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

STEP 0: Pre-Calculation Summary
Formula Used
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
Vreal_CP = (b'+(([R]*T'c)/(4*P'c)))*Vr
This formula uses 1 Constants, 5 Variables
Constants Used
[R] - Universal gas constant Value Taken As 8.31446261815324
Variables Used
Volume of Real Gas given CP - (Measured in Cubic Meter) - Volume of Real Gas given CP 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.
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.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Clausius Parameter b for Real Gas: 0.00243 --> No Conversion Required
Critical Temperature For Clausius Model: 154.4 Kelvin --> 154.4 Kelvin No Conversion Required
Critical Pressure of Real Gas: 4600000 Pascal --> 4600000 Pascal No Conversion Required
Reduced Volume: 9.5 Liter --> 0.0095 Cubic Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vreal_CP = (b'+(([R]*T'c)/(4*P'c)))*Vr --> (0.00243+(([R]*154.4)/(4*4600000)))*0.0095
Evaluating ... ...
Vreal_CP = 2.37478072700167E-05
STEP 3: Convert Result to Output's Unit
2.37478072700167E-05 Cubic Meter -->0.0237478072700167 Liter (Check conversion here)
FINAL ANSWER
0.0237478072700167 0.023748 Liter <-- Volume of Real Gas given CP
(Calculation completed in 00.004 seconds)

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8 Actual Volume of Real Gas Calculators

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

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

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
Vreal_CP = (b'+(([R]*T'c)/(4*P'c)))*Vr

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 Volume of Real Gas using Clausius Parameter b, Reduced and Critical Parameters?

Actual Volume of Real Gas using Clausius Parameter b, Reduced and Critical Parameters calculator uses 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 to calculate the Volume of Real Gas given CP, The Actual Volume of Real Gas using Clausius Parameter b, Reduced and Critical Parameters formula is defined as the space occupied by the real gas at STP. Volume of Real Gas given CP is denoted by Vreal_CP symbol.

How to calculate Actual Volume of Real Gas using Clausius Parameter b, Reduced and Critical Parameters using this online calculator? To use this online calculator for Actual Volume of Real Gas using Clausius Parameter b, Reduced and Critical Parameters, enter Clausius Parameter b for Real Gas (b'), Critical Temperature For Clausius Model (T'c), Critical Pressure of Real Gas (P'c) & Reduced Volume (Vr) and hit the calculate button. Here is how the Actual Volume of Real Gas using Clausius Parameter b, Reduced and Critical Parameters calculation can be explained with given input values -> 25.86244 = (0.00243+(([R]*154.4)/(4*4600000)))*0.0095.

FAQ

What is Actual Volume of Real Gas using Clausius Parameter b, Reduced and Critical Parameters?
The Actual Volume of Real Gas using Clausius Parameter b, Reduced and Critical Parameters formula is defined as the space occupied by the real gas at STP and is represented as Vreal_CP = (b'+(([R]*T'c)/(4*P'c)))*Vr or 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. Clausius Parameter b for Real Gas is an empirical parameter characteristic to equation obtained from Clausius model of real gas, 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, Critical Pressure of Real Gas is the minimum pressure required to liquify a substance at the critical temperature & Reduced Volume of a fluid is computed from the ideal gas law as the ratio of its actual volume to critical volume.
How to calculate Actual Volume of Real Gas using Clausius Parameter b, Reduced and Critical Parameters?
The Actual Volume of Real Gas using Clausius Parameter b, Reduced and Critical Parameters formula is defined as the space occupied by the real gas at STP is calculated using 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. To calculate Actual Volume of Real Gas using Clausius Parameter b, Reduced and Critical Parameters, you need Clausius Parameter b for Real Gas (b'), Critical Temperature For Clausius Model (T'c), Critical Pressure of Real Gas (P'c) & Reduced Volume (Vr). With our tool, you need to enter the respective value for Clausius Parameter b for Real Gas, Critical Temperature For Clausius Model, Critical Pressure of Real Gas & Reduced Volume 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 Volume of Real Gas given CP?
In this formula, Volume of Real Gas given CP uses Clausius Parameter b for Real Gas, Critical Temperature For Clausius Model, Critical Pressure of Real Gas & Reduced Volume. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • 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
  • 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
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