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

STEP 0: Pre-Calculation Summary
Formula Used
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
Tr = ([R]/(((Pr*P,c)+(a/((V'r*V'c)*((V'r*V'c)-b)))-(c/(((V'r*V'c)^3))))*((V'r*V'c)-b)))/T'c
This formula uses 1 Constants, 9 Variables
Constants Used
[R] - Universal gas constant Value Taken As 8.31446261815324
Variables Used
Reduced Temperature - Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless.
Reduced Pressure - Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless.
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.
Wohl Parameter a - Wohl parameter a is an empirical parameter characteristic to equation obtained from Wohl model of real gas.
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.
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.
Wohl Parameter b - Wohl parameter b 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 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.
STEP 1: Convert Input(s) to Base Unit
Reduced Pressure: 0.0024 --> No Conversion Required
Critical Pressure for Peng Robinson Model: 4600000 Pascal --> 4600000 Pascal No Conversion Required
Wohl Parameter a: 266 --> No Conversion Required
Reduced Molar Volume for P-R Method: 246.78 --> 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
Wohl Parameter b: 0.00625 --> No Conversion Required
Wohl Parameter c: 21 --> No Conversion Required
Critical Temperature of Real Gas: 154.4 Kelvin --> 154.4 Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Tr = ([R]/(((Pr*P,c)+(a/((V'r*V'c)*((V'r*V'c)-b)))-(c/(((V'r*V'c)^3))))*((V'r*V'c)-b)))/T'c --> ([R]/(((0.0024*4600000)+(266/((246.78*0.0025)*((246.78*0.0025)-0.00625)))-(21/(((246.78*0.0025)^3))))*((246.78*0.0025)-0.00625)))/154.4
Evaluating ... ...
Tr = 7.56463790458144E-06
STEP 3: Convert Result to Output's Unit
7.56463790458144E-06 --> No Conversion Required
FINAL ANSWER
7.56463790458144E-06 7.6E-6 <-- Reduced Temperature
(Calculation completed in 00.004 seconds)

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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 using Wohl Equation given Reduced and Critical Parameters Formula

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
Tr = ([R]/(((Pr*P,c)+(a/((V'r*V'c)*((V'r*V'c)-b)))-(c/(((V'r*V'c)^3))))*((V'r*V'c)-b)))/T'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 Temperature of Real Gas using Wohl Equation given Reduced and Critical Parameters?

Reduced Temperature of Real Gas using Wohl Equation given Reduced and Critical Parameters calculator uses 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 to calculate the Reduced Temperature, The Reduced Temperature of Real Gas using Wohl Equation given Reduced and Critical Parameters formula is defined as the ratio of 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 using Wohl Equation given Reduced and Critical Parameters using this online calculator? To use this online calculator for Reduced Temperature of Real Gas using Wohl Equation given Reduced and Critical Parameters, enter Reduced Pressure (Pr), Critical Pressure for Peng Robinson Model (P,c), Wohl Parameter a (a), Reduced Molar Volume for P-R Method (V'r), Critical Molar Volume for Peng Robinson Model (V'c), Wohl Parameter b (b), Wohl Parameter c (c) & Critical Temperature of Real Gas (T'c) and hit the calculate button. Here is how the Reduced Temperature of Real Gas using Wohl Equation given Reduced and Critical Parameters calculation can be explained with given input values -> 7.6E-6 = ([R]/(((0.0024*4600000)+(266/((246.78*0.0025)*((246.78*0.0025)-0.00625)))-(21/(((246.78*0.0025)^3))))*((246.78*0.0025)-0.00625)))/154.4.

FAQ

What is Reduced Temperature of Real Gas using Wohl Equation given Reduced and Critical Parameters?
The Reduced Temperature of Real Gas using Wohl Equation given Reduced and Critical Parameters formula is defined as the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless and is represented as Tr = ([R]/(((Pr*P,c)+(a/((V'r*V'c)*((V'r*V'c)-b)))-(c/(((V'r*V'c)^3))))*((V'r*V'c)-b)))/T'c or 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 Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless, Critical Pressure for Peng Robinson Model is the minimum pressure required to liquify a substance at the critical temperature, Wohl parameter a is an empirical parameter characteristic to equation obtained from Wohl model of real gas, 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, Critical Molar Volume for Peng Robinson Model is the volume occupied by gas at critical temperature and pressure per mole, Wohl parameter b 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 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.
How to calculate Reduced Temperature of Real Gas using Wohl Equation given Reduced and Critical Parameters?
The Reduced Temperature of Real Gas using Wohl Equation given Reduced and Critical Parameters formula is defined as the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless is calculated using 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. To calculate Reduced Temperature of Real Gas using Wohl Equation given Reduced and Critical Parameters, you need Reduced Pressure (Pr), Critical Pressure for Peng Robinson Model (P,c), Wohl Parameter a (a), Reduced Molar Volume for P-R Method (V'r), Critical Molar Volume for Peng Robinson Model (V'c), Wohl Parameter b (b), Wohl Parameter c (c) & Critical Temperature of Real Gas (T'c). With our tool, you need to enter the respective value for 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, Wohl Parameter b, Wohl Parameter c & Critical Temperature of Real Gas 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 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, Wohl Parameter b, Wohl Parameter c & Critical Temperature of Real Gas. 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 = 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 = ([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 = 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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