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Clausius Parameter given Critical Parameters Formula

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

GoClausius Parameter given Reduced and Actual Parameters Formula

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

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

a - Clausius Parameter a?T_c - Critical Temperature?P_c - Critical Pressure?[R] - Universal gas constant?

Clausius Parameter given Critical Parameters Example

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Here is how the Clausius Parameter given Critical Parameters equation looks like with Values.

Here is how the Clausius Parameter given Critical Parameters equation looks like with Units.

Here is how the Clausius Parameter given Critical Parameters equation looks like.

3.6E+7 = \frac{27 \cdot ({8.3145}^{2}) \cdot (647^{3})}{64 \cdot 218}

3.6E+7 = \frac{27 \cdot ({8.3145}^{2}) \cdot ({647K}^{3})}{64 \cdot 218Pa}

3.6E+7 = \frac{27 \cdot ({8.3145}^{2}) \cdot (647^{3})}{64 \cdot 218}

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Clausius Parameter given Critical Parameters Solution

Follow our step by step solution on how to calculate Clausius Parameter given Critical Parameters?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

a = \frac{27 \cdot ({[R]}^{2}) \cdot ({647K}^{3})}{64 \cdot 218Pa}

Next Step Substitute values of Constants

∴

a = \frac{27 \cdot ({8.3145}^{2}) \cdot ({647K}^{3})}{64 \cdot 218Pa}

Next Step Prepare to Evaluate

∴

a = \frac{27 \cdot ({8.3145}^{2}) \cdot (647^{3})}{64 \cdot 218}

Next Step Evaluate

∴

a = 36233351.6326688

LAST Step Rounding Answer

∴

a = 3.6E+7

Clausius Parameter given Critical Parameters Formula Elements

Variables

Constants

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

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

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

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 a

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}))

Other formulas in Clausius Parameter category

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})})})

Go Clausius Parameter b given Reduced and Actual Parameters

b RP = (\frac{V real}{V r}) - (\frac{[R] \cdot (\frac{T rg}{T r})}{4 \cdot (\frac{p}{P r})})

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})})})

How to Evaluate Clausius Parameter given Critical Parameters?

Clausius Parameter given Critical Parameters evaluator uses Clausius Parameter a = (27*([R]^2)*(Critical Temperature^3))/(64*Critical Pressure) to evaluate the Clausius Parameter a, Clausius parameter given critical parameters formula is defined as empirical parameter characteristic to equation obtained from Clausius model of real gas. Clausius Parameter a is denoted by a symbol.

How to evaluate Clausius Parameter given Critical Parameters using this online evaluator? To use this online evaluator for Clausius Parameter given Critical Parameters, enter Critical Temperature (T_c) & Critical Pressure (P_c) and hit the calculate button.

FAQs on Clausius Parameter given Critical Parameters

What is the formula to find Clausius Parameter given Critical Parameters?

The formula of Clausius Parameter given Critical Parameters is expressed as Clausius Parameter a = (27*([R]^2)*(Critical Temperature^3))/(64*Critical Pressure). Here is an example- 3.6E+7 = (27*([R]^2)*(647^3))/(64*218).

How to calculate Clausius Parameter given Critical Parameters?

With Critical Temperature (T_c) & Critical Pressure (P_c) we can find Clausius Parameter given Critical Parameters using the formula - Clausius Parameter a = (27*([R]^2)*(Critical Temperature^3))/(64*Critical Pressure). This formula also uses Universal gas constant .

What are the other ways to Calculate Clausius Parameter a?

Here are the different ways to Calculate Clausius Parameter a-

Clausius Parameter a=((([R]*Temperature of Real Gas)/(Molar Volume-Clausius Parameter b))-Pressure)*(Temperature of Real Gas*((Molar Volume+Clausius Parameter c)^2))
Clausius Parameter a=(27*([R]^2)*((Temperature of Real Gas/Reduced Temperature)^3))/(64*(Pressure/Reduced Pressure))
Clausius Parameter a=((([R]*(Reduced Molar Volume*Critical Temperature))/((Reduced Molar Volume*Critical Molar Volume)-Clausius Parameter b))-(Reduced Pressure*Critical Pressure))*((Reduced Temperature*Critical Temperature)*(((Reduced Molar Volume*Critical Molar Volume)+Clausius Parameter c)^2))

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