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

STEP 0: Pre-Calculation Summary
Formula Used
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)
Vr_RP_AP = Vreal/(((3*[R]*(Treal/Tr))/(8*(Preal/Pr)))-c)
This formula uses 1 Constants, 7 Variables
Constants Used
[R] - Universal gas constant Value Taken As 8.31446261815324
Variables Used
Reduced Volume given RP AP - Reduced Volume given RP AP 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.
Real Gas Temperature - (Measured in Kelvin) - Real Gas Temperature 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.
Real Gas Pressure - (Measured in Pascal) - 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 - Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless.
Clausius Parameter c - Clausius parameter c is an empirical parameter characteristic to equation obtained from Clausius model of real gas.
STEP 1: Convert Input(s) to Base Unit
Volume of Real Gas: 22 Liter --> 0.022 Cubic Meter (Check conversion here)
Real Gas Temperature: 300 Kelvin --> 300 Kelvin No Conversion Required
Reduced Temperature: 10 --> No Conversion Required
Real Gas Pressure: 101 Pascal --> 101 Pascal No Conversion Required
Reduced Pressure: 0.8 --> No Conversion Required
Clausius Parameter c: 0.0002 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vr_RP_AP = Vreal/(((3*[R]*(Treal/Tr))/(8*(Preal/Pr)))-c) --> 0.022/(((3*[R]*(300/10))/(8*(101/0.8)))-0.0002)
Evaluating ... ...
Vr_RP_AP = 0.0297019259756425
STEP 3: Convert Result to Output's Unit
0.0297019259756425 --> No Conversion Required
FINAL ANSWER
0.0297019259756425 0.029702 <-- Reduced Volume given RP AP
(Calculation completed in 00.004 seconds)

Credits

Created by Prerana Bakli
University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
Prerana Bakli has created this Calculator and 800+ more calculators!
Verified by Prashant Singh
K J Somaiya College of science (K J Somaiya), Mumbai
Prashant Singh has verified this Calculator and 500+ more calculators!

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

19 Important Formulae on Clausius Model of Real Gas Calculators

Temperature of Real Gas using Clausius Equation given Reduced and Critical Parameters
Go Temperature given CE = ((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 of Real Gas using Clausius Equation given Reduced and Actual Parameters
Go Reduced Temperature given RP AP = ((Pressure+(Clausius Parameter a/(((Molar Volume+Clausius Parameter c)^2))))*((Molar Volume-Clausius Parameter b for Real Gas)/[R]))/Temperature of Real Gas
Critical Molar Volume of Real Gas using Clausius Equation given Reduced and Actual Parameters
Go Critical Molar Volume given RP = ((([R]*Temperature of Real Gas)/(Pressure+(Clausius Parameter a/Temperature of Real Gas)))+Clausius Parameter b for Real Gas)/Reduced Molar Volume for Real Gas
Critical Molar Volume using Clausius Equation given Actual and Critical Parameters
Go Critical Molar Volume given RP = ((([R]*Temperature of Real Gas)/(Pressure+(Clausius Parameter a/Temperature of Real Gas)))+Clausius Parameter b for Real Gas)/Molar Volume
Actual Pressure of Real Gas given Clausius Parameter b, Reduced and Actual Parameters
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
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)
Clausius Parameter b given Reduced and Actual Parameters
Go Clausius Parameter b given RP = (Volume of Real Gas/Reduced Volume)-(([R]* (Temperature of Real Gas/Reduced Temperature))/(4*(Pressure/Reduced Pressure)))
Actual Pressure of Real Gas given Clausius Parameter c, Reduced and Actual Parameters
Go Pressure given c = ((3*[R]*(Temperature of Real Gas/Reduced Temperature))/(8*(Clausius Parameter c+(Volume of Real Gas/Reduced Volume))))*Reduced Pressure
Temperature of Real Gas using Clausius Equation
Go Temperature given CE = (Pressure+(Clausius Parameter a/(((Molar Volume+Clausius Parameter c)^2))))*((Molar Volume-Clausius Parameter b for Real Gas)/[R])
Molar Volume of Real Gas using Clausius Equation
Go Molar Volume given CE = (([R]*Temperature of Real Gas)/(Pressure+(Clausius Parameter a/Temperature of Real Gas)))+Clausius Parameter b for Real Gas
Actual Volume of Real Gas using Clausius Parameter b, Reduced and Critical Parameters
Go Volume of Real Gas given CP = (Clausius Parameter b for Real Gas+(([R]*Critical Temperature For Clausius Model)/(4*Critical Pressure of Real Gas)))*Reduced Volume
Critical Temperature given Clausius Parameter c, Reduced and Actual Parameters
Go Critical temperature given RP = ((Clausius Parameter c+(Volume of Real Gas/Reduced Volume))*8*(Pressure/Reduced Pressure))/(3*[R])
Actual Volume of Real Gas using Clausius Parameter c, Reduced and Critical Parameters
Go Volume of Real Gas given CP = (((3*[R]*Critical Temperature)/(8*Critical Pressure of Real Gas))-Clausius Parameter c)*Reduced Molar Volume for Real Gas
Actual Temperature of Real Gas given Clausius Parameter a, Reduced and Actual Parameters
Go Temperature given RP = (((Clausius Parameter a*64*(Pressure/Reduced Pressure))/(27*([R]^2)))^(1/3))*Reduced Temperature
Clausius Parameter c given Critical Parameters
Go Clausius Parameter c given CP = ((3*[R]*Critical Temperature)/(8*Critical Pressure))-Critical Volume
Actual Pressure of Real Gas given Clausius Parameter a, Reduced and Critical Parameters
Go Pressure given a = ((27*([R]^2)*(Critical Temperature For Clausius Model^3))/(64*Clausius Parameter a))*Reduced Pressure
Actual Temperature of Real Gas using Critical and Reduced Temperature
Go Temperature given RT = Reduced Temperature*Critical Temperature For Clausius Model
Reduced Pressure of Real Gas using Actual and Critical Pressure
Go Reduced Pressure given RP AP = Pressure of Gas/Critical Pressure of Real Gas
Critical Pressure of Real Gas using Actual and Reduced Pressure
Go Critical Pressure given RP = Pressure/Reduced Pressure

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

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)
Vr_RP_AP = Vreal/(((3*[R]*(Treal/Tr))/(8*(Preal/Pr)))-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 Reduced Volume of Real Gas given Clausius Parameter c, Reduced and Actual Parameters?

Reduced Volume of Real Gas given Clausius Parameter c, Reduced and Actual Parameters calculator uses 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) to calculate the Reduced Volume given RP AP, The Reduced Volume of real gas given Clausius parameter c, reduced and actual parameters formula is defined as the ratio of its actual volume to critical volume. Reduced Volume given RP AP is denoted by Vr_RP_AP symbol.

How to calculate Reduced Volume of Real Gas given Clausius Parameter c, Reduced and Actual Parameters using this online calculator? To use this online calculator for Reduced Volume of Real Gas given Clausius Parameter c, Reduced and Actual Parameters, enter Volume of Real Gas (Vreal), Real Gas Temperature (Treal), Reduced Temperature (Tr), Real Gas Pressure (Preal), Reduced Pressure (Pr) & Clausius Parameter c (c) and hit the calculate button. Here is how the Reduced Volume of Real Gas given Clausius Parameter c, Reduced and Actual Parameters calculation can be explained with given input values -> 0.004335 = 0.022/(((3*[R]*(300/10))/(8*(101/0.8)))-0.0002).

FAQ

What is Reduced Volume of Real Gas given Clausius Parameter c, Reduced and Actual Parameters?
The Reduced Volume of real gas given Clausius parameter c, reduced and actual parameters formula is defined as the ratio of its actual volume to critical volume and is represented as Vr_RP_AP = Vreal/(((3*[R]*(Treal/Tr))/(8*(Preal/Pr)))-c) or 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). Volume of Real Gas is the space occupied by that real gas at standard temperature and pressure, Real Gas Temperature 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, 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 & Clausius parameter c is an empirical parameter characteristic to equation obtained from Clausius model of real gas.
How to calculate Reduced Volume of Real Gas given Clausius Parameter c, Reduced and Actual Parameters?
The Reduced Volume of real gas given Clausius parameter c, reduced and actual parameters formula is defined as the ratio of its actual volume to critical volume is calculated using 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). To calculate Reduced Volume of Real Gas given Clausius Parameter c, Reduced and Actual Parameters, you need Volume of Real Gas (Vreal), Real Gas Temperature (Treal), Reduced Temperature (Tr), Real Gas Pressure (Preal), Reduced Pressure (Pr) & Clausius Parameter c (c). With our tool, you need to enter the respective value for Volume of Real Gas, Real Gas Temperature, Reduced Temperature, Real Gas Pressure, Reduced Pressure & Clausius Parameter c and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!