Reduced Temperature of Real Gas given Wohl Parameter c and Actual and Reduced Parameters Solution

STEP 0: Pre-Calculation Summary
Formula Used
Reduced Temperature = Temperature of Real Gas/(sqrt(Wohl Parameter c/(4*(Pressure of Gas/Reduced Pressure)*((Molar Volume of Real Gas/Reduced Molar Volume for P-R Method)^3))))
Tr = Trg/(sqrt(c/(4*(Prg/Pr)*((V'm/V'r)^3))))
This formula uses 1 Functions, 7 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Reduced Temperature - Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. 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.
Wohl Parameter c - Wohl parameter c is an empirical parameter characteristic to equation obtained from Wohl model of real gas.
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 Pressure - Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Temperature of Real Gas: 300 Kelvin --> 300 Kelvin No Conversion Required
Wohl Parameter c: 21 --> No Conversion Required
Pressure of Gas: 10132 Pascal --> 10132 Pascal No Conversion Required
Reduced Pressure: 0.0024 --> No Conversion Required
Molar Volume of Real Gas: 0.0224 Cubic Meter --> 0.0224 Cubic Meter No Conversion Required
Reduced Molar Volume for P-R Method: 246.78 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Tr = Trg/(sqrt(c/(4*(Prg/Pr)*((V'm/V'r)^3)))) --> 300/(sqrt(21/(4*(10132/0.0024)*((0.0224/246.78)^3))))
Evaluating ... ...
Tr = 0.232643359340974
STEP 3: Convert Result to Output's Unit
0.232643359340974 --> No Conversion Required
FINAL ANSWER
0.232643359340974 0.232643 <-- Reduced Temperature
(Calculation completed in 00.004 seconds)

Credits

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University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
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10+ Reduced Temperature of Real Gas Calculators

Reduced Temperature of Real Gas using Wohl Equation given Reduced and Critical Parameters
Go Reduced Temperature = ([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)))/Critical Temperature of Real Gas
Reduced Temperature of Real Gas using Wohl Equation using Critical and Actual Parameters
Go Reduced Temperature = ([R]/((Pressure of Gas+(Wohl Parameter a/(Molar Volume*(Molar Volume-Wohl Parameter b)))-(Wohl Parameter c/((Molar Volume^3))))*(Molar Volume-Wohl Parameter b)))/Critical Temperature of Real Gas
Reduced Temperature of Real Gas given Wohl Parameter c and Actual and Reduced Parameters
Go Reduced Temperature = Temperature of Real Gas/(sqrt(Wohl Parameter c/(4*(Pressure of Gas/Reduced Pressure)*((Molar Volume of Real Gas/Reduced Molar Volume for P-R Method)^3))))
Reduced Temperature of Real Gas given Wohl Parameter a. and Actual and Reduced Parameters
Go Reduced Temperature = Pressure of Gas/(Wohl Parameter a/(6*(Pressure of Gas/Reduced Pressure)*((Molar Volume of Real Gas/Reduced Molar Volume for P-R Method)^2)))
Reduced Temperature of Wohl's Real Gas given other Actual and Reduced Parameters
Go Reduced Temperature = Temperature of Real Gas/((15*(Pressure of Gas/Reduced Pressure)*(Molar Volume of Real Gas/Reduced Molar Volume for P-R Method))/(4*[R]))
Reduced Temperature of Real Gas given Wohl Parameter c and Actual and Critical Parameters
Go Reduced Temperature = Temperature of Real Gas/(sqrt(Wohl Parameter c/(4*Critical Pressure for Peng Robinson Model*(Critical Molar Volume for Peng Robinson Model^3))))
Reduced Temperature of Real Gas given Wohl Parameter a, Actual and Critical Parameters
Go Reduced Temperature = Pressure of Gas/(Wohl Parameter a/(6*Critical Pressure for Peng Robinson Model*(Critical Molar Volume for Peng Robinson Model^2)))
Reduced Temperature of Wohl's Real Gas given other Actual and Critical Parameters
Go Reduced Temperature = Temperature of Real Gas/((15*Critical Pressure for Peng Robinson Model*Critical Molar Volume for Peng Robinson Model)/(4*[R]))
Reduced Temperature of Real Gas given Wohl Parameter b and Actual and Reduced Parameters
Go Reduced Temperature = Temperature of Real Gas/((Wohl Parameter b*15*(Pressure of Gas/Reduced Pressure))/[R])
Reduced Temperature of Real Gas given Wohl Parameter b and Actual and Critical Parameters
Go Reduced Temperature = Temperature of Real Gas/((Wohl Parameter b*15*Critical Pressure for Peng Robinson Model)/[R])

Reduced Temperature of Real Gas given Wohl Parameter c and Actual and Reduced Parameters Formula

Reduced Temperature = Temperature of Real Gas/(sqrt(Wohl Parameter c/(4*(Pressure of Gas/Reduced Pressure)*((Molar Volume of Real Gas/Reduced Molar Volume for P-R Method)^3))))
Tr = Trg/(sqrt(c/(4*(Prg/Pr)*((V'm/V'r)^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 Temperature of Real Gas given Wohl Parameter c and Actual and Reduced Parameters?

Reduced Temperature of Real Gas given Wohl Parameter c and Actual and Reduced Parameters calculator uses Reduced Temperature = Temperature of Real Gas/(sqrt(Wohl Parameter c/(4*(Pressure of Gas/Reduced Pressure)*((Molar Volume of Real Gas/Reduced Molar Volume for P-R Method)^3)))) to calculate the Reduced Temperature, The Reduced Temperature of Real Gas given Wohl Parameter c and Actual and Reduced Parameters formula is defined as the actual temperature of the fluid to its critical temperature. It is dimensionless. Reduced Temperature is denoted by Tr symbol.

How to calculate Reduced Temperature of Real Gas given Wohl Parameter c and Actual and Reduced Parameters using this online calculator? To use this online calculator for Reduced Temperature of Real Gas given Wohl Parameter c and Actual and Reduced Parameters, enter Temperature of Real Gas (Trg), Wohl Parameter c (c), Pressure of Gas (Prg), Reduced Pressure (Pr), Molar Volume of Real Gas (V'm) & Reduced Molar Volume for P-R Method (V'r) and hit the calculate button. Here is how the Reduced Temperature of Real Gas given Wohl Parameter c and Actual and Reduced Parameters calculation can be explained with given input values -> 0.065916 = 300/(sqrt(21/(4*(10132/0.0024)*((0.0224/246.78)^3)))).

FAQ

What is Reduced Temperature of Real Gas given Wohl Parameter c and Actual and Reduced Parameters?
The Reduced Temperature of Real Gas given Wohl Parameter c and Actual and Reduced Parameters formula is defined as the actual temperature of the fluid to its critical temperature. It is dimensionless and is represented as Tr = Trg/(sqrt(c/(4*(Prg/Pr)*((V'm/V'r)^3)))) or Reduced Temperature = Temperature of Real Gas/(sqrt(Wohl Parameter c/(4*(Pressure of Gas/Reduced Pressure)*((Molar Volume of Real Gas/Reduced Molar Volume for P-R Method)^3)))). Temperature of Real Gas is the degree or intensity of heat present in a substance or object, Wohl parameter c is an empirical parameter characteristic to equation obtained from Wohl model of real gas, Pressure of Gas is the force applied perpendicular to the surface of an object per unit area over which that force is distributed, Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless, 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 & 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.
How to calculate Reduced Temperature of Real Gas given Wohl Parameter c and Actual and Reduced Parameters?
The Reduced Temperature of Real Gas given Wohl Parameter c and Actual and Reduced Parameters formula is defined as the actual temperature of the fluid to its critical temperature. It is dimensionless is calculated using Reduced Temperature = Temperature of Real Gas/(sqrt(Wohl Parameter c/(4*(Pressure of Gas/Reduced Pressure)*((Molar Volume of Real Gas/Reduced Molar Volume for P-R Method)^3)))). To calculate Reduced Temperature of Real Gas given Wohl Parameter c and Actual and Reduced Parameters, you need Temperature of Real Gas (Trg), Wohl Parameter c (c), Pressure of Gas (Prg), Reduced Pressure (Pr), Molar Volume of Real Gas (V'm) & Reduced Molar Volume for P-R Method (V'r). With our tool, you need to enter the respective value for Temperature of Real Gas, Wohl Parameter c, Pressure of Gas, Reduced Pressure, Molar Volume of Real Gas & Reduced Molar Volume for P-R Method 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 Temperature?
In this formula, Reduced Temperature uses Temperature of Real Gas, Wohl Parameter c, Pressure of Gas, Reduced Pressure, Molar Volume of Real Gas & Reduced Molar Volume for P-R Method. We can use 9 other way(s) to calculate the same, which is/are as follows -
  • Reduced Temperature = Pressure of Gas/(Wohl Parameter a/(6*Critical Pressure for Peng Robinson Model*(Critical Molar Volume for Peng Robinson Model^2)))
  • Reduced Temperature = Pressure of Gas/(Wohl Parameter a/(6*(Pressure of Gas/Reduced Pressure)*((Molar Volume of Real Gas/Reduced Molar Volume for P-R Method)^2)))
  • Reduced Temperature = Temperature of Real Gas/((Wohl Parameter b*15*Critical Pressure for Peng Robinson Model)/[R])
  • Reduced Temperature = Temperature of Real Gas/((Wohl Parameter b*15*(Pressure of Gas/Reduced Pressure))/[R])
  • Reduced Temperature = Temperature of Real Gas/(sqrt(Wohl Parameter c/(4*Critical Pressure for Peng Robinson Model*(Critical Molar Volume for Peng Robinson Model^3))))
  • Reduced Temperature = ([R]/((Pressure of Gas+(Wohl Parameter a/(Molar Volume*(Molar Volume-Wohl Parameter b)))-(Wohl Parameter c/((Molar Volume^3))))*(Molar Volume-Wohl Parameter b)))/Critical Temperature of Real Gas
  • Reduced Temperature = ([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)))/Critical Temperature of Real Gas
  • Reduced Temperature = Temperature of Real Gas/((15*Critical Pressure for Peng Robinson Model*Critical Molar Volume for Peng Robinson Model)/(4*[R]))
  • Reduced Temperature = Temperature of Real Gas/((15*(Pressure of Gas/Reduced Pressure)*(Molar Volume of Real Gas/Reduced Molar Volume for P-R Method))/(4*[R]))
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