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

STEP 0: Pre-Calculation Summary
Formula Used
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))))
P,c = Prg/(((15*(Trg/T'c))/(4*((V'm/V'c)-(1/4))))-(6/((Trg/T'c)*(V'm/V'c)*((V'm/V'c)-(1/4))))+(4/(((Trg/T'c)^2)*((V'm/V'c)^3))))
This formula uses 6 Variables
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.
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.
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
Pressure of Gas: 10132 Pascal --> 10132 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,c = Prg/(((15*(Trg/T'c))/(4*((V'm/V'c)-(1/4))))-(6/((Trg/T'c)*(V'm/V'c)*((V'm/V'c)-(1/4))))+(4/(((Trg/T'c)^2)*((V'm/V'c)^3)))) --> 10132/(((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,c = 12689.6655034586
STEP 3: Convert Result to Output's Unit
12689.6655034586 Pascal --> No Conversion Required
FINAL ANSWER
12689.6655034586 12689.67 Pascal <-- Critical Pressure for Peng Robinson Model
(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)

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

​LaTeX ​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))))
P,c = Prg/(((15*(Trg/T'c))/(4*((V'm/V'c)-(1/4))))-(6/((Trg/T'c)*(V'm/V'c)*((V'm/V'c)-(1/4))))+(4/(((Trg/T'c)^2)*((V'm/V'c)^3))))

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 Reduced Wohl Equation given Actual and Critical Parameters?

Critical Pressure of Real Gas using Reduced Wohl Equation given Actual and Critical Parameters calculator uses 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)))) to calculate the Critical Pressure for Peng Robinson Model, The Critical Pressure of Real Gas using Reduced Wohl Equation given Actual and Critical 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 Reduced Wohl Equation given Actual and Critical Parameters using this online calculator? To use this online calculator for Critical Pressure of Real Gas using Reduced Wohl Equation given Actual and Critical Parameters, enter Pressure of Gas (Prg), Temperature of Real Gas (Trg), 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 Critical Pressure of Real Gas using Reduced Wohl Equation given Actual and Critical Parameters calculation can be explained with given input values -> 87560.71 = 10132/(((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 Critical Pressure of Real Gas using Reduced Wohl Equation given Actual and Critical Parameters?
The Critical Pressure of Real Gas using Reduced Wohl Equation given Actual and Critical Parameters formula is defined as the minimum pressure required to liquefy a substance at the critical temperature and is represented as P,c = Prg/(((15*(Trg/T'c))/(4*((V'm/V'c)-(1/4))))-(6/((Trg/T'c)*(V'm/V'c)*((V'm/V'c)-(1/4))))+(4/(((Trg/T'c)^2)*((V'm/V'c)^3)))) or 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)))). Pressure of Gas is the force applied perpendicular to the surface of an object per unit area over which that force is distributed, 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 Critical Pressure of Real Gas using Reduced Wohl Equation given Actual and Critical Parameters?
The Critical Pressure of Real Gas using Reduced Wohl Equation given Actual and Critical 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 = 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)))). To calculate Critical Pressure of Real Gas using Reduced Wohl Equation given Actual and Critical Parameters, you need Pressure of Gas (Prg), Temperature of Real Gas (Trg), 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 Pressure of Gas, 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 Critical Pressure for Peng Robinson Model?
In this formula, Critical Pressure for Peng Robinson Model uses Pressure of Gas, Temperature of Real Gas, Critical Temperature of Real Gas, Molar Volume of Real Gas & Critical Molar Volume for Peng Robinson Model. We can use 3 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)
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