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

STEP 0: Pre-Calculation Summary
Formula Used
Temperature = Reduced Temperature*(((Redlich–Kwong Parameter a*Critical Pressure)/(0.42748*([R]^2)))^(2/5))
T = Tr*(((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
Temperature - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.
Reduced Temperature - Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless.
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
Reduced Temperature: 10 --> 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
T = Tr*(((a*Pc)/(0.42748*([R]^2)))^(2/5)) --> 10*(((0.15*218)/(0.42748*([R]^2)))^(2/5))
Evaluating ... ...
T = 10.4132293248502
STEP 3: Convert Result to Output's Unit
10.4132293248502 Kelvin --> No Conversion Required
FINAL ANSWER
10.4132293248502 10.41323 Kelvin <-- Temperature
(Calculation completed in 00.004 seconds)

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University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
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Redlich Kwong Model of Real Gas Calculators

Molar Volume of Real Gas using Redlich Kwong Equation
​ LaTeX ​ Go Molar Volume = ((1/Pressure)+(Redlich–Kwong parameter b/([R]*Temperature)))/((1/([R]*Temperature))-((sqrt(Temperature)*Redlich–Kwong parameter b)/Redlich–Kwong Parameter a))
Pressure of Real Gas using Redlich Kwong Equation
​ LaTeX ​ Go Pressure = (([R]*Temperature)/(Molar Volume-Redlich–Kwong parameter b))-(Redlich–Kwong Parameter a)/(sqrt(Temperature)*Molar Volume*(Molar Volume+Redlich–Kwong parameter b))
Critical Pressure of Real Gas using Redlich Kwong Equation given 'a' and 'b'
​ LaTeX ​ Go Critical Pressure = (((2^(1/3))-1)^(7/3)*([R]^(1/3))*(Redlich–Kwong Parameter a^(2/3)))/((3^(1/3))*(Redlich–Kwong parameter b^(5/3)))
Critical Molar Volume of Real Gas using Redlich Kwong Equation given 'a' and 'b'
​ LaTeX ​ Go Critical Molar Volume = Redlich–Kwong parameter b/((2^(1/3))-1)

Actual Temperature of Real Gas using Redlich Kwong Equation given 'a' Formula

​LaTeX ​Go
Temperature = Reduced Temperature*(((Redlich–Kwong Parameter a*Critical Pressure)/(0.42748*([R]^2)))^(2/5))
T = Tr*(((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 Actual Temperature of Real Gas using Redlich Kwong Equation given 'a'?

Actual Temperature of Real Gas using Redlich Kwong Equation given 'a' calculator uses Temperature = Reduced Temperature*(((Redlich–Kwong Parameter a*Critical Pressure)/(0.42748*([R]^2)))^(2/5)) to calculate the Temperature, The Actual Temperature of Real Gas using Redlich Kwong Equation given 'a' formula is defined as the degree or intensity of heat present in the volume of real gas. Temperature is denoted by T symbol.

How to calculate Actual Temperature of Real Gas using Redlich Kwong Equation given 'a' using this online calculator? To use this online calculator for Actual Temperature of Real Gas using Redlich Kwong Equation given 'a', enter Reduced Temperature (Tr), Redlich–Kwong Parameter a (a) & Critical Pressure (Pc) and hit the calculate button. Here is how the Actual Temperature of Real Gas using Redlich Kwong Equation given 'a' calculation can be explained with given input values -> 10.41323 = 10*(((0.15*218)/(0.42748*([R]^2)))^(2/5)).

FAQ

What is Actual Temperature of Real Gas using Redlich Kwong Equation given 'a'?
The Actual Temperature of Real Gas using Redlich Kwong Equation given 'a' formula is defined as the degree or intensity of heat present in the volume of real gas and is represented as T = Tr*(((a*Pc)/(0.42748*([R]^2)))^(2/5)) or Temperature = Reduced Temperature*(((Redlich–Kwong Parameter a*Critical Pressure)/(0.42748*([R]^2)))^(2/5)). Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless, 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 Actual Temperature of Real Gas using Redlich Kwong Equation given 'a'?
The Actual Temperature of Real Gas using Redlich Kwong Equation given 'a' formula is defined as the degree or intensity of heat present in the volume of real gas is calculated using Temperature = Reduced Temperature*(((Redlich–Kwong Parameter a*Critical Pressure)/(0.42748*([R]^2)))^(2/5)). To calculate Actual Temperature of Real Gas using Redlich Kwong Equation given 'a', you need Reduced Temperature (Tr), Redlich–Kwong Parameter a (a) & Critical Pressure (Pc). With our tool, you need to enter the respective value for Reduced 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 Temperature?
In this formula, Temperature uses Reduced Temperature, Redlich–Kwong Parameter a & Critical Pressure. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Temperature = Reduced Temperature*((3^(2/3))*(((2^(1/3))-1)^(4/3))*((Redlich–Kwong Parameter a/(Redlich–Kwong parameter b*[R]))^(2/3)))
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