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

STEP 0: Pre-Calculation Summary
Formula Used
Critical Temperature = ((Redlich–Kwong Parameter a*Critical Pressure)/(0.42748*([R]^2)))^(2/5)
Tc = ((a*Pc)/(0.42748*([R]^2)))^(2/5)
This formula uses 1 Constants, 3 Variables
Constants Used
[R] - Universal gas constant Value Taken As 8.31446261815324
Variables Used
Critical Temperature - (Measured in Kelvin) - Critical Temperature 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 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
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
Tc = ((a*Pc)/(0.42748*([R]^2)))^(2/5) --> ((0.15*218)/(0.42748*([R]^2)))^(2/5)
Evaluating ... ...
Tc = 1.04132293248502
STEP 3: Convert Result to Output's Unit
1.04132293248502 Kelvin --> No Conversion Required
FINAL ANSWER
1.04132293248502 1.041323 Kelvin <-- Critical Temperature
(Calculation completed in 00.004 seconds)

Credits

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University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
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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)

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

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

Critical Temperature of Real Gas using Redlich Kwong Equation given 'a' calculator uses Critical Temperature = ((Redlich–Kwong Parameter a*Critical Pressure)/(0.42748*([R]^2)))^(2/5) to calculate the Critical Temperature, The Critical Temperature of Real Gas using Redlich Kwong Equation given 'a' 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 is denoted by Tc symbol.

How to calculate Critical Temperature of Real Gas using Redlich Kwong Equation given 'a' using this online calculator? To use this online calculator for Critical Temperature of Real Gas using Redlich Kwong Equation given 'a', enter Redlich–Kwong Parameter a (a) & Critical Pressure (Pc) and hit the calculate button. Here is how the Critical Temperature of Real Gas using Redlich Kwong Equation given 'a' calculation can be explained with given input values -> 1.041323 = ((0.15*218)/(0.42748*([R]^2)))^(2/5).

FAQ

What is Critical Temperature of Real Gas using Redlich Kwong Equation given 'a'?
The Critical Temperature of Real Gas using Redlich Kwong Equation given 'a' 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 Tc = ((a*Pc)/(0.42748*([R]^2)))^(2/5) or Critical Temperature = ((Redlich–Kwong Parameter a*Critical Pressure)/(0.42748*([R]^2)))^(2/5). 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 Critical Temperature of Real Gas using Redlich Kwong Equation given 'a'?
The Critical Temperature of Real Gas using Redlich Kwong Equation given 'a' 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 = ((Redlich–Kwong Parameter a*Critical Pressure)/(0.42748*([R]^2)))^(2/5). To calculate Critical Temperature of Real Gas using Redlich Kwong Equation given 'a', you need Redlich–Kwong Parameter a (a) & Critical Pressure (Pc). With our tool, you need to enter the respective value for 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 Critical Temperature?
In this formula, Critical Temperature uses Redlich–Kwong Parameter a & Critical Pressure. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Critical 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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