Critical Temperature of Real Gas using Wohl Parameter c and other Actual and Reduced Parameters Solution

STEP 0: Pre-Calculation Summary
Formula Used
Critical 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)))
T'c = sqrt(c/(4*(Prg/Pr)*((V'm/V'r)^3)))
This formula uses 1 Functions, 6 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
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.
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
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
T'c = sqrt(c/(4*(Prg/Pr)*((V'm/V'r)^3))) --> sqrt(21/(4*(10132/0.0024)*((0.0224/246.78)^3)))
Evaluating ... ...
T'c = 1289.52745889602
STEP 3: Convert Result to Output's Unit
1289.52745889602 Kelvin --> No Conversion Required
FINAL ANSWER
1289.52745889602 1289.527 Kelvin <-- Critical Temperature of Real Gas
(Calculation completed in 00.004 seconds)

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Critical Temperature of Real Gas using Wohl equation Calculators

Critical Temperature of Real Gas using Wohl Equation given Reduced and Critical Parameters
​ LaTeX ​ Go Critical Temperature of Real Gas = ([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)))/Reduced Temperature
Critical Temperature of Real Gas using Wohl Equation given Reduced and Actual Parameters
​ LaTeX ​ Go Critical Temperature of Real Gas = ([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)))/Reduced Temperature
Critical Temperature of Real Gas given Wohl Parameter a. and Other Actual and Reduced Parameters
​ LaTeX ​ Go Critical Temperature of Real Gas = Wohl Parameter a/(6*(Pressure of Gas/Reduced Pressure)*((Molar Volume of Real Gas/Reduced Molar Volume for P-R Method)^2))
Critical Temperature of Real Gas using Wohl Equation given Wohl Parameter a
​ LaTeX ​ Go Critical Temperature of Real Gas = Wohl Parameter a/(6*Critical Pressure for Peng Robinson Model*(Critical Molar Volume for Peng Robinson Model^2))

Critical Temperature of Real Gas using Wohl Parameter c and other Actual and Reduced Parameters Formula

​LaTeX ​Go
Critical 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)))
T'c = 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 Critical Temperature of Real Gas using Wohl Parameter c and other Actual and Reduced Parameters?

Critical Temperature of Real Gas using Wohl Parameter c and other Actual and Reduced Parameters calculator uses Critical 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 Critical Temperature of Real Gas, The Critical Temperature of Real Gas using Wohl Parameter c and other Actual and Reduced Parameters formula is defined as the highest temperature at which the substance can exist as a liquid. Critical Temperature of Real Gas is denoted by T'c symbol.

How to calculate Critical Temperature of Real Gas using Wohl Parameter c and other Actual and Reduced Parameters using this online calculator? To use this online calculator for Critical Temperature of Real Gas using Wohl Parameter c and other Actual and Reduced Parameters, enter 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 Critical Temperature of Real Gas using Wohl Parameter c and other Actual and Reduced Parameters calculation can be explained with given input values -> 3.979568 = sqrt(21/(4*(10132/0.0024)*((0.0224/246.78)^3))).

FAQ

What is Critical Temperature of Real Gas using Wohl Parameter c and other Actual and Reduced Parameters?
The Critical Temperature of Real Gas using Wohl Parameter c and other Actual and Reduced Parameters formula is defined as the highest temperature at which the substance can exist as a liquid and is represented as T'c = sqrt(c/(4*(Prg/Pr)*((V'm/V'r)^3))) or Critical 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))). 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 Critical Temperature of Real Gas using Wohl Parameter c and other Actual and Reduced Parameters?
The Critical Temperature of Real Gas using Wohl Parameter c and other Actual and Reduced Parameters formula is defined as the highest temperature at which the substance can exist as a liquid is calculated using Critical 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 Critical Temperature of Real Gas using Wohl Parameter c and other Actual and Reduced Parameters, you need 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 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 Critical Temperature of Real Gas?
In this formula, Critical Temperature of Real Gas uses Wohl Parameter c, Pressure of Gas, Reduced Pressure, Molar Volume of Real Gas & Reduced Molar Volume for P-R Method. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Critical Temperature of Real Gas = Wohl Parameter a/(6*(Pressure of Gas/Reduced Pressure)*((Molar Volume of Real Gas/Reduced Molar Volume for P-R Method)^2))
  • Critical Temperature of Real Gas = ([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)))/Reduced Temperature
  • Critical Temperature of Real Gas = ([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)))/Reduced Temperature
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