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

STEP 0: Pre-Calculation Summary
Formula Used
Reduced Pressure = ((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)))
Pr = ((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 5 Variables
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.
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
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
Pr = ((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))) --> ((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 ... ...
Pr = 0.798445002134888
STEP 3: Convert Result to Output's Unit
0.798445002134888 --> No Conversion Required
FINAL ANSWER
0.798445002134888 0.798445 <-- 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 Reduced Wohl Equation given Actual and Critical Parameters Formula

​LaTeX ​Go
Reduced Pressure = ((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)))
Pr = ((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 Reduced Pressure of Real Gas using Reduced Wohl Equation given Actual and Critical Parameters?

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

How to calculate Reduced Pressure of Real Gas using Reduced Wohl Equation given Actual and Critical Parameters using this online calculator? To use this online calculator for Reduced Pressure of Real Gas using Reduced Wohl Equation given Actual and Critical Parameters, enter 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 Reduced Pressure of Real Gas using Reduced Wohl Equation given Actual and Critical Parameters calculation can be explained with given input values -> 0.115714 = ((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 Reduced Pressure of Real Gas using Reduced Wohl Equation given Actual and Critical Parameters?
The Reduced Pressure of Real Gas using Reduced Wohl Equation given Actual 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 Pr = ((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 Reduced Pressure = ((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))). 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 Reduced Pressure of Real Gas using Reduced Wohl Equation given Actual and Critical Parameters?
The Reduced Pressure of Real Gas using Reduced Wohl Equation given Actual 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 = ((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 Reduced Pressure of Real Gas using Reduced Wohl Equation given Actual and Critical Parameters, you need 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 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 Reduced Pressure?
In this formula, Reduced Pressure uses 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 -
  • 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 = ((([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)))
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