Actual Temperature of Real Gas given Clausius Parameter c, Reduced and Actual Parameters Solution

STEP 0: Pre-Calculation Summary
Formula Used
Temperature of Real Gas = (((Clausius Parameter c+(Volume of Real Gas/Reduced Volume))*8*(Pressure/Reduced Pressure))/(3*[R]))*Reduced Temperature
Trg = (((c+(Vreal/Vr))*8*(p/Pr))/(3*[R]))*Tr
This formula uses 1 Constants, 7 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 c - Clausius parameter c is an empirical parameter characteristic to equation obtained from Clausius model of real gas.
Volume of Real Gas - (Measured in Cubic Meter) - Volume of Real Gas is the space occupied by that real gas at standard temperature and pressure.
Reduced Volume - (Measured in Cubic Meter) - Reduced Volume of a fluid is computed from the ideal gas law as the ratio of its actual volume to critical volume.
Pressure - (Measured in Pascal) - Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.
Reduced Pressure - Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless.
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
Clausius Parameter c: 0.0002 --> No Conversion Required
Volume of Real Gas: 22 Liter --> 0.022 Cubic Meter (Check conversion ​here)
Reduced Volume: 9.5 Liter --> 0.0095 Cubic Meter (Check conversion ​here)
Pressure: 800 Pascal --> 800 Pascal No Conversion Required
Reduced Pressure: 0.8 --> No Conversion Required
Reduced Temperature: 10 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Trg = (((c+(Vreal/Vr))*8*(p/Pr))/(3*[R]))*Tr --> (((0.0002+(0.022/0.0095))*8*(800/0.8))/(3*[R]))*10
Evaluating ... ...
Trg = 7427.9868867777
STEP 3: Convert Result to Output's Unit
7427.9868867777 Kelvin --> No Conversion Required
FINAL ANSWER
7427.9868867777 7427.987 Kelvin <-- Temperature of Real Gas
(Calculation completed in 00.004 seconds)

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Created by Prerana Bakli
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 c, Reduced and Actual Parameters Formula

​LaTeX ​Go
Temperature of Real Gas = (((Clausius Parameter c+(Volume of Real Gas/Reduced Volume))*8*(Pressure/Reduced Pressure))/(3*[R]))*Reduced Temperature
Trg = (((c+(Vreal/Vr))*8*(p/Pr))/(3*[R]))*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 Actual Temperature of Real Gas given Clausius Parameter c, Reduced and Actual Parameters?

Actual Temperature of Real Gas given Clausius Parameter c, Reduced and Actual Parameters calculator uses Temperature of Real Gas = (((Clausius Parameter c+(Volume of Real Gas/Reduced Volume))*8*(Pressure/Reduced Pressure))/(3*[R]))*Reduced Temperature to calculate the Temperature of Real Gas, The Actual Temperature of real gas given Clausius parameter c, reduced and actual 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 c, Reduced and Actual Parameters using this online calculator? To use this online calculator for Actual Temperature of Real Gas given Clausius Parameter c, Reduced and Actual Parameters, enter Clausius Parameter c (c), Volume of Real Gas (Vreal), Reduced Volume (Vr), Pressure (p), Reduced Pressure (Pr) & Reduced Temperature (Tr) and hit the calculate button. Here is how the Actual Temperature of Real Gas given Clausius Parameter c, Reduced and Actual Parameters calculation can be explained with given input values -> 7427.987 = (((0.0002+(0.022/0.0095))*8*(800/0.8))/(3*[R]))*10.

FAQ

What is Actual Temperature of Real Gas given Clausius Parameter c, Reduced and Actual Parameters?
The Actual Temperature of real gas given Clausius parameter c, reduced and actual parameters formula is defined as the degree or intensity of heat present in the volume of real gas and is represented as Trg = (((c+(Vreal/Vr))*8*(p/Pr))/(3*[R]))*Tr or Temperature of Real Gas = (((Clausius Parameter c+(Volume of Real Gas/Reduced Volume))*8*(Pressure/Reduced Pressure))/(3*[R]))*Reduced Temperature. Clausius parameter c is an empirical parameter characteristic to equation obtained from Clausius model of real gas, Volume of Real Gas is the space occupied by that real gas at standard temperature and pressure, Reduced Volume of a fluid is computed from the ideal gas law as the ratio of its actual volume to critical volume, Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed, Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless & Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless.
How to calculate Actual Temperature of Real Gas given Clausius Parameter c, Reduced and Actual Parameters?
The Actual Temperature of real gas given Clausius parameter c, reduced and actual 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 c+(Volume of Real Gas/Reduced Volume))*8*(Pressure/Reduced Pressure))/(3*[R]))*Reduced Temperature. To calculate Actual Temperature of Real Gas given Clausius Parameter c, Reduced and Actual Parameters, you need Clausius Parameter c (c), Volume of Real Gas (Vreal), Reduced Volume (Vr), Pressure (p), Reduced Pressure (Pr) & Reduced Temperature (Tr). With our tool, you need to enter the respective value for Clausius Parameter c, Volume of Real Gas, Reduced Volume, Pressure, Reduced Pressure & 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 Temperature of Real Gas?
In this formula, Temperature of Real Gas uses Clausius Parameter c, Volume of Real Gas, Reduced Volume, Pressure, Reduced Pressure & Reduced Temperature. 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))/Critical Temperature For Clausius Model
  • 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
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