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Critical Temperature of Real Gas given Clausius Parameter a Formula

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

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

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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. Check FAQs

T' c = {(\frac{a \cdot 64 \cdot P' c}{27 \cdot ({[R]}^{2})})}^{\frac{1}{3}}

T'_c - Critical Temperature For Clausius Model?a - Clausius Parameter a?P'_c - Critical Pressure of Real Gas?[R] - Universal gas constant?

Critical Temperature of Real Gas given Clausius Parameter a Example

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Here is how the Critical Temperature of Real Gas given Clausius Parameter a equation looks like with Values.

Here is how the Critical Temperature of Real Gas given Clausius Parameter a equation looks like with Units.

Here is how the Critical Temperature of Real Gas given Clausius Parameter a equation looks like.

25.0785 = {(\frac{0.1 \cdot 64 \cdot 4.6E+6}{27 \cdot ({8.3145}^{2})})}^{\frac{1}{3}}

25.0785K = {(\frac{0.1 \cdot 64 \cdot 4.6E+6Pa}{27 \cdot ({8.3145}^{2})})}^{\frac{1}{3}}

25.0785 = {(\frac{0.1 \cdot 64 \cdot 4.6E+6}{27 \cdot ({8.3145}^{2})})}^{\frac{1}{3}}

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Critical Temperature of Real Gas given Clausius Parameter a Solution

Follow our step by step solution on how to calculate Critical Temperature of Real Gas given Clausius Parameter a?

FIRST Step Consider the formula

T' c = {(\frac{a \cdot 64 \cdot P' c}{27 \cdot ({[R]}^{2})})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

T' c = {(\frac{0.1 \cdot 64 \cdot 4.6E+6Pa}{27 \cdot ({[R]}^{2})})}^{\frac{1}{3}}

Next Step Substitute values of Constants

∴

T' c = {(\frac{0.1 \cdot 64 \cdot 4.6E+6Pa}{27 \cdot ({8.3145}^{2})})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

T' c = {(\frac{0.1 \cdot 64 \cdot 4.6E+6}{27 \cdot ({8.3145}^{2})})}^{\frac{1}{3}}

Next Step Evaluate

∴

T' c = 25.0785192655052K

LAST Step Rounding Answer

∴

T' c = 25.0785K

Critical Temperature of Real Gas given Clausius Parameter a Formula Elements

Variables

Constants

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

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 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

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 Temperature For Clausius Model

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

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

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

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

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

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

Go Critical Temperature of Real Gas given Clausius Parameter b

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

Other formulas in Critical Temperature category

Go Critical Temperature given Clausius Parameter c, Reduced and Actual Parameters

T c_RP = \frac{(c + (\frac{V real}{V r})) \cdot 8 \cdot (\frac{p}{P r})}{3 \cdot [R]}

How to Evaluate Critical Temperature of Real Gas given Clausius Parameter a?

Critical Temperature of Real Gas given Clausius Parameter a evaluator uses Critical Temperature For Clausius Model = ((Clausius Parameter a*64*Critical Pressure of Real Gas)/(27*([R]^2)))^(1/3) to evaluate the Critical Temperature For Clausius Model, The Critical Temperature of real gas given Clausius parameter a formula is defined as the highest temperature at which the substance can exist as a liquid. Critical Temperature For Clausius Model is denoted by T'_c symbol.

How to evaluate Critical Temperature of Real Gas given Clausius Parameter a using this online evaluator? To use this online evaluator for Critical Temperature of Real Gas given Clausius Parameter a, enter Clausius Parameter a (a) & Critical Pressure of Real Gas (P'_c) and hit the calculate button.

FAQs on Critical Temperature of Real Gas given Clausius Parameter a

What is the formula to find Critical Temperature of Real Gas given Clausius Parameter a?

The formula of Critical Temperature of Real Gas given Clausius Parameter a is expressed as Critical Temperature For Clausius Model = ((Clausius Parameter a*64*Critical Pressure of Real Gas)/(27*([R]^2)))^(1/3). Here is an example- 25.07852 = ((0.1*64*4600000)/(27*([R]^2)))^(1/3).

How to calculate Critical Temperature of Real Gas given Clausius Parameter a?

With Clausius Parameter a (a) & Critical Pressure of Real Gas (P'_c) we can find Critical Temperature of Real Gas given Clausius Parameter a using the formula - Critical Temperature For Clausius Model = ((Clausius Parameter a*64*Critical Pressure of Real Gas)/(27*([R]^2)))^(1/3). This formula also uses Universal gas constant .

What are the other ways to Calculate Critical Temperature For Clausius Model?

Here are the different ways to Calculate Critical Temperature For Clausius Model-

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

Can the Critical Temperature of Real Gas given Clausius Parameter a be negative?

No, the Critical Temperature of Real Gas given Clausius Parameter a, measured in Temperature cannot be negative.

Which unit is used to measure Critical Temperature of Real Gas given Clausius Parameter a?

Critical Temperature of Real Gas given Clausius Parameter a is usually measured using the Kelvin[K] for Temperature. Celsius[K], Fahrenheit[K], Rankine[K] are the few other units in which Critical Temperature of Real Gas given Clausius Parameter a can be measured.

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