Critical Temperature of Real Gas using Reduced Redlich Kwong Equation Solution

STEP 0: Pre-Calculation Summary
Formula Used
Critical Temperature given RKE = Temperature of Gas/(((Reduced Pressure+(1/(0.26*Reduced Molar Volume*(Reduced Molar Volume+0.26))))*((Reduced Molar Volume-0.26)/3))^(2/3))
TcRKE = Tg/(((Pr+(1/(0.26*Vm,r*(Vm,r+0.26))))*((Vm,r-0.26)/3))^(2/3))
This formula uses 4 Variables
Variables Used
Critical Temperature given RKE - (Measured in Kelvin) - Critical Temperature given RKE is the highest temperature at which the substance can exist as a liquid. At this phase boundaries vanish, and the substance can exist both as a liquid and vapor.
Temperature of Gas - (Measured in Kelvin) - Temperature of Gas is the degree or intensity of heat present in a substance or object.
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
Temperature of Gas: 85.5 Kelvin --> 85.5 Kelvin No Conversion Required
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
TcRKE = Tg/(((Pr+(1/(0.26*Vm,r*(Vm,r+0.26))))*((Vm,r-0.26)/3))^(2/3)) --> 85.5/(((3.675E-05+(1/(0.26*11.2*(11.2+0.26))))*((11.2-0.26)/3))^(2/3))
Evaluating ... ...
TcRKE = 373.764341862571
STEP 3: Convert Result to Output's Unit
373.764341862571 Kelvin --> No Conversion Required
FINAL ANSWER
373.764341862571 373.7643 Kelvin <-- Critical Temperature given RKE
(Calculation completed in 00.004 seconds)

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Created by Prerana Bakli
University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
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Critical Temperature of Real Gas Calculators

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

Critical Temperature of Real Gas using Reduced Redlich Kwong Equation Formula

​LaTeX ​Go
Critical Temperature given RKE = Temperature of Gas/(((Reduced Pressure+(1/(0.26*Reduced Molar Volume*(Reduced Molar Volume+0.26))))*((Reduced Molar Volume-0.26)/3))^(2/3))
TcRKE = Tg/(((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 Critical Temperature of Real Gas using Reduced Redlich Kwong Equation?

Critical Temperature of Real Gas using Reduced Redlich Kwong Equation calculator uses Critical Temperature given RKE = Temperature of Gas/(((Reduced Pressure+(1/(0.26*Reduced Molar Volume*(Reduced Molar Volume+0.26))))*((Reduced Molar Volume-0.26)/3))^(2/3)) to calculate the Critical Temperature given RKE, The Critical Temperature of Real Gas using Reduced Redlich Kwong Equation formula is defined as the highest temperature at which the substance can exist as a liquid. Critical Temperature given RKE is denoted by TcRKE symbol.

How to calculate Critical Temperature of Real Gas using Reduced Redlich Kwong Equation using this online calculator? To use this online calculator for Critical Temperature of Real Gas using Reduced Redlich Kwong Equation, enter Temperature of Gas (Tg), Reduced Pressure (Pr) & Reduced Molar Volume (Vm,r) and hit the calculate button. Here is how the Critical Temperature of Real Gas using Reduced Redlich Kwong Equation calculation can be explained with given input values -> 371.5786 = 85.5/(((3.675E-05+(1/(0.26*11.2*(11.2+0.26))))*((11.2-0.26)/3))^(2/3)).

FAQ

What is Critical Temperature of Real Gas using Reduced Redlich Kwong Equation?
The Critical Temperature of Real Gas using Reduced Redlich Kwong Equation formula is defined as the highest temperature at which the substance can exist as a liquid and is represented as TcRKE = Tg/(((Pr+(1/(0.26*Vm,r*(Vm,r+0.26))))*((Vm,r-0.26)/3))^(2/3)) or Critical Temperature given RKE = Temperature of Gas/(((Reduced Pressure+(1/(0.26*Reduced Molar Volume*(Reduced Molar Volume+0.26))))*((Reduced Molar Volume-0.26)/3))^(2/3)). Temperature of Gas is the degree or intensity of heat present in a substance or object, 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 Critical Temperature of Real Gas using Reduced Redlich Kwong Equation?
The Critical Temperature of Real Gas using Reduced Redlich Kwong Equation formula is defined as the highest temperature at which the substance can exist as a liquid is calculated using Critical Temperature given RKE = Temperature of Gas/(((Reduced Pressure+(1/(0.26*Reduced Molar Volume*(Reduced Molar Volume+0.26))))*((Reduced Molar Volume-0.26)/3))^(2/3)). To calculate Critical Temperature of Real Gas using Reduced Redlich Kwong Equation, you need Temperature of Gas (Tg), Reduced Pressure (Pr) & Reduced Molar Volume (Vm,r). With our tool, you need to enter the respective value for Temperature of Gas, 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.
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