Actual Temperature of Real Gas given Clausius Parameter a, Actual and Critical Parameters Solution

STEP 0: Pre-Calculation Summary
Formula Used
Temperature of Real Gas = (((Clausius Parameter a*64*Critical Pressure of Real Gas)/(27*([R]^2)))^(1/3))/Critical Temperature For Clausius Model
Trg = (((a*64*P'c)/(27*([R]^2)))^(1/3))/T'c
This formula uses 1 Constants, 4 Variables
Constants Used
[R] - Universal gas constant Value Taken As 8.31446261815324
Variables Used
Temperature of Real Gas - (Measured in Kelvin) - Temperature of Real Gas is the degree or intensity of heat present in a substance or object.
Clausius Parameter a - Clausius parameter a is an empirical parameter characteristic to equation obtained from Clausius model of real gas.
Critical Pressure of Real Gas - (Measured in Pascal) - Critical Pressure of Real Gas is the minimum pressure required to liquify a substance at the critical temperature.
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.
STEP 1: Convert Input(s) to Base Unit
Clausius Parameter a: 0.1 --> No Conversion Required
Critical Pressure of Real Gas: 4600000 Pascal --> 4600000 Pascal No Conversion Required
Critical Temperature For Clausius Model: 154.4 Kelvin --> 154.4 Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Trg = (((a*64*P'c)/(27*([R]^2)))^(1/3))/T'c --> (((0.1*64*4600000)/(27*([R]^2)))^(1/3))/154.4
Evaluating ... ...
Trg = 0.162425642911303
STEP 3: Convert Result to Output's Unit
0.162425642911303 Kelvin --> No Conversion Required
FINAL ANSWER
0.162425642911303 0.162426 Kelvin <-- Temperature of Real Gas
(Calculation completed in 00.004 seconds)

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University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
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Actual Temperature of Real Gas Calculators

Actual Temperature of Real Gas given Clausius Parameter b, Actual and Critical Parameters
​ LaTeX ​ Go Temperature of Real Gas = ((Critical Volume-Clausius Parameter b for Real Gas)*((4*Critical Pressure of Real Gas)/[R]))/Critical Temperature For Clausius Model
Actual Temperature of Real Gas given Clausius Parameter a, Reduced and Actual Parameters
​ LaTeX ​ Go Temperature given RP = (((Clausius Parameter a*64*(Pressure/Reduced Pressure))/(27*([R]^2)))^(1/3))*Reduced Temperature
Actual Temperature of Real Gas given Clausius Parameter a, Actual and Critical Parameters
​ LaTeX ​ Go Temperature of Real Gas = (((Clausius Parameter a*64*Critical Pressure of Real Gas)/(27*([R]^2)))^(1/3))/Critical Temperature For Clausius Model
Actual Temperature of Real Gas given Clausius Parameter a, Reduced and Critical Parameters
​ LaTeX ​ Go Temperature of Real Gas = (((Clausius Parameter a*64*Critical Pressure of Real Gas)/(27*([R]^2)))^(1/3))*Reduced Temperature

Actual Temperature of Real Gas given Clausius Parameter a, Actual and Critical Parameters Formula

​LaTeX ​Go
Temperature of Real Gas = (((Clausius Parameter a*64*Critical Pressure of Real Gas)/(27*([R]^2)))^(1/3))/Critical Temperature For Clausius Model
Trg = (((a*64*P'c)/(27*([R]^2)))^(1/3))/T'c

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 Actual Temperature of Real Gas given Clausius Parameter a, Actual and Critical Parameters?

Actual Temperature of Real Gas given Clausius Parameter a, Actual and Critical Parameters calculator uses Temperature of Real Gas = (((Clausius Parameter a*64*Critical Pressure of Real Gas)/(27*([R]^2)))^(1/3))/Critical Temperature For Clausius Model to calculate the Temperature of Real Gas, The Actual Temperature of real gas given Clausius parameter a, actual and critical parameters formula is defined as the degree or intensity of heat present in the volume of real gas. Temperature of Real Gas is denoted by Trg symbol.

How to calculate Actual Temperature of Real Gas given Clausius Parameter a, Actual and Critical Parameters using this online calculator? To use this online calculator for Actual Temperature of Real Gas given Clausius Parameter a, Actual and Critical Parameters, enter Clausius Parameter a (a), Critical Pressure of Real Gas (P'c) & Critical Temperature For Clausius Model (T'c) and hit the calculate button. Here is how the Actual Temperature of Real Gas given Clausius Parameter a, Actual and Critical Parameters calculation can be explained with given input values -> 0.162426 = (((0.1*64*4600000)/(27*([R]^2)))^(1/3))/154.4.

FAQ

What is Actual Temperature of Real Gas given Clausius Parameter a, Actual and Critical Parameters?
The Actual Temperature of real gas given Clausius parameter a, actual and critical parameters formula is defined as the degree or intensity of heat present in the volume of real gas and is represented as Trg = (((a*64*P'c)/(27*([R]^2)))^(1/3))/T'c or Temperature of Real Gas = (((Clausius Parameter a*64*Critical Pressure of Real Gas)/(27*([R]^2)))^(1/3))/Critical Temperature For Clausius Model. Clausius parameter a is an empirical parameter characteristic to equation obtained from Clausius model of real gas, Critical Pressure of Real Gas is the minimum pressure required to liquify a substance at the critical temperature & 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.
How to calculate Actual Temperature of Real Gas given Clausius Parameter a, Actual and Critical Parameters?
The Actual Temperature of real gas given Clausius parameter a, actual and critical parameters formula is defined as the degree or intensity of heat present in the volume of real gas is calculated using Temperature of Real Gas = (((Clausius Parameter a*64*Critical Pressure of Real Gas)/(27*([R]^2)))^(1/3))/Critical Temperature For Clausius Model. To calculate Actual Temperature of Real Gas given Clausius Parameter a, Actual and Critical Parameters, you need Clausius Parameter a (a), Critical Pressure of Real Gas (P'c) & Critical Temperature For Clausius Model (T'c). With our tool, you need to enter the respective value for Clausius Parameter a, Critical Pressure of Real Gas & Critical Temperature For Clausius Model 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 Temperature of Real Gas?
In this formula, Temperature of Real Gas uses Clausius Parameter a, Critical Pressure of Real Gas & Critical Temperature For Clausius Model. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Temperature of Real Gas = (((Clausius Parameter a*64*Critical Pressure of Real Gas)/(27*([R]^2)))^(1/3))*Reduced Temperature
  • Temperature of Real Gas = ((Critical Volume-Clausius Parameter b for Real Gas)*((4*Critical Pressure of Real Gas)/[R]))/Critical Temperature For Clausius Model
  • Temperature of Real Gas = (((Volume of Real Gas/Reduced Volume)-Clausius Parameter b for Real Gas)*((4*(Pressure/Reduced Pressure))/[R]))*Reduced Temperature
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