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Critical Pressure given Clausius parameter a, Reduced and Actual Parameters Formula

GoCritical Pressure of Real Gas using Clausius Equation given Actual and Critical Parameters Formula

GoCritical Pressure of Real Gas using Clausius Equation given Reduced and Actual Parameters Formula

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Critical Pressure of Real Gas is the minimum pressure required to liquify a substance at the critical temperature. Check FAQs

P' c = \frac{27 \cdot ({[R]}^{2}) \cdot ({(\frac{T rg}{T r})}^{3})}{64 \cdot a}

P'_c - Critical Pressure of Real Gas?T_rg - Temperature of Real Gas?T_r - Reduced Temperature?a - Clausius Parameter a?[R] - Universal gas constant?

Critical Pressure given Clausius parameter a, Reduced and Actual Parameters Example

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Here is how the Critical Pressure given Clausius parameter a, Reduced and Actual Parameters equation looks like with Values.

Here is how the Critical Pressure given Clausius parameter a, Reduced and Actual Parameters equation looks like with Units.

Here is how the Critical Pressure given Clausius parameter a, Reduced and Actual Parameters equation looks like.

7.9E+6 = \frac{27 \cdot ({8.3145}^{2}) \cdot ({(\frac{300}{10})}^{3})}{64 \cdot 0.1}

7.9E+6Pa = \frac{27 \cdot ({8.3145}^{2}) \cdot ({(\frac{300K}{10})}^{3})}{64 \cdot 0.1}

7.9E+6 = \frac{27 \cdot ({8.3145}^{2}) \cdot ({(\frac{300}{10})}^{3})}{64 \cdot 0.1}

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Critical Pressure given Clausius parameter a, Reduced and Actual Parameters Solution

Follow our step by step solution on how to calculate Critical Pressure given Clausius parameter a, Reduced and Actual Parameters?

FIRST Step Consider the formula

P' c = \frac{27 \cdot ({[R]}^{2}) \cdot ({(\frac{T rg}{T r})}^{3})}{64 \cdot a}

Next Step Substitute values of Variables

∴

P' c = \frac{27 \cdot ({[R]}^{2}) \cdot ({(\frac{300K}{10})}^{3})}{64 \cdot 0.1}

Next Step Substitute values of Constants

∴

P' c = \frac{27 \cdot ({8.3145}^{2}) \cdot ({(\frac{300K}{10})}^{3})}{64 \cdot 0.1}

Next Step Prepare to Evaluate

∴

P' c = \frac{27 \cdot ({8.3145}^{2}) \cdot ({(\frac{300}{10})}^{3})}{64 \cdot 0.1}

Next Step Evaluate

∴

P' c = 7874371.93910917Pa

LAST Step Rounding Answer

∴

P' c = 7.9E+6Pa

Critical Pressure given Clausius parameter a, Reduced and Actual Parameters Formula Elements

Variables

Constants

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

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

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

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

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 Critical Pressure of Real Gas

Go Critical Pressure of Real Gas using Clausius Equation given Actual and Critical Parameters

P' c = \frac{(\frac{[R] \cdot T rg}{V m - b'}) - (\frac{a}{T rg \cdot ({(V m + c)}^{2})})}{p}

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

P' c = \frac{(\frac{[R] \cdot T rg}{V m - b'}) - (\frac{a}{T rg \cdot ({(V m + c)}^{2})})}{P r}

Go Critical Pressure of Real Gas using Clausius Equation given Reduced and Critical Parameters

P' c = \frac{(\frac{[R] \cdot (T r \cdot T' c)}{(V' m,r \cdot V m,c) - b'}) - (\frac{a}{(T r \cdot T' c) \cdot ({((V' m,r \cdot V m,c) + c)}^{2})})}{P r}

Go Critical Pressure of Real Gas given Clausius Parameter a

P' c = \frac{27 \cdot ({[R]}^{2}) \cdot ({T' c}^{3})}{64 \cdot a}

Other formulas in Critical Pressure category

Go Critical Pressure of Real Gas using Actual and Reduced Pressure

P CP = \frac{p}{P r}

How to Evaluate Critical Pressure given Clausius parameter a, Reduced and Actual Parameters?

Critical Pressure given Clausius parameter a, Reduced and Actual Parameters evaluator uses Critical Pressure of Real Gas = (27*([R]^2)*((Temperature of Real Gas/Reduced Temperature)^3))/(64*Clausius Parameter a) to evaluate the Critical Pressure of Real Gas, The Critical Pressure given Clausius parameter a, reduced and actual parameters formula is defined as the minimum pressure required to liquify a substance at the critical temperature. Critical Pressure of Real Gas is denoted by P'_c symbol.

How to evaluate Critical Pressure given Clausius parameter a, Reduced and Actual Parameters using this online evaluator? To use this online evaluator for Critical Pressure given Clausius parameter a, Reduced and Actual Parameters, enter Temperature of Real Gas (T_rg), Reduced Temperature (T_r) & Clausius Parameter a (a) and hit the calculate button.

FAQs on Critical Pressure given Clausius parameter a, Reduced and Actual Parameters

What is the formula to find Critical Pressure given Clausius parameter a, Reduced and Actual Parameters?

The formula of Critical Pressure given Clausius parameter a, Reduced and Actual Parameters is expressed as Critical Pressure of Real Gas = (27*([R]^2)*((Temperature of Real Gas/Reduced Temperature)^3))/(64*Clausius Parameter a). Here is an example- 179105.5 = (27*([R]^2)*((300/10)^3))/(64*0.1).

How to calculate Critical Pressure given Clausius parameter a, Reduced and Actual Parameters?

With Temperature of Real Gas (T_rg), Reduced Temperature (T_r) & Clausius Parameter a (a) we can find Critical Pressure given Clausius parameter a, Reduced and Actual Parameters using the formula - Critical Pressure of Real Gas = (27*([R]^2)*((Temperature of Real Gas/Reduced Temperature)^3))/(64*Clausius Parameter a). This formula also uses Universal gas constant .

What are the other ways to Calculate Critical Pressure of Real Gas?

Here are the different ways to Calculate Critical Pressure of Real Gas-

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

Can the Critical Pressure given Clausius parameter a, Reduced and Actual Parameters be negative?

No, the Critical Pressure given Clausius parameter a, Reduced and Actual Parameters, measured in Pressure cannot be negative.

Which unit is used to measure Critical Pressure given Clausius parameter a, Reduced and Actual Parameters?

Critical Pressure given Clausius parameter a, Reduced and Actual Parameters is usually measured using the Pascal[Pa] for Pressure. Kilopascal[Pa], Bar[Pa], Pound Per Square Inch[Pa] are the few other units in which Critical Pressure given Clausius parameter a, Reduced and Actual Parameters can be measured.

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