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Critical Molar Volume using Clausius Equation given Reduced and Critical Parameters Formula

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Critical Molar Volume is the volume occupied by gas at critical temperature and pressure per mole. Check FAQs

V m,c = \frac{(\frac{[R] \cdot (T r \cdot T' c)}{(P r \cdot P' c) + (\frac{a}{T r \cdot T' c})}) + b'}{V' m,r}

V_m,c - Critical Molar Volume?T_r - Reduced Temperature?T'_c - Critical Temperature For Clausius Model?P_r - Reduced Pressure?P'_c - Critical Pressure of Real Gas?a - Clausius Parameter a?b' - Clausius Parameter b for Real Gas?V'_m,r - Reduced Molar Volume for Real Gas?[R] - Universal gas constant?

Critical Molar Volume using Clausius Equation given Reduced and Critical Parameters Example

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

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

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

0.0007 = \frac{(\frac{8.3145 \cdot (10 \cdot 154.4)}{(0.8 \cdot 4.6E+6) + (\frac{0.1}{10 \cdot 154.4})}) + 0.0024}{8.96}

0.0007m³/mol = \frac{(\frac{8.3145 \cdot (10 \cdot 154.4K)}{(0.8 \cdot 4.6E+6Pa) + (\frac{0.1}{10 \cdot 154.4K})}) + 0.0024}{8.96}

0.0007 = \frac{(\frac{8.3145 \cdot (10 \cdot 154.4)}{(0.8 \cdot 4.6E+6) + (\frac{0.1}{10 \cdot 154.4})}) + 0.0024}{8.96}

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Critical Molar Volume using Clausius Equation given Reduced and Critical Parameters Solution

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

FIRST Step Consider the formula

V m,c = \frac{(\frac{[R] \cdot (T r \cdot T' c)}{(P r \cdot P' c) + (\frac{a}{T r \cdot T' c})}) + b'}{V' m,r}

Next Step Substitute values of Variables

∴

V m,c = \frac{(\frac{[R] \cdot (10 \cdot 154.4K)}{(0.8 \cdot 4.6E+6Pa) + (\frac{0.1}{10 \cdot 154.4K})}) + 0.0024}{8.96}

Next Step Substitute values of Constants

∴

V m,c = \frac{(\frac{8.3145 \cdot (10 \cdot 154.4K)}{(0.8 \cdot 4.6E+6Pa) + (\frac{0.1}{10 \cdot 154.4K})}) + 0.0024}{8.96}

Next Step Prepare to Evaluate

∴

V m,c = \frac{(\frac{8.3145 \cdot (10 \cdot 154.4)}{(0.8 \cdot 4.6E+6) + (\frac{0.1}{10 \cdot 154.4})}) + 0.0024}{8.96}

Next Step Evaluate

∴

V m,c = 0.000660542334354458m³/mol

LAST Step Rounding Answer

∴

V m,c = 0.0007m³/mol

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

Variables

Constants

Critical Molar Volume

Critical Molar Volume is the volume occupied by gas at critical temperature and pressure per mole.

Symbol: V_m,c

Measurement: Molar Magnetic SusceptibilityUnit: m³/mol

Note: Value can be positive or negative.

Formulas to find Critical Molar Volume

Reduced Temperature

Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless.

Symbol: T_r

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Reduced Temperature

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 Model

Reduced Pressure

Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless.

Symbol: P_r

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Reduced Pressure

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 Gas

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 a

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 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.

Symbol: V'_m,r

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Reduced Molar Volume for Real Gas

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 Critical Molar Volume category

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

V RP = \frac{(\frac{[R] \cdot T rg}{p + (\frac{a}{T rg})}) + b'}{V' m,r}

Go Critical Molar Volume using Clausius Equation given Actual and Critical Parameters

V RP = \frac{(\frac{[R] \cdot T rg}{p + (\frac{a}{T rg})}) + b'}{V m}

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

Critical Molar Volume using Clausius Equation given Reduced and Critical Parameters evaluator uses 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 to evaluate the Critical Molar Volume, The Critical Molar Volume using Clausius equation given reduced and critical parameters formula is defined as the volume occupied by gas at critical temperature and pressure per mole. Critical Molar Volume is denoted by V_m,c symbol.

How to evaluate Critical Molar Volume using Clausius Equation given Reduced and Critical Parameters using this online evaluator? To use this online evaluator for Critical Molar Volume using Clausius Equation given Reduced and Critical Parameters, enter Reduced Temperature (T_r), Critical Temperature For Clausius Model (T'_c), Reduced Pressure (P_r), Critical Pressure of Real Gas (P'_c), 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.

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

What is the formula to find Critical Molar Volume using Clausius Equation given Reduced and Critical Parameters?

The formula of Critical Molar Volume using Clausius Equation given Reduced and Critical Parameters is expressed as 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. Here is an example- 0.000528 = ((([R]*(10*154.4))/((0.8*4600000)+(0.1/(10*154.4))))+0.00243)/8.96.

How to calculate Critical Molar Volume using Clausius Equation given Reduced and Critical Parameters?

With Reduced Temperature (T_r), Critical Temperature For Clausius Model (T'_c), Reduced Pressure (P_r), Critical Pressure of Real Gas (P'_c), Clausius Parameter a (a), Clausius Parameter b for Real Gas (b') & Reduced Molar Volume for Real Gas (V'_m,r) we can find Critical Molar Volume using Clausius Equation given Reduced and Critical Parameters using the formula - 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. This formula also uses Universal gas constant .

Can the Critical Molar Volume using Clausius Equation given Reduced and Critical Parameters be negative?

Yes, the Critical Molar Volume using Clausius Equation given Reduced and Critical Parameters, measured in Molar Magnetic Susceptibility can be negative.

Which unit is used to measure Critical Molar Volume using Clausius Equation given Reduced and Critical Parameters?

Critical Molar Volume 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 Critical Molar Volume using Clausius Equation given Reduced and Critical Parameters can be measured.

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Critical Molar Volume using Clausius Equation given Reduced and Critical Parameters Formula

Critical Molar Volume using Clausius Equation given Reduced and Critical Parameters Example

Critical Molar Volume using Clausius Equation given Reduced and Critical Parameters Solution

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

Other formulas in Critical Molar Volume category

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

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

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