Reduced 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%
✖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%

✖Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless.ⓘ Reduced Pressure of Real Gas using Wohl Equation given Reduced and Critical Parameters [P_r]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Real Gas Formula PDF PDF Image

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

STEP 0: Pre-Calculation Summary

Formula Used

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
P_r = ((([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,_c
This formula uses 1 Constants, 9 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

Reduced Pressure - Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless.
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.
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.

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
Critical Pressure for Peng Robinson Model: 4600000 Pascal --> 4600000 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_r = ((([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,_c --> ((([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))))/4600000

Evaluating ... ...

P_r = 0.000666508092468457

STEP 3: Convert Result to Output's Unit

0.000666508092468457 --> No Conversion Required

FINAL ANSWER

0.000666508092468457 ≈ 0.000667 <-- Reduced Pressure

(Calculation completed in 00.035 seconds)

You are here -

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

Credits

Created by Prerana Bakli

University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA

Prerana Bakli has created this Calculator and 800+ more calculators!

Verified by Prashant Singh

K J Somaiya College of science (K J Somaiya), Mumbai

Prashant Singh has verified this Calculator and 500+ more calculators!

< 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)

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

Reduced Pressure of Real Gas using Wohl Equation given Reduced and Critical Parameters calculator uses 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 to calculate the Reduced Pressure, The Reduced Pressure of Real Gas using Wohl Equation given Reduced and Critical Parameters formula is defined as the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless. Reduced Pressure is denoted by P_r symbol.

How to calculate Reduced Pressure of Real Gas using Wohl Equation given Reduced and Critical Parameters using this online calculator? To use this online calculator for Reduced 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) & Critical Pressure for Peng Robinson Model (P,_c) and hit the calculate button. Here is how the Reduced Pressure of Real Gas using Wohl Equation given Reduced and Critical Parameters calculation can be explained with given input values -> -0.050564 = ((([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))))/4600000.

FAQ

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

The Reduced Pressure of Real Gas using Wohl Equation given Reduced and Critical Parameters formula is defined as the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless and is represented as P_r = ((([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,_c or 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. 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 & Critical Pressure for Peng Robinson Model is the minimum pressure required to liquify a substance at the critical temperature.

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

The Reduced Pressure of Real Gas using Wohl Equation given Reduced and Critical Parameters formula is defined as the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless is calculated using 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. To calculate Reduced 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) & Critical Pressure for Peng Robinson Model (P,_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 & Critical Pressure 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 Reduced Pressure?

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

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

Home

FREE PDFs

🔍 Search