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Equipartition 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{F \cdot [BoltZ] \cdot T g}{2}

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

Equipartition Energy for Molecule having n Degrees of Freedom Example

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Here is how the Equipartition Energy for Molecule having n Degrees of Freedom equation looks like with Values.

Here is how the Equipartition Energy for Molecule having n Degrees of Freedom equation looks like with Units.

Here is how the Equipartition Energy for Molecule having n Degrees of Freedom equation looks like.

1.6E-21 = \frac{5 \cdot 1.4E-23 \cdot 45}{2}

1.6E-21J = \frac{5 \cdot 1.4E-23J/K \cdot 45K}{2}

1.6E-21 = \frac{5 \cdot 1.4E-23 \cdot 45}{2}

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Equipartition Energy for Molecule having n Degrees of Freedom Solution

Follow our step by step solution on how to calculate Equipartition Energy for Molecule having n Degrees of Freedom?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

K = \frac{5 \cdot [BoltZ] \cdot 45K}{2}

Next Step Substitute values of Constants

∴

K = \frac{5 \cdot 1.4E-23J/K \cdot 45K}{2}

Next Step Prepare to Evaluate

∴

K = \frac{5 \cdot 1.4E-23 \cdot 45}{2}

Next Step Evaluate

∴

K = 1.553229585E-21J

LAST Step Rounding Answer

∴

K = 1.6E-21J

Equipartition Energy for Molecule having n Degrees of Freedom 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

Degree of Freedom

Degree of Freedom is an independent physical parameter in the formal description of the state of a physical system.

Symbol: F

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Degree of Freedom

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

K = \frac{[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 for Molecule having n Degrees of Freedom?

Equipartition Energy for Molecule having n Degrees of Freedom evaluator uses Equipartition Energy = (Degree of Freedom*[BoltZ]*Temperature of Gas)/2 to evaluate the Equipartition Energy, Equipartition energy for molecule having n degrees of freedom 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 for Molecule having n Degrees of Freedom using this online evaluator? To use this online evaluator for Equipartition Energy for Molecule having n Degrees of Freedom, enter Degree of Freedom (F) & Temperature of Gas (T_g) and hit the calculate button.

FAQs on Equipartition Energy for Molecule having n Degrees of Freedom

What is the formula to find Equipartition Energy for Molecule having n Degrees of Freedom?

The formula of Equipartition Energy for Molecule having n Degrees of Freedom is expressed as Equipartition Energy = (Degree of Freedom*[BoltZ]*Temperature of Gas)/2. Here is an example- 1.2E-21 = (5*[BoltZ]*45)/2.

How to calculate Equipartition Energy for Molecule having n Degrees of Freedom?

With Degree of Freedom (F) & Temperature of Gas (T_g) we can find Equipartition Energy for Molecule having n Degrees of Freedom using the formula - Equipartition Energy = (Degree of Freedom*[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=([BoltZ]*Temperature of Gas)/2

Can the Equipartition Energy for Molecule having n Degrees of Freedom be negative?

Yes, the Equipartition Energy for Molecule having n Degrees of Freedom, measured in Energy can be negative.

Which unit is used to measure Equipartition Energy for Molecule having n Degrees of Freedom?

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

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