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

STEP 0: Pre-Calculation Summary
Formula Used
Real Gas Temperature = Reduced Temperature*((Redlich–Kwong parameter b*Critical Pressure)/(0.08664*[R]))
Treal = Tr*((b*Pc)/(0.08664*[R]))
This formula uses 1 Constants, 4 Variables
Constants Used
[R] - Universal gas constant Value Taken As 8.31446261815324
Variables Used
Real Gas Temperature - (Measured in Kelvin) - Real Gas 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 b - Redlich–Kwong parameter b 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 b: 0.1 --> No Conversion Required
Critical Pressure: 218 Pascal --> 218 Pascal No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Treal = Tr*((b*Pc)/(0.08664*[R])) --> 10*((0.1*218)/(0.08664*[R]))
Evaluating ... ...
Treal = 302.624346714154
STEP 3: Convert Result to Output's Unit
302.624346714154 Kelvin --> No Conversion Required
FINAL ANSWER
302.624346714154 302.6243 Kelvin <-- Real Gas Temperature
(Calculation completed in 00.020 seconds)

Credits

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Created by Prerana Bakli
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)

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)

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

​LaTeX ​Go
Real Gas Temperature = Reduced Temperature*((Redlich–Kwong parameter b*Critical Pressure)/(0.08664*[R]))
Treal = Tr*((b*Pc)/(0.08664*[R]))

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 'b'?

Actual Temperature of Real Gas using Redlich Kwong Equation given 'b' calculator uses Real Gas Temperature = Reduced Temperature*((Redlich–Kwong parameter b*Critical Pressure)/(0.08664*[R])) to calculate the Real Gas Temperature, The Actual Temperature of Real Gas using Redlich Kwong Equation given 'b' formula is defined as the degree or intensity of heat present in the volume of real gas. Real Gas Temperature is denoted by Treal symbol.

How to calculate Actual Temperature of Real Gas using Redlich Kwong Equation given 'b' using this online calculator? To use this online calculator for Actual Temperature of Real Gas using Redlich Kwong Equation given 'b', enter Reduced Temperature (Tr), Redlich–Kwong parameter b (b) & Critical Pressure (Pc) and hit the calculate button. Here is how the Actual Temperature of Real Gas using Redlich Kwong Equation given 'b' calculation can be explained with given input values -> 302.6243 = 10*((0.1*218)/(0.08664*[R])).

FAQ

What is Actual Temperature of Real Gas using Redlich Kwong Equation given 'b'?
The Actual Temperature of Real Gas using Redlich Kwong Equation given 'b' formula is defined as the degree or intensity of heat present in the volume of real gas and is represented as Treal = Tr*((b*Pc)/(0.08664*[R])) or Real Gas Temperature = Reduced Temperature*((Redlich–Kwong parameter b*Critical Pressure)/(0.08664*[R])). Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless, Redlich–Kwong parameter b 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 'b'?
The Actual Temperature of Real Gas using Redlich Kwong Equation given 'b' formula is defined as the degree or intensity of heat present in the volume of real gas is calculated using Real Gas Temperature = Reduced Temperature*((Redlich–Kwong parameter b*Critical Pressure)/(0.08664*[R])). To calculate Actual Temperature of Real Gas using Redlich Kwong Equation given 'b', you need Reduced Temperature (Tr), Redlich–Kwong parameter b (b) & Critical Pressure (Pc). With our tool, you need to enter the respective value for Reduced Temperature, Redlich–Kwong parameter b & 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 Real Gas Temperature?
In this formula, Real Gas Temperature uses Reduced Temperature, Redlich–Kwong parameter b & Critical Pressure. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Real Gas Temperature = ((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]))/Reduced Temperature
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