Molar Volume of Real Gas using Clausius Equation 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%

✖Molar Volume given CE is the volume occupied by one mole of a real gas at standard temperature and pressure.ⓘ Molar Volume of Real Gas using Clausius Equation [V_{m_CE}]

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Molar Volume of Real Gas using Clausius Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Molar Volume given CE = (([R]*Temperature of Real Gas)/(Pressure+(Clausius Parameter a/Temperature of Real Gas)))+Clausius Parameter b for Real Gas
V_{m_CE} = (([R]*T_rg)/(p+(a/T_rg)))+b'
This formula uses 1 Constants, 5 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

Molar Volume given CE - (Measured in Cubic Meter per Mole) - Molar Volume given CE is the volume occupied by one mole of a real gas at standard temperature and pressure.
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.

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_{m_CE} = (([R]*T_rg)/(p+(a/T_rg)))+b' --> (([R]*300)/(800+(0.1/300)))+0.00243

Evaluating ... ...

V_{m_CE} = 3.12035218267322

STEP 3: Convert Result to Output's Unit

3.12035218267322 Cubic Meter per Mole --> No Conversion Required

FINAL ANSWER

3.12035218267322 ≈ 3.120352 Cubic Meter per Mole <-- Molar Volume given CE

(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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< Molar Volume Calculators

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

LaTeX Go 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

Molar Volume of Real Gas using Clausius Equation

LaTeX Go Molar Volume given CE = (([R]*Temperature of Real Gas)/(Pressure+(Clausius Parameter a/Temperature of Real Gas)))+Clausius Parameter b for Real Gas

< 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

Molar Volume of Real Gas using Clausius Equation Formula

LaTeX Go

Molar Volume given CE = (([R]*Temperature of Real Gas)/(Pressure+(Clausius Parameter a/Temperature of Real Gas)))+Clausius Parameter b for Real Gas
V_{m_CE} = (([R]*T_rg)/(p+(a/T_rg)))+b'

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 Molar Volume of Real Gas using Clausius Equation?

Molar Volume of Real Gas using Clausius Equation calculator uses Molar Volume given CE = (([R]*Temperature of Real Gas)/(Pressure+(Clausius Parameter a/Temperature of Real Gas)))+Clausius Parameter b for Real Gas to calculate the Molar Volume given CE, The Molar Volume of real gas using Clausius equation formula is defined as the volume of one mole of a gas at STP. Molar Volume given CE is denoted by V_{m_CE} symbol.

How to calculate Molar Volume of Real Gas using Clausius Equation using this online calculator? To use this online calculator for Molar Volume of Real Gas using Clausius Equation, enter Temperature of Real Gas (T_rg), Pressure (p), Clausius Parameter a (a) & Clausius Parameter b for Real Gas (b') and hit the calculate button. Here is how the Molar Volume of Real Gas using Clausius Equation calculation can be explained with given input values -> 0.88584 = (([R]*300)/(800+(0.1/300)))+0.00243.

FAQ

What is Molar Volume of Real Gas using Clausius Equation?

The Molar Volume of real gas using Clausius equation formula is defined as the volume of one mole of a gas at STP and is represented as V_{m_CE} = (([R]*T_rg)/(p+(a/T_rg)))+b' or Molar Volume given CE = (([R]*Temperature of Real Gas)/(Pressure+(Clausius Parameter a/Temperature of Real Gas)))+Clausius Parameter b 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.

How to calculate Molar Volume of Real Gas using Clausius Equation?

The Molar Volume of real gas using Clausius equation formula is defined as the volume of one mole of a gas at STP is calculated using Molar Volume given CE = (([R]*Temperature of Real Gas)/(Pressure+(Clausius Parameter a/Temperature of Real Gas)))+Clausius Parameter b for Real Gas. To calculate Molar Volume of Real Gas using Clausius Equation, you need Temperature of Real Gas (T_rg), Pressure (p), Clausius Parameter a (a) & Clausius Parameter b for Real Gas (b'). 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 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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