Reduced Volume of Real Gas given Clausius Parameter b, Reduced and Actual Parameters Solution

STEP 0: Pre-Calculation Summary
Formula Used
Reduced Volume = Volume of Real Gas/(Clausius Parameter b for Real Gas+(([R]*(Temperature of Real Gas/Reduced Temperature))/(4*(Pressure/Reduced Pressure))))
Vr = Vreal/(b'+(([R]*(Trg/Tr))/(4*(p/Pr))))
This formula uses 1 Constants, 7 Variables
Constants Used
[R] - Universal gas constant Value Taken As 8.31446261815324
Variables Used
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.
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.
Clausius Parameter b for Real Gas - Clausius Parameter b for Real Gas is an empirical parameter characteristic to equation obtained from Clausius model of real gas.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Volume of Real Gas: 22 Liter --> 0.022 Cubic Meter (Check conversion here)
Clausius Parameter b for Real Gas: 0.00243 --> No Conversion Required
Temperature of Real Gas: 300 Kelvin --> 300 Kelvin No Conversion Required
Reduced Temperature: 10 --> No Conversion Required
Pressure: 800 Pascal --> 800 Pascal No Conversion Required
Reduced Pressure: 0.8 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vr = Vreal/(b'+(([R]*(Trg/Tr))/(4*(p/Pr)))) --> 0.022/(0.00243+(([R]*(300/10))/(4*(800/0.8))))
Evaluating ... ...
Vr = 0.339566594543004
STEP 3: Convert Result to Output's Unit
0.339566594543004 Cubic Meter -->339.566594543004 Liter (Check conversion here)
FINAL ANSWER
339.566594543004 339.5666 Liter <-- Reduced Volume
(Calculation completed in 00.004 seconds)

Credits

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University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
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8 Reduced Volume Calculators

Reduced Molar Volume of Real Gas using Clausius Equation given Reduced and Critical Parameters
Go Reduced Molar Volume for Real Gas = ((([R]*(Reduced Temperature*Critical Temperature For Clausius Model))/((Reduced Pressure*Critical Pressure of Real Gas)+(Clausius Parameter a/(Reduced Temperature*Critical Temperature For Clausius Model))))+Clausius Parameter b for Real Gas)/Critical Molar Volume
Reduced Molar Volume of Real Gas using Clausius Equation given Critical and Actual Parameters
Go Reduced Molar Volume for Real Gas = ((([R]*Temperature of Real Gas)/(Pressure+(Clausius Parameter a/Temperature of Real Gas)))+Clausius Parameter b for Real Gas)/Critical Molar Volume
Reduced Molar Volume of Real Gas using Clausius Equation given Reduced and Actual Parameters
Go Reduced Molar Volume for Real Gas = ((([R]*Temperature of Real Gas)/(Pressure+(Clausius Parameter a/Temperature of Real Gas)))+Clausius Parameter b for Real Gas)/Molar Volume
Reduced Volume of Real Gas given Clausius Parameter c, Reduced and Actual Parameters
Go Reduced Volume given RP AP = Volume of Real Gas/(((3*[R]*(Real Gas Temperature/Reduced Temperature))/(8*(Real Gas Pressure/Reduced Pressure)))-Clausius Parameter c)
Reduced Volume of Real Gas given Clausius Parameter b, Reduced and Actual Parameters
Go Reduced Volume = Volume of Real Gas/(Clausius Parameter b for Real Gas+(([R]*(Temperature of Real Gas/Reduced Temperature))/(4*(Pressure/Reduced Pressure))))
Reduced Volume of Real Gas given Clausius Parameter b and Actual Parameters
Go Reduced Volume = Volume of Real Gas/(Clausius Parameter b for Real Gas+(([R]*Critical Temperature For Clausius Model)/(4*Critical Pressure of Real Gas)))
Reduced Volume of Real Gas given Clausius Parameter c and Actual Parameters
Go Reduced Volume = Volume of Real Gas/(((3*[R]*Critical Temperature)/(8*Critical Pressure of Real Gas))-Clausius Parameter c)
Reduced Volume of Real Gas using Actual and Critical Volume
Go Reduced Volume = Volume of Real Gas/Critical Volume

Reduced Volume of Real Gas given Clausius Parameter b, Reduced and Actual Parameters Formula

Reduced Volume = Volume of Real Gas/(Clausius Parameter b for Real Gas+(([R]*(Temperature of Real Gas/Reduced Temperature))/(4*(Pressure/Reduced Pressure))))
Vr = Vreal/(b'+(([R]*(Trg/Tr))/(4*(p/Pr))))

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 Reduced Volume of Real Gas given Clausius Parameter b, Reduced and Actual Parameters?

Reduced Volume of Real Gas given Clausius Parameter b, Reduced and Actual Parameters calculator uses Reduced Volume = Volume of Real Gas/(Clausius Parameter b for Real Gas+(([R]*(Temperature of Real Gas/Reduced Temperature))/(4*(Pressure/Reduced Pressure)))) to calculate the Reduced Volume, The Reduced Volume of real gas given Clausius parameter b, reduced and actual parameters formula is defined as the ratio of its actual volume to critical volume. Reduced Volume is denoted by Vr symbol.

How to calculate Reduced Volume of Real Gas given Clausius Parameter b, Reduced and Actual Parameters using this online calculator? To use this online calculator for Reduced Volume of Real Gas given Clausius Parameter b, Reduced and Actual Parameters, enter Volume of Real Gas (Vreal), Clausius Parameter b for Real Gas (b'), Temperature of Real Gas (Trg), Reduced Temperature (Tr), Pressure (p) & Reduced Pressure (Pr) and hit the calculate button. Here is how the Reduced Volume of Real Gas given Clausius Parameter b, Reduced and Actual Parameters calculation can be explained with given input values -> 1.1E+6 = 0.022/(0.00243+(([R]*(300/10))/(4*(800/0.8)))).

FAQ

What is Reduced Volume of Real Gas given Clausius Parameter b, Reduced and Actual Parameters?
The Reduced Volume of real gas given Clausius parameter b, reduced and actual parameters formula is defined as the ratio of its actual volume to critical volume and is represented as Vr = Vreal/(b'+(([R]*(Trg/Tr))/(4*(p/Pr)))) or Reduced Volume = Volume of Real Gas/(Clausius Parameter b for Real Gas+(([R]*(Temperature of Real Gas/Reduced Temperature))/(4*(Pressure/Reduced Pressure)))). Volume of Real Gas is the space occupied by that real gas at standard temperature and pressure, Clausius Parameter b for Real Gas is an empirical parameter characteristic to equation obtained from Clausius model of real gas, 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, 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.
How to calculate Reduced Volume of Real Gas given Clausius Parameter b, Reduced and Actual Parameters?
The Reduced Volume of real gas given Clausius parameter b, reduced and actual parameters formula is defined as the ratio of its actual volume to critical volume is calculated using Reduced Volume = Volume of Real Gas/(Clausius Parameter b for Real Gas+(([R]*(Temperature of Real Gas/Reduced Temperature))/(4*(Pressure/Reduced Pressure)))). To calculate Reduced Volume of Real Gas given Clausius Parameter b, Reduced and Actual Parameters, you need Volume of Real Gas (Vreal), Clausius Parameter b for Real Gas (b'), Temperature of Real Gas (Trg), Reduced Temperature (Tr), Pressure (p) & Reduced Pressure (Pr). With our tool, you need to enter the respective value for Volume of Real Gas, Clausius Parameter b for Real Gas, Temperature of Real Gas, Reduced Temperature, Pressure & Reduced 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 Reduced Volume?
In this formula, Reduced Volume uses Volume of Real Gas, Clausius Parameter b for Real Gas, Temperature of Real Gas, Reduced Temperature, Pressure & Reduced Pressure. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Reduced Volume = Volume of Real Gas/(Clausius Parameter b for Real Gas+(([R]*Critical Temperature For Clausius Model)/(4*Critical Pressure of Real Gas)))
  • Reduced Volume = Volume of Real Gas/(((3*[R]*Critical Temperature)/(8*Critical Pressure of Real Gas))-Clausius Parameter c)
  • Reduced Volume = Volume of Real Gas/Critical Volume
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