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Clausius Parameter b given Reduced and Critical Parameters using Clausius Equation Formula

GoClausius Parameter b given Critical Parameters Formula

GoClausius Parameter b given Pressure, Temperature and Molar Volume of Real Gas Formula

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Clausius parameter b is an empirical parameter characteristic to equation obtained from Clausius model of real gas. Check FAQs

b = (V m,r \cdot V m,c) - (\frac{[R] \cdot (T r \cdot T c)}{(P r \cdot P c) + (\frac{a}{(T r \cdot T c) \cdot ({((V m,r \cdot V m,c) + c)}^{2})})})

b - Clausius Parameter b?V_m,r - Reduced Molar Volume?V_m,c - Critical Molar Volume?T_r - Reduced Temperature?T_c - Critical Temperature?P_r - Reduced Pressure?P_c - Critical Pressure?a - Clausius Parameter a?c - Clausius Parameter c?[R] - Universal gas constant?

Clausius Parameter b given Reduced and Critical Parameters using Clausius Equation Example

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

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

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

-179.6551 = (11.2 \cdot 11.5) - (\frac{8.3145 \cdot (10 \cdot 647)}{(0.8 \cdot 218) + (\frac{0.1}{(10 \cdot 647) \cdot ({((11.2 \cdot 11.5) + 0.0002)}^{2})})})

-179.6551 = (11.2 \cdot 11.5m³/mol) - (\frac{8.3145 \cdot (10 \cdot 647K)}{(0.8 \cdot 218Pa) + (\frac{0.1}{(10 \cdot 647K) \cdot ({((11.2 \cdot 11.5m³/mol) + 0.0002)}^{2})})})

-179.6551 = (11.2 \cdot 11.5) - (\frac{8.3145 \cdot (10 \cdot 647)}{(0.8 \cdot 218) + (\frac{0.1}{(10 \cdot 647) \cdot ({((11.2 \cdot 11.5) + 0.0002)}^{2})})})

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Clausius Parameter b given Reduced and Critical Parameters using Clausius Equation Solution

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

FIRST Step Consider the formula

b = (V m,r \cdot V m,c) - (\frac{[R] \cdot (T r \cdot T c)}{(P r \cdot P c) + (\frac{a}{(T r \cdot T c) \cdot ({((V m,r \cdot V m,c) + c)}^{2})})})

Next Step Substitute values of Variables

∴

b = (11.2 \cdot 11.5m³/mol) - (\frac{[R] \cdot (10 \cdot 647K)}{(0.8 \cdot 218Pa) + (\frac{0.1}{(10 \cdot 647K) \cdot ({((11.2 \cdot 11.5m³/mol) + 0.0002)}^{2})})})

Next Step Substitute values of Constants

∴

b = (11.2 \cdot 11.5m³/mol) - (\frac{8.3145 \cdot (10 \cdot 647K)}{(0.8 \cdot 218Pa) + (\frac{0.1}{(10 \cdot 647K) \cdot ({((11.2 \cdot 11.5m³/mol) + 0.0002)}^{2})})})

Next Step Prepare to Evaluate

∴

b = (11.2 \cdot 11.5) - (\frac{8.3145 \cdot (10 \cdot 647)}{(0.8 \cdot 218) + (\frac{0.1}{(10 \cdot 647) \cdot ({((11.2 \cdot 11.5) + 0.0002)}^{2})})})

Next Step Evaluate

∴

b = -179.655121210803

LAST Step Rounding Answer

∴

b = -179.6551

Clausius Parameter b given Reduced and Critical Parameters using Clausius Equation Formula Elements

Variables

Constants

Clausius Parameter b

Clausius parameter b 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

Reduced Molar Volume

Reduced Molar Volume 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

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

Critical Temperature is the highest temperature at which the substance can exist as a liquid. At this phase boundaries vanish, and 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

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

Critical Pressure 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

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 c

Clausius parameter c is an empirical parameter characteristic to equation obtained from Clausius model of real gas.

Symbol: c

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Clausius Parameter c

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 to find Clausius Parameter b

Go Clausius Parameter b given Critical Parameters

b = V c - (\frac{[R] \cdot T c}{4 \cdot P' c})

Go Clausius Parameter b given Pressure, Temperature and Molar Volume of Real Gas

b = V m - (\frac{[R] \cdot T rg}{p + (\frac{a}{T rg \cdot ({(V m + c)}^{2})})})

Other formulas in Clausius Parameter category

Go Clausius Parameter given Critical Parameters

a = \frac{27 \cdot ({[R]}^{2}) \cdot ({T c}^{3})}{64 \cdot P c}

Go Clausius Parameter given Pressure, Temperature and Molar Volume of Real Gas

a = ((\frac{[R] \cdot T rg}{V m - b}) - p) \cdot (T rg \cdot ({(V m + c)}^{2}))

How to Evaluate Clausius Parameter b given Reduced and Critical Parameters using Clausius Equation?

Clausius Parameter b given Reduced and Critical Parameters using Clausius Equation evaluator uses Clausius Parameter b = (Reduced Molar Volume*Critical Molar Volume)-(([R]*(Reduced Temperature*Critical Temperature))/((Reduced Pressure*Critical Pressure)+(Clausius Parameter a/((Reduced Temperature*Critical Temperature)*(((Reduced Molar Volume*Critical Molar Volume)+Clausius Parameter c)^2))))) to evaluate the Clausius Parameter b, The Clausius parameter b given reduced and critical parameters using Clausius equation formula is defined as an empirical parameter characteristic to equation obtained from Clausius model of real gas. Clausius Parameter b is denoted by b symbol.

How to evaluate Clausius Parameter b given Reduced and Critical Parameters using Clausius Equation using this online evaluator? To use this online evaluator for Clausius Parameter b given Reduced and Critical Parameters using Clausius Equation, enter Reduced Molar Volume (V_m,r), Critical Molar Volume (V_m,c), Reduced Temperature (T_r), Critical Temperature (T_c), Reduced Pressure (P_r), Critical Pressure (P_c), Clausius Parameter a (a) & Clausius Parameter c (c) and hit the calculate button.

FAQs on Clausius Parameter b given Reduced and Critical Parameters using Clausius Equation

What is the formula to find Clausius Parameter b given Reduced and Critical Parameters using Clausius Equation?

The formula of Clausius Parameter b given Reduced and Critical Parameters using Clausius Equation is expressed as Clausius Parameter b = (Reduced Molar Volume*Critical Molar Volume)-(([R]*(Reduced Temperature*Critical Temperature))/((Reduced Pressure*Critical Pressure)+(Clausius Parameter a/((Reduced Temperature*Critical Temperature)*(((Reduced Molar Volume*Critical Molar Volume)+Clausius Parameter c)^2))))). Here is an example- -179.655121 = (11.2*11.5)-(([R]*(10*647))/((0.8*218)+(0.1/((10*647)*(((11.2*11.5)+0.0002)^2))))).

How to calculate Clausius Parameter b given Reduced and Critical Parameters using Clausius Equation?

With Reduced Molar Volume (V_m,r), Critical Molar Volume (V_m,c), Reduced Temperature (T_r), Critical Temperature (T_c), Reduced Pressure (P_r), Critical Pressure (P_c), Clausius Parameter a (a) & Clausius Parameter c (c) we can find Clausius Parameter b given Reduced and Critical Parameters using Clausius Equation using the formula - Clausius Parameter b = (Reduced Molar Volume*Critical Molar Volume)-(([R]*(Reduced Temperature*Critical Temperature))/((Reduced Pressure*Critical Pressure)+(Clausius Parameter a/((Reduced Temperature*Critical Temperature)*(((Reduced Molar Volume*Critical Molar Volume)+Clausius Parameter c)^2))))). This formula also uses Universal gas constant .

What are the other ways to Calculate Clausius Parameter b?

Here are the different ways to Calculate Clausius Parameter b-

Clausius Parameter b=Critical Volume-(([R]*Critical Temperature)/(4*Critical Pressure of Real Gas))
Clausius Parameter b=Molar Volume-(([R]*Temperature of Real Gas)/(Pressure+(Clausius Parameter a/(Temperature of Real Gas*((Molar Volume+Clausius Parameter c)^2)))))

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Clausius Parameter b given Reduced and Critical Parameters using Clausius Equation Formula

​GoClausius Parameter b given Critical Parameters Formula

​GoClausius Parameter b given Pressure, Temperature and Molar Volume of Real Gas Formula

Clausius Parameter b given Reduced and Critical Parameters using Clausius Equation Example

Clausius Parameter b given Reduced and Critical Parameters using Clausius Equation Solution

Clausius Parameter b given Reduced and Critical Parameters using Clausius Equation Formula Elements

Other Formulas to find Clausius Parameter b

Other formulas in Clausius Parameter category

How to Evaluate Clausius Parameter b given Reduced and Critical Parameters using Clausius Equation?

FAQs on Clausius Parameter b given Reduced and Critical Parameters using Clausius Equation

Variable Name

GoClausius Parameter b given Critical Parameters Formula

GoClausius Parameter b given Pressure, Temperature and Molar Volume of Real Gas Formula