Reduced Temperature of Real Gas given 'a' using Redlich Kwong Equation Solution

STEP 0: Pre-Calculation Summary
Formula Used
Reduced Temperature = Temperature/(((Redlich–Kwong Parameter a*Critical Pressure)/(0.42748*([R]^2)))^(2/5))
Tr = T/(((a*Pc)/(0.42748*([R]^2)))^(2/5))
This formula uses 1 Constants, 4 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.
Temperature - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.
Redlich–Kwong Parameter a - Redlich–Kwong parameter a is an empirical parameter characteristic to equation obtained from Redlich–Kwong model of real gas.
Critical Pressure - (Measured in Pascal) - Critical Pressure is the minimum pressure required to liquify a substance at the critical temperature.
STEP 1: Convert Input(s) to Base Unit
Temperature: 85 Kelvin --> 85 Kelvin No Conversion Required
Redlich–Kwong Parameter a: 0.15 --> No Conversion Required
Critical Pressure: 218 Pascal --> 218 Pascal No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Tr = T/(((a*Pc)/(0.42748*([R]^2)))^(2/5)) --> 85/(((0.15*218)/(0.42748*([R]^2)))^(2/5))
Evaluating ... ...
Tr = 81.6269356492087
STEP 3: Convert Result to Output's Unit
81.6269356492087 --> No Conversion Required
FINAL ANSWER
81.6269356492087 81.62694 <-- Reduced Temperature
(Calculation completed in 00.004 seconds)

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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 given 'a' using Redlich Kwong Equation Formula

​LaTeX ​Go
Reduced Temperature = Temperature/(((Redlich–Kwong Parameter a*Critical Pressure)/(0.42748*([R]^2)))^(2/5))
Tr = T/(((a*Pc)/(0.42748*([R]^2)))^(2/5))

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 'a' using Redlich Kwong Equation?

Reduced Temperature of Real Gas given 'a' using Redlich Kwong Equation calculator uses Reduced Temperature = Temperature/(((Redlich–Kwong Parameter a*Critical Pressure)/(0.42748*([R]^2)))^(2/5)) to calculate the Reduced Temperature, The Reduced Temperature of Real Gas given 'a' using 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 given 'a' using Redlich Kwong Equation using this online calculator? To use this online calculator for Reduced Temperature of Real Gas given 'a' using Redlich Kwong Equation, enter Temperature (T), Redlich–Kwong Parameter a (a) & Critical Pressure (Pc) and hit the calculate button. Here is how the Reduced Temperature of Real Gas given 'a' using Redlich Kwong Equation calculation can be explained with given input values -> 81.62694 = 85/(((0.15*218)/(0.42748*([R]^2)))^(2/5)).

FAQ

What is Reduced Temperature of Real Gas given 'a' using Redlich Kwong Equation?
The Reduced Temperature of Real Gas given 'a' using 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 = T/(((a*Pc)/(0.42748*([R]^2)))^(2/5)) or Reduced Temperature = Temperature/(((Redlich–Kwong Parameter a*Critical Pressure)/(0.42748*([R]^2)))^(2/5)). Temperature is the degree or intensity of heat present in a substance or object, Redlich–Kwong parameter a is an empirical parameter characteristic to equation obtained from Redlich–Kwong model of real gas & Critical Pressure is the minimum pressure required to liquify a substance at the critical temperature.
How to calculate Reduced Temperature of Real Gas given 'a' using Redlich Kwong Equation?
The Reduced Temperature of Real Gas given 'a' using 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 = Temperature/(((Redlich–Kwong Parameter a*Critical Pressure)/(0.42748*([R]^2)))^(2/5)). To calculate Reduced Temperature of Real Gas given 'a' using Redlich Kwong Equation, you need Temperature (T), Redlich–Kwong Parameter a (a) & Critical Pressure (Pc). With our tool, you need to enter the respective value for Temperature, Redlich–Kwong Parameter a & Critical Pressure 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, Redlich–Kwong Parameter a & Critical Pressure. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Reduced Temperature = Temperature/((Redlich–Kwong parameter b*Critical Pressure)/(0.08664*[R]))
  • 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 = Temperature/Critical Temperature
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