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

STEP 0: Pre-Calculation Summary
Formula Used
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
Pr = ((([R]*Trg)/(V'm-b))-(a/(Trg*V'm*(V'm-b)))+(c/((Trg^2)*(V'm^3))))/P,c
This formula uses 1 Constants, 7 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.
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.
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
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
Critical Pressure for Peng Robinson Model: 4600000 Pascal --> 4600000 Pascal No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pr = ((([R]*Trg)/(V'm-b))-(a/(Trg*V'm*(V'm-b)))+(c/((Trg^2)*(V'm^3))))/P,c --> ((([R]*300)/(0.0224-0.00625))-(266/(300*0.0224*(0.0224-0.00625)))+(21/((300^2)*(0.0224^3))))/4600000
Evaluating ... ...
Pr = 0.0330473917117629
STEP 3: Convert Result to Output's Unit
0.0330473917117629 --> No Conversion Required
FINAL ANSWER
0.0330473917117629 0.033047 <-- Reduced Pressure
(Calculation completed in 00.004 seconds)

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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)

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

​LaTeX ​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
Pr = ((([R]*Trg)/(V'm-b))-(a/(Trg*V'm*(V'm-b)))+(c/((Trg^2)*(V'm^3))))/P,c

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 Critical and Actual Parameters?

Reduced Pressure of Real Gas using Wohl Equation given Critical and Actual Parameters calculator uses 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 to calculate the Reduced Pressure, The Reduced Pressure of Real Gas using Wohl Equation given Critical and Actual 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 Pr symbol.

How to calculate Reduced Pressure of Real Gas using Wohl Equation given Critical and Actual Parameters using this online calculator? To use this online calculator for Reduced Pressure of Real Gas using Wohl Equation given Critical and Actual Parameters, enter Temperature of Real Gas (Trg), Molar Volume of Real Gas (V'm), 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 Critical and Actual Parameters calculation can be explained with given input values -> 0.007689 = ((([R]*300)/(0.0224-0.00625))-(266/(300*0.0224*(0.0224-0.00625)))+(21/((300^2)*(0.0224^3))))/4600000.

FAQ

What is Reduced Pressure of Real Gas using Wohl Equation given Critical and Actual Parameters?
The Reduced Pressure of Real Gas using Wohl Equation given Critical and Actual 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 Pr = ((([R]*Trg)/(V'm-b))-(a/(Trg*V'm*(V'm-b)))+(c/((Trg^2)*(V'm^3))))/P,c or 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. 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 & 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 Critical and Actual Parameters?
The Reduced Pressure of Real Gas using Wohl Equation given Critical and Actual 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]*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. To calculate Reduced Pressure of Real Gas using Wohl Equation given Critical and Actual Parameters, you need Temperature of Real Gas (Trg), Molar Volume of Real Gas (V'm), 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 Temperature of Real Gas, Molar Volume of Real Gas, 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 Temperature of Real Gas, Molar Volume of Real Gas, 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]*(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 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)))
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