Critical Molar Volume of Real Gas using Clausius Equation given Reduced and Actual Parameters Calculator

✖Temperature of Real Gas is the degree or intensity of heat present in a substance or object.ⓘ Temperature of Real Gas [T_rg]			+10% -10%
✖Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.ⓘ Pressure [p]			+10% -10%
✖Clausius parameter a is an empirical parameter characteristic to equation obtained from Clausius model of real gas.ⓘ Clausius Parameter a [a]			+10% -10%
✖Clausius Parameter b for Real Gas is an empirical parameter characteristic to equation obtained from Clausius model of real gas.ⓘ Clausius Parameter b for Real Gas [b']			+10% -10%
✖Reduced Molar Volume for Real Gas of a fluid is computed from the ideal gas law at the substance's critical pressure and temperature per mole.ⓘ Reduced Molar Volume for Real Gas [V'_m,r]			+10% -10%

✖Critical Molar Volume given RP is the volume occupied by gas at critical temperature and pressure per mole.ⓘ Critical Molar Volume of Real Gas using Clausius Equation given Reduced and Actual Parameters [V_RP]

⎘ Copy

👎

Formula

✖

Critical Molar Volume of Real Gas using Clausius Equation given Reduced and Actual Parameters

Formula

`"V"_{"RP"} = ((("[R]"*"T"_{"rg"})/("p"+("a"/"T"_{"rg"})))+"b'")/"V'"_{"m,r"}`

Example

`"0.348254m³/mol"=((("[R]"*"300K")/("800Pa"+("0.1"/"300K")))+"2.43E^-3")/"8.96"`

Calculator

LaTeX

Reset

👍

Download Clausius Model of Real Gas Formula PDF

Critical Molar Volume of Real Gas using Clausius Equation given Reduced and Actual Parameters Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
V_RP = ((([R]*T_rg)/(p+(a/T_rg)))+b')/V'_m,r
This formula uses 1 Constants, 6 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

Critical Molar Volume given RP - (Measured in Cubic Meter per Mole) - Critical Molar Volume given RP is the volume occupied by gas at critical temperature and pressure per mole.
Temperature of Real Gas - (Measured in Kelvin) - Temperature of Real Gas is the degree or intensity of heat present in a substance or object.
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.
Clausius Parameter a - Clausius parameter a is an empirical parameter characteristic to equation obtained from Clausius model of real gas.
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.
Reduced Molar Volume for Real Gas - Reduced Molar Volume for Real Gas of a fluid is computed from the ideal gas law at the substance's critical pressure and temperature per mole.

STEP 1: Convert Input(s) to Base Unit

Temperature of Real Gas: 300 Kelvin --> 300 Kelvin No Conversion Required
Pressure: 800 Pascal --> 800 Pascal No Conversion Required
Clausius Parameter a: 0.1 --> No Conversion Required
Clausius Parameter b for Real Gas: 0.00243 --> No Conversion Required
Reduced Molar Volume for Real Gas: 8.96 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_RP = ((([R]*T_rg)/(p+(a/T_rg)))+b')/V'_m,r --> ((([R]*300)/(800+(0.1/300)))+0.00243)/8.96

Evaluating ... ...

V_RP = 0.348253591816208

STEP 3: Convert Result to Output's Unit

0.348253591816208 Cubic Meter per Mole --> No Conversion Required

FINAL ANSWER

0.348253591816208 ≈ 0.348254 Cubic Meter per Mole <-- Critical Molar Volume given RP

(Calculation completed in 00.004 seconds)

You are here -

Home » Chemistry » Kinetic Theory of Gases » Real Gas » Clausius Model of Real Gas » Critical Molar Volume » Critical Molar Volume of Real Gas using Clausius Equation given Reduced and Actual Parameters

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!

< 3 Critical Molar Volume Calculators

Critical Molar Volume using Clausius Equation given Reduced and Critical Parameters

Go Critical Molar Volume = ((([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)/Reduced Molar Volume for 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

< 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

Critical Molar Volume of Real Gas using Clausius Equation given Reduced and Actual Parameters Formula

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 Critical Molar Volume of Real Gas using Clausius Equation given Reduced and Actual Parameters?

Critical Molar Volume of Real Gas using Clausius Equation given Reduced and Actual Parameters calculator uses 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 to calculate the Critical Molar Volume given RP, The Critical Molar Volume of real gas using Clausius equation given reduced and actual parameters formula is defined as the volume occupied by gas at critical temperature and pressure per mole. Critical Molar Volume given RP is denoted by V_RP symbol.

How to calculate Critical Molar Volume of Real Gas using Clausius Equation given Reduced and Actual Parameters using this online calculator? To use this online calculator for Critical Molar Volume of Real Gas using Clausius Equation given Reduced and Actual Parameters, enter Temperature of Real Gas (T_rg), Pressure (p), Clausius Parameter a (a), Clausius Parameter b for Real Gas (b') & Reduced Molar Volume for Real Gas (V'_m,r) and hit the calculate button. Here is how the Critical Molar Volume of Real Gas using Clausius Equation given Reduced and Actual Parameters calculation can be explained with given input values -> 0.278603 = ((([R]*300)/(800+(0.1/300)))+0.00243)/8.96.

FAQ

What is Critical Molar Volume of Real Gas using Clausius Equation given Reduced and Actual Parameters?

The Critical Molar Volume of real gas using Clausius equation given reduced and actual parameters formula is defined as the volume occupied by gas at critical temperature and pressure per mole and is represented as V_RP = ((([R]*T_rg)/(p+(a/T_rg)))+b')/V'_m,r or 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. Temperature of Real Gas is the degree or intensity of heat present in a substance or object, Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed, Clausius parameter a is an empirical parameter characteristic to equation obtained from Clausius model of real gas, Clausius Parameter b for Real Gas is an empirical parameter characteristic to equation obtained from Clausius model of real gas & Reduced Molar Volume for Real Gas of a fluid is computed from the ideal gas law at the substance's critical pressure and temperature per mole.

How to calculate Critical Molar Volume of Real Gas using Clausius Equation given Reduced and Actual Parameters?

The Critical Molar Volume of real gas using Clausius equation given reduced and actual parameters formula is defined as the volume occupied by gas at critical temperature and pressure per mole is calculated using 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. To calculate Critical Molar Volume of Real Gas using Clausius Equation given Reduced and Actual Parameters, you need Temperature of Real Gas (T_rg), Pressure (p), Clausius Parameter a (a), Clausius Parameter b for Real Gas (b') & Reduced Molar Volume for Real Gas (V'_m,r). With our tool, you need to enter the respective value for Temperature of Real Gas, Pressure, Clausius Parameter a, Clausius Parameter b for Real Gas & Reduced Molar Volume for Real Gas 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 Critical Molar Volume given RP?

In this formula, Critical Molar Volume given RP uses Temperature of Real Gas, Pressure, Clausius Parameter a, Clausius Parameter b for Real Gas & Reduced Molar Volume for Real Gas. We can use 2 other way(s) to calculate the same, which is/are as follows -

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
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

Home

FREE PDFs

🔍 Search