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

GoClausius Parameter b given Critical Parameters Formula

GoClausius Parameter b given Reduced and Critical Parameters using Clausius Equation 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 - (\frac{[R] \cdot T rg}{p + (\frac{a}{T rg \cdot ({(V m + c)}^{2})})})

b - Clausius Parameter b?V_m - Molar Volume?T_rg - Temperature of Real Gas?p - Pressure?a - Clausius Parameter a?c - Clausius Parameter c?[R] - Universal gas constant?

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

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Here is how the Clausius Parameter b given Pressure, Temperature and Molar Volume of Real Gas equation looks like with Values.

Here is how the Clausius Parameter b given Pressure, Temperature and Molar Volume of Real Gas equation looks like with Units.

Here is how the Clausius Parameter b given Pressure, Temperature and Molar Volume of Real Gas equation looks like.

19.2821 = 22.4 - (\frac{8.3145 \cdot 300}{800 + (\frac{0.1}{300 \cdot ({(22.4 + 0.0002)}^{2})})})

19.2821 = 22.4m³/mol - (\frac{8.3145 \cdot 300K}{800Pa + (\frac{0.1}{300K \cdot ({(22.4m³/mol + 0.0002)}^{2})})})

19.2821 = 22.4 - (\frac{8.3145 \cdot 300}{800 + (\frac{0.1}{300 \cdot ({(22.4 + 0.0002)}^{2})})})

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

Follow our step by step solution on how to calculate Clausius Parameter b given Pressure, Temperature and Molar Volume of Real Gas?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

b = 22.4m³/mol - (\frac{[R] \cdot 300K}{800Pa + (\frac{0.1}{300K \cdot ({(22.4m³/mol + 0.0002)}^{2})})})

Next Step Substitute values of Constants

∴

b = 22.4m³/mol - (\frac{8.3145 \cdot 300K}{800Pa + (\frac{0.1}{300K \cdot ({(22.4m³/mol + 0.0002)}^{2})})})

Next Step Prepare to Evaluate

∴

b = 22.4 - (\frac{8.3145 \cdot 300}{800 + (\frac{0.1}{300 \cdot ({(22.4 + 0.0002)}^{2})})})

Next Step Evaluate

∴

b = 19.2820765207816

LAST Step Rounding Answer

∴

b = 19.2821

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

Molar Volume

Molar Volume is the volume occupied by one mole of a real gas at standard temperature and pressure.

Symbol: V_m

Measurement: Molar Magnetic SusceptibilityUnit: m³/mol

Note: Value can be positive or negative.

Formulas to find Molar Volume

Temperature of Real Gas

Temperature of Real Gas is the degree or intensity of heat present in a substance or object.

Symbol: T_rg

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Temperature of Real Gas

Pressure

Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.

Symbol: p

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find 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 Reduced and Critical Parameters using Clausius Equation

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})})})

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}))

Go Clausius Parameter given Reduced and Actual Parameters

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

Go Clausius Parametera given Reduced and Critical Parameters using Clausius Equation

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

How to Evaluate Clausius Parameter b given Pressure, Temperature and Molar Volume of Real Gas?

Clausius Parameter b given Pressure, Temperature and Molar Volume of Real Gas evaluator uses Clausius Parameter b = Molar Volume-(([R]*Temperature of Real Gas)/(Pressure+(Clausius Parameter a/(Temperature of Real Gas*((Molar Volume+Clausius Parameter c)^2))))) to evaluate the Clausius Parameter b, The Clausius parameter b given Pressure, Temperature and Molar Volume of real gas 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 Pressure, Temperature and Molar Volume of Real Gas using this online evaluator? To use this online evaluator for Clausius Parameter b given Pressure, Temperature and Molar Volume of Real Gas, enter Molar Volume (V_m), Temperature of Real Gas (T_rg), Pressure (p), Clausius Parameter a (a) & Clausius Parameter c (c) and hit the calculate button.

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

What is the formula to find Clausius Parameter b given Pressure, Temperature and Molar Volume of Real Gas?

The formula of Clausius Parameter b given Pressure, Temperature and Molar Volume of Real Gas is expressed as Clausius Parameter b = Molar Volume-(([R]*Temperature of Real Gas)/(Pressure+(Clausius Parameter a/(Temperature of Real Gas*((Molar Volume+Clausius Parameter c)^2))))). Here is an example- 21.51659 = 22.4-(([R]*300)/(800+(0.1/(300*((22.4+0.0002)^2))))).

How to calculate Clausius Parameter b given Pressure, Temperature and Molar Volume of Real Gas?

With Molar Volume (V_m), Temperature of Real Gas (T_rg), Pressure (p), Clausius Parameter a (a) & Clausius Parameter c (c) we can find Clausius Parameter b given Pressure, Temperature and Molar Volume of Real Gas using the formula - Clausius Parameter b = Molar Volume-(([R]*Temperature of Real Gas)/(Pressure+(Clausius Parameter a/(Temperature of Real Gas*((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=(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)))))

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

​GoClausius Parameter b given Critical Parameters Formula

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

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

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

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

Other Formulas to find Clausius Parameter b

Other formulas in Clausius Parameter category

How to Evaluate Clausius Parameter b given Pressure, Temperature and Molar Volume of Real Gas?

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

Variable Name

GoClausius Parameter b given Critical Parameters Formula

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