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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4 Critical Temperature of Real Gas Calculators

Critical Temperature of Real Gas using Reduced Redlich Kwong Equation
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'
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'
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'
Go Critical Temperature = ((Redlich–Kwong Parameter a*Critical Pressure)/(0.42748*([R]^2)))^(2/5)

20 Important Formulae on Different Models of Real Gas Calculators

Critical Temperature using Peng Robinson Equation given Reduced and Actual Parameters
Go 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
Temperature of Real Gas using Peng Robinson Equation
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 of Real Gas using Reduced Redlich Kwong Equation
Go Critical Pressure = Pressure/(((3*Reduced Temperature)/(Reduced Molar Volume-0.26))-(1/(0.26*sqrt(Temperature of Gas)*Reduced Molar Volume*(Reduced Molar Volume+0.26))))
Critical Temperature of Real Gas using Reduced Redlich Kwong Equation
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))
Actual Temperature of Real Gas using Reduced Redlich Kwong Equation
Go Temperature of Gas = Critical Temperature*(((Reduced Pressure+(1/(0.26*Reduced Molar Volume*(Reduced Molar Volume+0.26))))*((Reduced Molar Volume-0.26)/3))^(2/3))
Reduced Pressure given Peng Robinson Parameter b, other Actual and Reduced Parameters
Go Critical Pressure given PRP = Pressure/(0.07780*[R]*(Temperature of Gas/Reduced Temperature)/Peng–Robinson Parameter b)
Reduced Temperature using Redlich Kwong Equation given of 'a' and 'b'
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)))
Critical Pressure given Peng Robinson Parameter b and other Actual and Reduced Parameters
Go Critical Pressure given PRP = 0.07780*[R]*(Temperature of Gas/Reduced Temperature)/Peng–Robinson Parameter b
Hamaker Coefficient
Go Hamaker Coefficient A = (pi^2)*Coefficient of Particle–Particle Pair Interaction*Number Density of particle 1*Number Density of particle 2
Actual Temperature given Peng Robinson parameter b, other reduced and critical parameters
Go Temperature given PRP = Reduced Temperature*((Peng–Robinson Parameter b*Critical Pressure)/(0.07780*[R]))
Actual Temperature of Real Gas using Redlich Kwong Equation given 'b'
Go Real Gas Temperature = Reduced Temperature*((Redlich–Kwong parameter b*Critical Pressure)/(0.08664*[R]))
Reduced Temperature given Peng Robinson Parameter a, and other Actual and Critical Parameters
Go Temperature of Gas = Temperature/(sqrt((Peng–Robinson Parameter a*Critical Pressure)/(0.45724*([R]^2))))
Radius of Spherical Body 1 given Center-to-Center Distance
Go Radius of Spherical Body 1 = Center-to-center Distance-Distance Between Surfaces-Radius of Spherical Body 2
Radius of Spherical Body 2 given Center-to-Center Distance
Go Radius of Spherical Body 2 = Center-to-center Distance-Distance Between Surfaces-Radius of Spherical Body 1
Distance between Surfaces given Center-to-Center Distance
Go Distance Between Surfaces = Center-to-center Distance-Radius of Spherical Body 1-Radius of Spherical Body 2
Center-to-Center Distance
Go Center-to-center Distance = Radius of Spherical Body 1+Radius of Spherical Body 2+Distance Between Surfaces
Actual Pressure given Peng Robinson Parameter a, and other Reduced and Critical Parameters
Go Pressure given PRP = Reduced Pressure*(0.45724*([R]^2)*(Critical Temperature^2)/Peng–Robinson Parameter a)
Critical Temperature of Real Gas using Redlich Kwong Equation given 'b'
Go Critical Temperature given RKE and b = (Redlich–Kwong parameter b*Critical Pressure)/(0.08664*[R])
Redlich Kwong Parameter b at Critical Point
Go Parameter b = (0.08664*[R]*Critical Temperature)/Critical Pressure
Peng Robinson Parameter b of Real Gas given Critical Parameters
Go Parameter b = 0.07780*[R]*Critical Temperature/Critical Pressure

Critical Temperature of Real Gas using Reduced Redlich Kwong Equation Formula

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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