Reduced 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%
✖Molar Volume is the volume occupied by one mole of a real gas at standard temperature and pressure.ⓘ Molar Volume [V_m]			+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 of Real Gas using Clausius Equation given Reduced and Actual Parameters [V'_m,r]

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Formula

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

Formula

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

Example

`"0.139301"=((("[R]"*"300K")/("800Pa"+("0.1"/"300K")))+"2.43E^-3")/"22.4m³/mol"`

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

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

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
Molar Volume: 22.4 Cubic Meter per Mole --> 22.4 Cubic Meter per Mole No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V'_m,r = ((([R]*T_rg)/(p+(a/T_rg)))+b')/V_m --> ((([R]*300)/(800+(0.1/300)))+0.00243)/22.4

Evaluating ... ...

V'_m,r = 0.139301436726483

STEP 3: Convert Result to Output's Unit

0.139301436726483 --> No Conversion Required

FINAL ANSWER

0.139301436726483 ≈ 0.139301 <-- Reduced Molar Volume for Real Gas

(Calculation completed in 00.004 seconds)

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

Reduced Molar Volume of Real Gas using Clausius Equation given Reduced and Actual Parameters calculator uses 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 to calculate the Reduced Molar Volume for Real Gas, The Reduced Molar Volume of real gas using Clausius equation given reduced and actual parameters formula of a fluid is computed from the ideal gas law as the ratio of its actual volume to critical volume per mole. Reduced Molar Volume for Real Gas is denoted by V'_m,r symbol.

How to calculate Reduced Molar Volume of Real Gas using Clausius Equation given Reduced and Actual Parameters using this online calculator? To use this online calculator for Reduced 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') & Molar Volume (V_m) and hit the calculate button. Here is how the Reduced Molar Volume of Real Gas using Clausius Equation given Reduced and Actual Parameters calculation can be explained with given input values -> 0.139301 = ((([R]*300)/(800+(0.1/300)))+0.00243)/22.4.

FAQ

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

The Reduced Molar Volume of real gas using Clausius equation given reduced and actual parameters formula of a fluid is computed from the ideal gas law as the ratio of its actual volume to critical volume per mole and is represented as V'_m,r = ((([R]*T_rg)/(p+(a/T_rg)))+b')/V_m or 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. 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 & Molar Volume is the volume occupied by one mole of a real gas at standard temperature and pressure.

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

The Reduced Molar Volume of real gas using Clausius equation given reduced and actual parameters formula of a fluid is computed from the ideal gas law as the ratio of its actual volume to critical volume per mole is calculated using 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. To calculate Reduced 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') & Molar Volume (V_m). 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 & Molar 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 Reduced Molar Volume for Real Gas?

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

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 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

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