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

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Molar Volume is the volume occupied by one mole of a real gas at standard temperature and pressure. Check FAQs
Vm=([R]⋅(Tr⋅T'c)(Pr⋅P'c)+(aTr⋅T'c))+b'
Vm - Molar Volume?Tr - Reduced Temperature?T'c - Critical Temperature For Clausius Model?Pr - Reduced Pressure?P'c - Critical Pressure of Real Gas?a - Clausius Parameter a?b' - Clausius Parameter b for Real Gas?[R] - Universal gas constant?

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

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Here is how the Molar Volume of Real Gas using Clausius Equation given Reduced and Critical Parameters equation looks like with Values.

Here is how the Molar Volume of Real Gas using Clausius Equation given Reduced and Critical Parameters equation looks like with Units.

Here is how the Molar Volume of Real Gas using Clausius Equation given Reduced and Critical Parameters equation looks like.

0.0059Edit=(8.3145⋅(10Edit⋅154.4Edit)(0.8Edit⋅4.6E+6Edit)+(0.1Edit10Edit⋅154.4Edit))+0.0024Edit
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Molar Volume of Real Gas using Clausius Equation given Reduced and Critical Parameters Solution

Follow our step by step solution on how to calculate Molar Volume of Real Gas using Clausius Equation given Reduced and Critical Parameters?

FIRST Step Consider the formula
Vm=([R]⋅(Tr⋅T'c)(Pr⋅P'c)+(aTr⋅T'c))+b'
Next Step Substitute values of Variables
∴ Vm=([R]⋅(10⋅154.4K)(0.8⋅4.6E+6Pa)+(0.110⋅154.4K))+0.0024
Next Step Substitute values of Constants
∴ Vm=(8.3145⋅(10⋅154.4K)(0.8⋅4.6E+6Pa)+(0.110⋅154.4K))+0.0024
Next Step Prepare to Evaluate
∴ Vm=(8.3145⋅(10⋅154.4)(0.8⋅4.6E+6)+(0.110⋅154.4))+0.0024
Next Step Evaluate
∴Vm=0.00591845931581594m³/mol
LAST Step Rounding Answer
∴Vm=0.0059m³/mol

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

Variables
Constants
Molar Volume
Molar Volume is the volume occupied by one mole of a real gas at standard temperature and pressure.
Symbol: Vm
Measurement: Molar Magnetic SusceptibilityUnit: m³/mol
Note: Value can be positive or negative.
Formulas to find Molar VolumeOpen Variable
Reduced Temperature
Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless.
Symbol: Tr
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find Reduced TemperatureOpen Variable
Critical Temperature For Clausius Model
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.
Symbol: T'c
Measurement: TemperatureUnit: K
Note: Value should be greater than 0.
Formulas to find Critical Temperature For Clausius ModelOpen Variable
Reduced Pressure
Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless.
Symbol: Pr
Measurement: NAUnit: Unitless
Note: Value should be between 0 to 1.
Formulas to find Reduced PressureOpen Variable
Critical Pressure of Real Gas
Critical Pressure of Real Gas is the minimum pressure required to liquify a substance at the critical temperature.
Symbol: P'c
Measurement: PressureUnit: Pa
Note: Value should be greater than 0.
Formulas to find Critical Pressure of Real GasOpen Variable
Clausius Parameter a
Clausius parameter a is an empirical parameter characteristic to equation obtained from Clausius model of real gas.
Symbol: a
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
Formulas to find Clausius Parameter aOpen Variable
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.
Symbol: b'
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
Formulas to find Clausius Parameter b for Real GasOpen Variable
Universal gas constant
Universal gas constant is a fundamental physical constant that appears in the ideal gas law, relating the pressure, volume, and temperature of an ideal gas.
Symbol: [R]
Value: 8.31446261815324

Other formulas in Molar Volume category

​Go Molar Volume of Real Gas using Clausius Equation
Vm_CE=([R]⋅Trgp+(aTrg))+b'

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

Molar Volume of Real Gas using Clausius Equation given Reduced and Critical Parameters evaluator uses 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 to evaluate the Molar Volume, The Molar Volume of real gas using Clausius equation given reduced and critical parameters formula is defined as the volume of one mole of a gas at STP. Molar Volume is denoted by Vm symbol.

How to evaluate Molar Volume of Real Gas using Clausius Equation given Reduced and Critical Parameters using this online evaluator? To use this online evaluator for Molar Volume of Real Gas using Clausius Equation given Reduced and Critical Parameters, enter Reduced Temperature (Tr), Critical Temperature For Clausius Model (T'c), Reduced Pressure (Pr), Critical Pressure of Real Gas (P'c), Clausius Parameter a (a) & Clausius Parameter b for Real Gas (b') and hit the calculate button.

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

What is the formula to find Molar Volume of Real Gas using Clausius Equation given Reduced and Critical Parameters?
The formula of Molar Volume of Real Gas using Clausius Equation given Reduced and Critical Parameters is expressed as 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. Here is an example- 0.017048 = (([R]*(10*154.4))/((0.8*4600000)+(0.1/(10*154.4))))+0.00243.
How to calculate Molar Volume of Real Gas using Clausius Equation given Reduced and Critical Parameters?
With Reduced Temperature (Tr), Critical Temperature For Clausius Model (T'c), Reduced Pressure (Pr), Critical Pressure of Real Gas (P'c), Clausius Parameter a (a) & Clausius Parameter b for Real Gas (b') we can find Molar Volume of Real Gas using Clausius Equation given Reduced and Critical Parameters using the formula - 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. This formula also uses Universal gas constant .
Can the Molar Volume of Real Gas using Clausius Equation given Reduced and Critical Parameters be negative?
Yes, the Molar Volume of Real Gas using Clausius Equation given Reduced and Critical Parameters, measured in Molar Magnetic Susceptibility can be negative.
Which unit is used to measure Molar Volume of Real Gas using Clausius Equation given Reduced and Critical Parameters?
Molar Volume of Real Gas using Clausius Equation given Reduced and Critical Parameters is usually measured using the Cubic Meter per Mole[m³/mol] for Molar Magnetic Susceptibility. are the few other units in which Molar Volume of Real Gas using Clausius Equation given Reduced and Critical Parameters can be measured.
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