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Equipartition Energy Formula

GoEquipartition Energy for Molecule having n Degrees of Freedom Formula

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Equipartition energy theorem is related to the temperature of the system and its average kinetic and potential energy. This theorem is also called the law of equipartition of energy. Check FAQs

K = \frac{[BoltZ] \cdot T g}{2}

K - Equipartition Energy?T_g - Temperature of Gas?[BoltZ] - Boltzmann constant?

Equipartition Energy Example

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Here is how the Equipartition Energy equation looks like with Values.

Here is how the Equipartition Energy equation looks like with Units.

Here is how the Equipartition Energy equation looks like.

3.1E-22 = \frac{1.4E-23 \cdot 45}{2}

3.1E-22J = \frac{1.4E-23J/K \cdot 45K}{2}

3.1E-22 = \frac{1.4E-23 \cdot 45}{2}

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Equipartition Energy Solution

Follow our step by step solution on how to calculate Equipartition Energy?

FIRST Step Consider the formula

K = \frac{[BoltZ] \cdot T g}{2}

Next Step Substitute values of Variables

∴

K = \frac{[BoltZ] \cdot 45K}{2}

Next Step Substitute values of Constants

∴

K = \frac{1.4E-23J/K \cdot 45K}{2}

Next Step Prepare to Evaluate

∴

K = \frac{1.4E-23 \cdot 45}{2}

Next Step Evaluate

∴

K = 3.10645917E-22J

LAST Step Rounding Answer

∴

K = 3.1E-22J

Equipartition Energy Formula Elements

Variables

Constants

Equipartition Energy

Equipartition energy theorem is related to the temperature of the system and its average kinetic and potential energy. This theorem is also called the law of equipartition of energy.

Symbol: K

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Equipartition Energy

Temperature of Gas

The temperature of Gas is the measure of hotness or coldness of a gas.

Symbol: T_g

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Temperature of Gas

Boltzmann constant

Boltzmann constant relates the average kinetic energy of particles in a gas with the temperature of the gas and is a fundamental constant in statistical mechanics and thermodynamics.

Symbol: [BoltZ]

Value: 1.38064852E-23 J/K

Other Formulas to find Equipartition Energy

Go Equipartition Energy for Molecule having n Degrees of Freedom

K = \frac{F \cdot [BoltZ] \cdot T g}{2}

Other formulas in Temperature category

Go Absolute Temperature

T abs = \frac{Q l}{Q h}

Go Reduced Temperature

T r = \frac{T}{T c}

Go Temperature after given Time

T = T s + (T s - T i) \cdot e^{- k' \cdot time}

Go Temperature of Gas given Average Speed of Gas

T g = ({V avg}^{2}) \cdot π \cdot \frac{M molar}{8 \cdot [R]}

How to Evaluate Equipartition Energy?

Equipartition Energy evaluator uses Equipartition Energy = ([BoltZ]*Temperature of Gas)/2 to evaluate the Equipartition Energy, The Equipartition energy theorem is related to the temperature of the system and its average kinetic and potential energy. This theorem is also called the law of equipartition of energy or just equipartition. Equipartition Energy is denoted by K symbol.

How to evaluate Equipartition Energy using this online evaluator? To use this online evaluator for Equipartition Energy, enter Temperature of Gas (T_g) and hit the calculate button.

FAQs on Equipartition Energy

What is the formula to find Equipartition Energy?

The formula of Equipartition Energy is expressed as Equipartition Energy = ([BoltZ]*Temperature of Gas)/2. Here is an example- 3.1E-22 = ([BoltZ]*45)/2.

How to calculate Equipartition Energy?

With Temperature of Gas (T_g) we can find Equipartition Energy using the formula - Equipartition Energy = ([BoltZ]*Temperature of Gas)/2. This formula also uses Boltzmann constant .

What are the other ways to Calculate Equipartition Energy?

Here are the different ways to Calculate Equipartition Energy-

Equipartition Energy=(Degree of Freedom*[BoltZ]*Temperature of Gas)/2

Can the Equipartition Energy be negative?

Yes, the Equipartition Energy, measured in Energy can be negative.

Which unit is used to measure Equipartition Energy?

Equipartition Energy is usually measured using the Joule[J] for Energy. Kilojoule[J], Gigajoule[J], Megajoule[J] are the few other units in which Equipartition Energy can be measured.

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