Critical Temperature of Real Gas using Actual and Reduced Temperature Solution

STEP 0: Pre-Calculation Summary
Formula Used
Critical Temperature For Clausius Model = Temperature of Real Gas/Reduced Temperature
T'c = Trg/Tr
This formula uses 3 Variables
Variables Used
Critical Temperature For Clausius Model - (Measured in Kelvin) - Critical Temperature For Clausius Model is the highest temperature at which the substance can exist as a liquid. At this phase boundaries vanish, the substance can exist both as a liquid and vapor.
Temperature of Real Gas - (Measured in Kelvin) - Temperature of Real Gas 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.
STEP 1: Convert Input(s) to Base Unit
Temperature of Real Gas: 300 Kelvin --> 300 Kelvin No Conversion Required
Reduced Temperature: 10 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
T'c = Trg/Tr --> 300/10
Evaluating ... ...
T'c = 30
STEP 3: Convert Result to Output's Unit
30 Kelvin --> No Conversion Required
FINAL ANSWER
30 Kelvin <-- Critical Temperature For Clausius Model
(Calculation completed in 00.004 seconds)

Credits

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Created by Prerana Bakli
University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
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Verified by Prashant Singh
K J Somaiya College of science (K J Somaiya), Mumbai
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Critical Temperature Calculators

Critical Temperature of Real Gas using Clausius Equation given Reduced and Critical Parameters
​ LaTeX ​ Go Critical Temperature For Clausius Model = (((Reduced Pressure*Critical Pressure of Real Gas)+(Clausius Parameter a/((((Reduced Molar Volume for Real Gas*Critical Molar Volume)+Clausius Parameter c)^2))))*(((Reduced Molar Volume for Real Gas*Critical Molar Volume)-Clausius Parameter b for Real Gas)/[R]))/Reduced Temperature
Critical Temperature of Real Gas using Clausius Equation given Actual and Critical Parameters
​ LaTeX ​ Go Critical Temperature For Clausius Model = ((Pressure+(Clausius Parameter a/(((Molar Volume+Clausius Parameter c)^2))))*((Molar Volume-Clausius Parameter b for Real Gas)/[R]))/Temperature of Real Gas
Critical Temperature of Real Gas using Clausius Equation given Reduced and Actual Parameters
​ LaTeX ​ Go Critical Temperature For Clausius Model = ((Pressure+(Clausius Parameter a/(((Molar Volume+Clausius Parameter c)^2))))*((Molar Volume-Clausius Parameter b for Real Gas)/[R]))/Reduced Temperature
Critical Temperature of Real Gas given Clausius Parameter a
​ LaTeX ​ Go Critical Temperature For Clausius Model = ((Clausius Parameter a*64*Critical Pressure of Real Gas)/(27*([R]^2)))^(1/3)

Critical Temperature of Real Gas using Actual and Reduced Temperature Formula

​LaTeX ​Go
Critical Temperature For Clausius Model = Temperature of Real Gas/Reduced Temperature
T'c = Trg/Tr

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 Actual and Reduced Temperature?

Critical Temperature of Real Gas using Actual and Reduced Temperature calculator uses Critical Temperature For Clausius Model = Temperature of Real Gas/Reduced Temperature to calculate the Critical Temperature For Clausius Model, The Critical Temperature of Real Gas using Actual and Reduced Temperature is 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 For Clausius Model is denoted by T'c symbol.

How to calculate Critical Temperature of Real Gas using Actual and Reduced Temperature using this online calculator? To use this online calculator for Critical Temperature of Real Gas using Actual and Reduced Temperature, enter Temperature of Real Gas (Trg) & Reduced Temperature (Tr) and hit the calculate button. Here is how the Critical Temperature of Real Gas using Actual and Reduced Temperature calculation can be explained with given input values -> 8.5 = 300/10.

FAQ

What is Critical Temperature of Real Gas using Actual and Reduced Temperature?
The Critical Temperature of Real Gas using Actual and Reduced Temperature is 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 T'c = Trg/Tr or Critical Temperature For Clausius Model = Temperature of Real Gas/Reduced Temperature. Temperature of Real Gas is the degree or intensity of heat present in a substance or object & Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless.
How to calculate Critical Temperature of Real Gas using Actual and Reduced Temperature?
The Critical Temperature of Real Gas using Actual and Reduced Temperature is 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 For Clausius Model = Temperature of Real Gas/Reduced Temperature. To calculate Critical Temperature of Real Gas using Actual and Reduced Temperature, you need Temperature of Real Gas (Trg) & Reduced Temperature (Tr). With our tool, you need to enter the respective value for Temperature of Real Gas & Reduced Temperature 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 For Clausius Model?
In this formula, Critical Temperature For Clausius Model uses Temperature of Real Gas & Reduced Temperature. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Critical Temperature For Clausius Model = ((Pressure+(Clausius Parameter a/(((Molar Volume+Clausius Parameter c)^2))))*((Molar Volume-Clausius Parameter b for Real Gas)/[R]))/Temperature of Real Gas
  • Critical Temperature For Clausius Model = ((Pressure+(Clausius Parameter a/(((Molar Volume+Clausius Parameter c)^2))))*((Molar Volume-Clausius Parameter b for Real Gas)/[R]))/Reduced Temperature
  • Critical Temperature For Clausius Model = (((Reduced Pressure*Critical Pressure of Real Gas)+(Clausius Parameter a/((((Reduced Molar Volume for Real Gas*Critical Molar Volume)+Clausius Parameter c)^2))))*(((Reduced Molar Volume for Real Gas*Critical Molar Volume)-Clausius Parameter b for Real Gas)/[R]))/Reduced Temperature
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