Reduced Temperature using Redlich Kwong Equation given of 'a' and 'b' Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)))
TPRP = Tg/((3^(2/3))*(((2^(1/3))-1)^(4/3))*((a/(b*[R]))^(2/3)))
This formula uses 1 Constants, 4 Variables
Constants Used
[R] - Universal gas constant Value Taken As 8.31446261815324
Variables Used
Temperature given PRP - (Measured in Kelvin) - Temperature given PRP is the degree or intensity of heat present in a substance or object.
Temperature of Gas - (Measured in Kelvin) - Temperature of Gas 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.
Redlich–Kwong parameter b - Redlich–Kwong parameter b is an empirical parameter characteristic to equation obtained from Redlich–Kwong model of real gas.
STEP 1: Convert Input(s) to Base Unit
Temperature of Gas: 85.5 Kelvin --> 85.5 Kelvin No Conversion Required
Redlich–Kwong Parameter a: 0.15 --> No Conversion Required
Redlich–Kwong parameter b: 0.1 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
TPRP = Tg/((3^(2/3))*(((2^(1/3))-1)^(4/3))*((a/(b*[R]))^(2/3))) --> 85.5/((3^(2/3))*(((2^(1/3))-1)^(4/3))*((0.15/(0.1*[R]))^(2/3)))
Evaluating ... ...
TPRP = 776.113597163256
STEP 3: Convert Result to Output's Unit
776.113597163256 Kelvin --> No Conversion Required
FINAL ANSWER
776.113597163256 776.1136 Kelvin <-- Temperature given PRP
(Calculation completed in 00.020 seconds)

Credits

Creator Image
Created by Prerana Bakli
University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
Prerana Bakli has created this Calculator and 800+ more calculators!
Verifier Image
Verified by Prashant Singh
K J Somaiya College of science (K J Somaiya), Mumbai
Prashant Singh has verified this Calculator and 500+ more calculators!

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))

Important Formulae on Different Models of Real Gas Calculators

Temperature of Real Gas using Peng Robinson Equation
​ LaTeX ​ Go Temperature given CE = (Pressure+(((Peng–Robinson Parameter a*α-function)/((Molar Volume^2)+(2*Peng–Robinson Parameter b*Molar Volume)-(Peng–Robinson Parameter b^2)))))*((Molar Volume-Peng–Robinson Parameter b)/[R])
Critical Pressure given Peng Robinson Parameter b and other Actual and Reduced Parameters
​ LaTeX ​ Go Critical Pressure given PRP = 0.07780*[R]*(Temperature of Gas/Reduced Temperature)/Peng–Robinson Parameter b
Actual Temperature given Peng Robinson parameter b, other reduced and critical parameters
​ LaTeX ​ Go Temperature given PRP = Reduced Temperature*((Peng–Robinson Parameter b*Critical Pressure)/(0.07780*[R]))
Actual Pressure given Peng Robinson Parameter a, and other Reduced and Critical Parameters
​ LaTeX ​ Go Pressure given PRP = Reduced Pressure*(0.45724*([R]^2)*(Critical Temperature^2)/Peng–Robinson Parameter a)

Reduced Temperature using Redlich Kwong Equation given of 'a' and 'b' Formula

​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)))
TPRP = Tg/((3^(2/3))*(((2^(1/3))-1)^(4/3))*((a/(b*[R]))^(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 using Redlich Kwong Equation given of 'a' and 'b'?

Reduced Temperature using Redlich Kwong Equation given of 'a' and 'b' calculator uses 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))) to calculate the Temperature given PRP, The Reduced Temperature using Redlich Kwong Equation given of 'a' and 'b' formula is defined as is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless. Temperature given PRP is denoted by TPRP symbol.

How to calculate Reduced Temperature using Redlich Kwong Equation given of 'a' and 'b' using this online calculator? To use this online calculator for Reduced Temperature using Redlich Kwong Equation given of 'a' and 'b', enter Temperature of Gas (Tg), Redlich–Kwong Parameter a (a) & Redlich–Kwong parameter b (b) and hit the calculate button. Here is how the Reduced Temperature using Redlich Kwong Equation given of 'a' and 'b' calculation can be explained with given input values -> 771.5749 = 85.5/((3^(2/3))*(((2^(1/3))-1)^(4/3))*((0.15/(0.1*[R]))^(2/3))).

FAQ

What is Reduced Temperature using Redlich Kwong Equation given of 'a' and 'b'?
The Reduced Temperature using Redlich Kwong Equation given of 'a' and 'b' formula is defined as is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless and is represented as TPRP = Tg/((3^(2/3))*(((2^(1/3))-1)^(4/3))*((a/(b*[R]))^(2/3))) or 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))). Temperature of Gas 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 & Redlich–Kwong parameter b is an empirical parameter characteristic to equation obtained from Redlich–Kwong model of real gas.
How to calculate Reduced Temperature using Redlich Kwong Equation given of 'a' and 'b'?
The Reduced Temperature using Redlich Kwong Equation given of 'a' and 'b' formula is defined as is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless is calculated using 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))). To calculate Reduced Temperature using Redlich Kwong Equation given of 'a' and 'b', you need Temperature of Gas (Tg), Redlich–Kwong Parameter a (a) & Redlich–Kwong parameter b (b). With our tool, you need to enter the respective value for Temperature of Gas, Redlich–Kwong Parameter a & Redlich–Kwong parameter b 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 Temperature given PRP?
In this formula, Temperature given PRP uses Temperature of Gas, Redlich–Kwong Parameter a & Redlich–Kwong parameter b. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Temperature given PRP = Reduced Temperature*((Peng–Robinson Parameter b*Critical Pressure)/(0.07780*[R]))
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!