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

STEP 0: Pre-Calculation Summary
Formula Used
Temperature given RP = (((Clausius Parameter a*64*(Pressure/Reduced Pressure))/(27*([R]^2)))^(1/3))*Reduced Temperature
TRP = (((a*64*(p/Pr))/(27*([R]^2)))^(1/3))*Tr
This formula uses 1 Constants, 5 Variables
Constants Used
[R] - Universal gas constant Value Taken As 8.31446261815324
Variables Used
Temperature given RP - (Measured in Kelvin) - Temperature given RP 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.
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 a: 0.1 --> No Conversion Required
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
TRP = (((a*64*(p/Pr))/(27*([R]^2)))^(1/3))*Tr --> (((0.1*64*(800/0.8))/(27*([R]^2)))^(1/3))*10
Evaluating ... ...
TRP = 15.0793497115397
STEP 3: Convert Result to Output's Unit
15.0793497115397 Kelvin --> No Conversion Required
FINAL ANSWER
15.0793497115397 15.07935 Kelvin <-- Temperature given RP
(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

Important Formulae on Clausius Model of Real Gas Calculators

Actual Pressure of Real Gas given Clausius Parameter b, Reduced and Actual Parameters
​ LaTeX ​ Go Pressure given b = (([R]*(Temperature of Real Gas/Reduced Temperature))/(4*((Volume of Real Gas/Reduced Volume)-Clausius Parameter b for Real Gas)))*Reduced Pressure
Actual Pressure of Real Gas given Clausius Parameter c, Reduced and Actual Parameters
​ LaTeX ​ Go Pressure given c = ((3*[R]*(Temperature of Real Gas/Reduced Temperature))/(8*(Clausius Parameter c+(Volume of Real Gas/Reduced Volume))))*Reduced Pressure
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 Pressure of Real Gas given Clausius Parameter a, Reduced and Critical Parameters
​ LaTeX ​ Go Pressure given a = ((27*([R]^2)*(Critical Temperature For Clausius Model^3))/(64*Clausius Parameter a))*Reduced Pressure

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

​LaTeX ​Go
Temperature given RP = (((Clausius Parameter a*64*(Pressure/Reduced Pressure))/(27*([R]^2)))^(1/3))*Reduced Temperature
TRP = (((a*64*(p/Pr))/(27*([R]^2)))^(1/3))*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 a, Reduced and Actual Parameters?

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

How to calculate Actual Temperature of Real Gas given Clausius Parameter a, Reduced and Actual Parameters using this online calculator? To use this online calculator for Actual Temperature of Real Gas given Clausius Parameter a, Reduced and Actual Parameters, enter Clausius Parameter a (a), 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 a, Reduced and Actual Parameters calculation can be explained with given input values -> 2.201585 = (((0.1*64*(800/0.8))/(27*([R]^2)))^(1/3))*10.

FAQ

What is Actual Temperature of Real Gas given Clausius Parameter a, Reduced and Actual Parameters?
The Actual Temperature of real gas given Clausius parameter a, 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 TRP = (((a*64*(p/Pr))/(27*([R]^2)))^(1/3))*Tr or Temperature given RP = (((Clausius Parameter a*64*(Pressure/Reduced Pressure))/(27*([R]^2)))^(1/3))*Reduced Temperature. Clausius parameter a is an empirical parameter characteristic to equation obtained from Clausius model of real gas, 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 a, Reduced and Actual Parameters?
The Actual Temperature of real gas given Clausius parameter a, 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 given RP = (((Clausius Parameter a*64*(Pressure/Reduced Pressure))/(27*([R]^2)))^(1/3))*Reduced Temperature. To calculate Actual Temperature of Real Gas given Clausius Parameter a, Reduced and Actual Parameters, you need Clausius Parameter a (a), Pressure (p), Reduced Pressure (Pr) & Reduced Temperature (Tr). With our tool, you need to enter the respective value for Clausius Parameter a, 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.
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