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Critical Temperature given Clausius Parameter a, Reduced and Actual Parameters 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 (\frac{p}{P r})}{27 \cdot ({[R]}^{2})})}^{\frac{1}{3}}

T'_c - Critical Temperature For Clausius Model?a - Clausius Parameter a?p - Pressure?P_r - Reduced Pressure?[R] - Universal gas constant?

Critical Temperature given Clausius Parameter a, Reduced and Actual Parameters Example

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

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

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

1.5079 = {(\frac{0.1 \cdot 64 \cdot (\frac{800}{0.8})}{27 \cdot ({8.3145}^{2})})}^{\frac{1}{3}}

1.5079K = {(\frac{0.1 \cdot 64 \cdot (\frac{800Pa}{0.8})}{27 \cdot ({8.3145}^{2})})}^{\frac{1}{3}}

1.5079 = {(\frac{0.1 \cdot 64 \cdot (\frac{800}{0.8})}{27 \cdot ({8.3145}^{2})})}^{\frac{1}{3}}

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Critical Temperature given Clausius Parameter a, Reduced and Actual Parameters Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

T' c = {(\frac{0.1 \cdot 64 \cdot (\frac{800Pa}{0.8})}{27 \cdot ({[R]}^{2})})}^{\frac{1}{3}}

Next Step Substitute values of Constants

∴

T' c = {(\frac{0.1 \cdot 64 \cdot (\frac{800Pa}{0.8})}{27 \cdot ({8.3145}^{2})})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

T' c = {(\frac{0.1 \cdot 64 \cdot (\frac{800}{0.8})}{27 \cdot ({8.3145}^{2})})}^{\frac{1}{3}}

Next Step Evaluate

∴

T' c = 1.50793497115397K

LAST Step Rounding Answer

∴

T' c = 1.5079K

Critical Temperature given Clausius Parameter a, Reduced and Actual Parameters 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

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

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

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 a

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

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 given Clausius Parameter a, Reduced and Actual Parameters?

Critical Temperature given Clausius Parameter a, Reduced and Actual Parameters evaluator uses Critical Temperature For Clausius Model = ((Clausius Parameter a*64*(Pressure/Reduced Pressure))/(27*([R]^2)))^(1/3) to evaluate the Critical Temperature For Clausius Model, The Critical Temperature given Clausius parameter a, reduced and actual parameters 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 given Clausius Parameter a, Reduced and Actual Parameters using this online evaluator? To use this online evaluator for Critical Temperature given Clausius Parameter a, Reduced and Actual Parameters, enter Clausius Parameter a (a), Pressure (p) & Reduced Pressure (P_r) and hit the calculate button.

FAQs on Critical Temperature given Clausius Parameter a, Reduced and Actual Parameters

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

The formula of Critical Temperature given Clausius Parameter a, Reduced and Actual Parameters is expressed as Critical Temperature For Clausius Model = ((Clausius Parameter a*64*(Pressure/Reduced Pressure))/(27*([R]^2)))^(1/3). Here is an example- 1.507935 = ((0.1*64*(800/0.8))/(27*([R]^2)))^(1/3).

How to calculate Critical Temperature given Clausius Parameter a, Reduced and Actual Parameters?

With Clausius Parameter a (a), Pressure (p) & Reduced Pressure (P_r) we can find Critical Temperature given Clausius Parameter a, Reduced and Actual Parameters using the formula - Critical Temperature For Clausius Model = ((Clausius Parameter a*64*(Pressure/Reduced Pressure))/(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 given Clausius Parameter a, Reduced and Actual Parameters be negative?

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

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

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

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