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Temperature of Real Gas using Clausius Equation Formula

GoTemperature of Real Gas using Clausius Equation given Reduced and Critical Parameters Formula

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Temperature given CE is the degree or intensity of heat present in a substance or object. Check FAQs

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

T_CE - Temperature given CE?p - Pressure?a - Clausius Parameter a?V_m - Molar Volume?c - Clausius Parameter c?b' - Clausius Parameter b for Real Gas?[R] - Universal gas constant?

Temperature of Real Gas using Clausius Equation Example

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Here is how the Temperature of Real Gas using Clausius Equation equation looks like with Values.

Here is how the Temperature of Real Gas using Clausius Equation equation looks like with Units.

Here is how the Temperature of Real Gas using Clausius Equation equation looks like.

2155.0473 = (800 + (\frac{0.1}{({(22.4 + 0.0002)}^{2})})) \cdot (\frac{22.4 - 0.0024}{8.3145})

2155.0473K = (800Pa + (\frac{0.1}{({(22.4m³/mol + 0.0002)}^{2})})) \cdot (\frac{22.4m³/mol - 0.0024}{8.3145})

2155.0473 = (800 + (\frac{0.1}{({(22.4 + 0.0002)}^{2})})) \cdot (\frac{22.4 - 0.0024}{8.3145})

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Temperature of Real Gas using Clausius Equation Solution

Follow our step by step solution on how to calculate Temperature of Real Gas using Clausius Equation?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

T CE = (800Pa + (\frac{0.1}{({(22.4m³/mol + 0.0002)}^{2})})) \cdot (\frac{22.4m³/mol - 0.0024}{[R]})

Next Step Substitute values of Constants

∴

T CE = (800Pa + (\frac{0.1}{({(22.4m³/mol + 0.0002)}^{2})})) \cdot (\frac{22.4m³/mol - 0.0024}{8.3145})

Next Step Prepare to Evaluate

∴

T CE = (800 + (\frac{0.1}{({(22.4 + 0.0002)}^{2})})) \cdot (\frac{22.4 - 0.0024}{8.3145})

Next Step Evaluate

∴

T CE = 2155.04732976977K

LAST Step Rounding Answer

∴

T CE = 2155.0473K

Temperature of Real Gas using Clausius Equation Formula Elements

Variables

Constants

Temperature given CE

Temperature given CE is the degree or intensity of heat present in a substance or object.

Symbol: T_CE

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Temperature given CE

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

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

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

Clausius Parameter b for Real Gas

Clausius Parameter b for Real Gas 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 for 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 Temperature given CE

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

T CE = ((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]})

Other formulas in Pressure and Temperature of Real Gas category

Go Actual Pressure of Real Gas given Clausius Parameter a, Reduced and Critical Parameters

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

Go Actual Pressure of Real Gas given Clausius Parameter b, Reduced and Actual Parameters

Pb = (\frac{[R] \cdot (\frac{T rg}{T r})}{4 \cdot ((\frac{V real}{V r}) - b')}) \cdot P r

Go Actual Pressure of Real Gas given Clausius Parameter c, Reduced and Actual Parameters

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

Go Actual Temperature of Real Gas given Clausius Parameter a, Reduced and Actual Parameters

T RP = ({(\frac{a \cdot 64 \cdot (\frac{p}{P r})}{27 \cdot ({[R]}^{2})})}^{\frac{1}{3}}) \cdot T r

How to Evaluate Temperature of Real Gas using Clausius Equation?

Temperature of Real Gas using Clausius Equation evaluator uses Temperature given CE = (Pressure+(Clausius Parameter a/(((Molar Volume+Clausius Parameter c)^2))))*((Molar Volume-Clausius Parameter b for Real Gas)/[R]) to evaluate the Temperature given CE, The Temperature of real gas using Clausius equation formula is defined as the degree or intensity of heat present in a substance or object. Temperature given CE is denoted by T_CE symbol.

How to evaluate Temperature of Real Gas using Clausius Equation using this online evaluator? To use this online evaluator for Temperature of Real Gas using Clausius Equation, enter Pressure (p), Clausius Parameter a (a), Molar Volume (V_m), Clausius Parameter c (c) & Clausius Parameter b for Real Gas (b') and hit the calculate button.

FAQs on Temperature of Real Gas using Clausius Equation

What is the formula to find Temperature of Real Gas using Clausius Equation?

The formula of Temperature of Real Gas using Clausius Equation is expressed as Temperature given CE = (Pressure+(Clausius Parameter a/(((Molar Volume+Clausius Parameter c)^2))))*((Molar Volume-Clausius Parameter b for Real Gas)/[R]). Here is an example- 2140.848 = (800+(0.1/(((22.4+0.0002)^2))))*((22.4-0.00243)/[R]).

How to calculate Temperature of Real Gas using Clausius Equation?

With Pressure (p), Clausius Parameter a (a), Molar Volume (V_m), Clausius Parameter c (c) & Clausius Parameter b for Real Gas (b') we can find Temperature of Real Gas using Clausius Equation using the formula - Temperature given CE = (Pressure+(Clausius Parameter a/(((Molar Volume+Clausius Parameter c)^2))))*((Molar Volume-Clausius Parameter b for Real Gas)/[R]). This formula also uses Universal gas constant .

What are the other ways to Calculate Temperature given CE?

Here are the different ways to Calculate Temperature given CE-

Temperature given CE=((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])

Can the Temperature of Real Gas using Clausius Equation be negative?

Yes, the Temperature of Real Gas using Clausius Equation, measured in Temperature can be negative.

Which unit is used to measure Temperature of Real Gas using Clausius Equation?

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

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Temperature of Real Gas using Clausius Equation Formula

​GoTemperature of Real Gas using Clausius Equation given Reduced and Critical Parameters Formula

Temperature of Real Gas using Clausius Equation Example

Temperature of Real Gas using Clausius Equation Solution

Temperature of Real Gas using Clausius Equation Formula Elements

Other Formulas to find Temperature given CE

Other formulas in Pressure and Temperature of Real Gas category

How to Evaluate Temperature of Real Gas using Clausius Equation?

FAQs on Temperature of Real Gas using Clausius Equation

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GoTemperature of Real Gas using Clausius Equation given Reduced and Critical Parameters Formula