Reduced Temperature of Real Gas using Reduced Redlich Kwong Equation Solution

STEP 0: Pre-Calculation Summary
Formula Used
Reduced Temperature = ((Reduced Pressure+(1/(0.26*Reduced Molar Volume*(Reduced Molar Volume+0.26))))*((Reduced Molar Volume-0.26)/3))^(2/3)
Tr = ((Pr+(1/(0.26*Vm,r*(Vm,r+0.26))))*((Vm,r-0.26)/3))^(2/3)
This formula uses 3 Variables
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.
Reduced Molar Volume - Reduced Molar Volume 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
Reduced Pressure: 3.675E-05 --> No Conversion Required
Reduced Molar Volume: 11.2 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Tr = ((Pr+(1/(0.26*Vm,r*(Vm,r+0.26))))*((Vm,r-0.26)/3))^(2/3) --> ((3.675E-05+(1/(0.26*11.2*(11.2+0.26))))*((11.2-0.26)/3))^(2/3)
Evaluating ... ...
Tr = 0.228753763866103
STEP 3: Convert Result to Output's Unit
0.228753763866103 --> No Conversion Required
FINAL ANSWER
0.228753763866103 0.228754 <-- 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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Reduced Temperature of Real Gas Calculators

Reduced Temperature using Redlich Kwong Equation given of 'a' and 'b'
​ LaTeX ​ Go Temperature given PRP = Temperature of Gas/((3^(2/3))*(((2^(1/3))-1)^(4/3))*((Redlich–Kwong Parameter a/(Redlich–Kwong parameter b*[R]))^(2/3)))
Reduced Temperature of Real Gas using Reduced Redlich Kwong Equation
​ LaTeX ​ Go Reduced Temperature = ((Reduced Pressure+(1/(0.26*Reduced Molar Volume*(Reduced Molar Volume+0.26))))*((Reduced Molar Volume-0.26)/3))^(2/3)
Reduced Temperature of Real Gas given 'b' using Redlich Kwong Equation
​ LaTeX ​ Go Reduced Temperature = Temperature/((Redlich–Kwong parameter b*Critical Pressure)/(0.08664*[R]))
Reduced Temperature of Real Gas given 'a' using Redlich Kwong Equation
​ LaTeX ​ Go Reduced Temperature = Temperature/(((Redlich–Kwong Parameter a*Critical Pressure)/(0.42748*([R]^2)))^(2/5))

Reduced Temperature of Real Gas using Reduced Redlich Kwong Equation Formula

​LaTeX ​Go
Reduced Temperature = ((Reduced Pressure+(1/(0.26*Reduced Molar Volume*(Reduced Molar Volume+0.26))))*((Reduced Molar Volume-0.26)/3))^(2/3)
Tr = ((Pr+(1/(0.26*Vm,r*(Vm,r+0.26))))*((Vm,r-0.26)/3))^(2/3)

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 using Reduced Redlich Kwong Equation?

Reduced Temperature of Real Gas using Reduced Redlich Kwong Equation calculator uses Reduced Temperature = ((Reduced Pressure+(1/(0.26*Reduced Molar Volume*(Reduced Molar Volume+0.26))))*((Reduced Molar Volume-0.26)/3))^(2/3) to calculate the Reduced Temperature, The Reduced Temperature of Real Gas using Reduced Redlich Kwong Equation 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 Reduced Redlich Kwong Equation using this online calculator? To use this online calculator for Reduced Temperature of Real Gas using Reduced Redlich Kwong Equation, enter Reduced Pressure (Pr) & Reduced Molar Volume (Vm,r) and hit the calculate button. Here is how the Reduced Temperature of Real Gas using Reduced Redlich Kwong Equation calculation can be explained with given input values -> 0.228754 = ((3.675E-05+(1/(0.26*11.2*(11.2+0.26))))*((11.2-0.26)/3))^(2/3).

FAQ

What is Reduced Temperature of Real Gas using Reduced Redlich Kwong Equation?
The Reduced Temperature of Real Gas using Reduced Redlich Kwong Equation 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 = ((Pr+(1/(0.26*Vm,r*(Vm,r+0.26))))*((Vm,r-0.26)/3))^(2/3) or Reduced Temperature = ((Reduced Pressure+(1/(0.26*Reduced Molar Volume*(Reduced Molar Volume+0.26))))*((Reduced Molar Volume-0.26)/3))^(2/3). Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless & Reduced Molar Volume 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 using Reduced Redlich Kwong Equation?
The Reduced Temperature of Real Gas using Reduced Redlich Kwong Equation 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 = ((Reduced Pressure+(1/(0.26*Reduced Molar Volume*(Reduced Molar Volume+0.26))))*((Reduced Molar Volume-0.26)/3))^(2/3). To calculate Reduced Temperature of Real Gas using Reduced Redlich Kwong Equation, you need Reduced Pressure (Pr) & Reduced Molar Volume (Vm,r). With our tool, you need to enter the respective value for Reduced Pressure & Reduced Molar Volume 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 & Reduced Molar Volume. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Reduced Temperature = Temperature/(((Redlich–Kwong Parameter a*Critical Pressure)/(0.42748*([R]^2)))^(2/5))
  • Reduced Temperature = Temperature/((Redlich–Kwong parameter b*Critical Pressure)/(0.08664*[R]))
  • Reduced Temperature = Temperature/Critical Temperature
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