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

STEP 0: Pre-Calculation Summary
Formula Used
Critical Temperature given RKE and b = (Redlich–Kwong parameter b*Critical Pressure)/(0.08664*[R])
TcRKE_b = (b*Pc)/(0.08664*[R])
This formula uses 1 Constants, 3 Variables
Constants Used
[R] - Universal gas constant Value Taken As 8.31446261815324
Variables Used
Critical Temperature given RKE and b - (Measured in Kelvin) - Critical Temperature given RKE and b 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.
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
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
TcRKE_b = (b*Pc)/(0.08664*[R]) --> (0.1*218)/(0.08664*[R])
Evaluating ... ...
TcRKE_b = 30.2624346714154
STEP 3: Convert Result to Output's Unit
30.2624346714154 Kelvin --> No Conversion Required
FINAL ANSWER
30.2624346714154 30.26243 Kelvin <-- Critical Temperature given RKE and b
(Calculation completed in 00.004 seconds)

Credits

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

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 Redlich Kwong Equation given 'b' Formula

Critical Temperature given RKE and b = (Redlich–Kwong parameter b*Critical Pressure)/(0.08664*[R])
TcRKE_b = (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 Critical Temperature of Real Gas using Redlich Kwong Equation given 'b'?

Critical Temperature of Real Gas using Redlich Kwong Equation given 'b' calculator uses Critical Temperature given RKE and b = (Redlich–Kwong parameter b*Critical Pressure)/(0.08664*[R]) to calculate the Critical Temperature given RKE and b, The Critical Temperature of Real Gas using Redlich Kwong Equation given 'b' formula is defined as the highest temperature at which the substance can exist as a liquid. That is the temperature at which the phase boundaries vanish, and the substance can exist both as a liquid and vapor. Critical Temperature given RKE and b is denoted by TcRKE_b symbol.

How to calculate Critical Temperature of Real Gas using Redlich Kwong Equation given 'b' using this online calculator? To use this online calculator for Critical Temperature of Real Gas using Redlich Kwong Equation given 'b', enter Redlich–Kwong parameter b (b) & Critical Pressure (Pc) and hit the calculate button. Here is how the Critical Temperature of Real Gas using Redlich Kwong Equation given 'b' calculation can be explained with given input values -> 30.26243 = (0.1*218)/(0.08664*[R]).

FAQ

What is Critical Temperature of Real Gas using Redlich Kwong Equation given 'b'?
The Critical Temperature of Real Gas using Redlich Kwong Equation given 'b' formula is defined as the highest temperature at which the substance can exist as a liquid. That is the temperature at which the phase boundaries vanish, and the substance can exist both as a liquid and vapor and is represented as TcRKE_b = (b*Pc)/(0.08664*[R]) or Critical Temperature given RKE and b = (Redlich–Kwong parameter b*Critical Pressure)/(0.08664*[R]). 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 Critical Temperature of Real Gas using Redlich Kwong Equation given 'b'?
The Critical Temperature of Real Gas using Redlich Kwong Equation given 'b' formula is defined as the highest temperature at which the substance can exist as a liquid. That is the temperature at which the phase boundaries vanish, and the substance can exist both as a liquid and vapor is calculated using Critical Temperature given RKE and b = (Redlich–Kwong parameter b*Critical Pressure)/(0.08664*[R]). To calculate Critical Temperature of Real Gas using Redlich Kwong Equation given 'b', you need Redlich–Kwong parameter b (b) & Critical Pressure (Pc). With our tool, you need to enter the respective value for 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.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!