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Degree of Freedom given Equipartition Energy Formula

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The Degree of Freedom of a system is the number of parameters of the system that may vary independently. Check FAQs

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

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

Degree of Freedom given Equipartition Energy Example

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Here is how the Degree of Freedom given Equipartition Energy equation looks like with Values.

Here is how the Degree of Freedom given Equipartition Energy equation looks like with Units.

Here is how the Degree of Freedom given Equipartition Energy equation looks like.

1.7E+23 = 2 \cdot \frac{107}{1.4E-23 \cdot 90}

1.7E+23 = 2 \cdot \frac{107J}{1.4E-23J/K \cdot 90K}

1.7E+23 = 2 \cdot \frac{107}{1.4E-23 \cdot 90}

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Degree of Freedom given Equipartition Energy Solution

Follow our step by step solution on how to calculate Degree of Freedom given Equipartition Energy?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

F = 2 \cdot \frac{107J}{[BoltZ] \cdot 90K}

Next Step Substitute values of Constants

∴

F = 2 \cdot \frac{107J}{1.4E-23J/K \cdot 90K}

Next Step Prepare to Evaluate

∴

F = 2 \cdot \frac{107}{1.4E-23 \cdot 90}

Next Step Evaluate

∴

F = 1.72221803256471E+23

LAST Step Rounding Answer

∴

F = 1.7E+23

Degree of Freedom given Equipartition Energy Formula Elements

Variables

Constants

Degree of Freedom

The Degree of Freedom of a system is the number of parameters of the system that may vary independently.

Symbol: F

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Degree of Freedom

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 B

Temperature of Gas B is the measure of hotness or coldness of gas B.

Symbol: T_gb

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Temperature of Gas B

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 in Basic Formulas of Thermodynamics category

Go Absolute Humidity

AH = \frac{W}{V}

Go Average Speed of Gases

V avg = \sqrt{\frac{8 \cdot [R] \cdot T ga}{π \cdot M molar}}

Go Molar Mass of Gas given Average Speed of Gas

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

Go Molar Mass of Gas given Most Probable Speed of Gas

M molar = \frac{2 \cdot [R] \cdot T ga}{{V p}^{2}}

How to Evaluate Degree of Freedom given Equipartition Energy?

Degree of Freedom given Equipartition Energy evaluator uses Degree of Freedom = 2*Equipartition Energy/([BoltZ]*Temperature of Gas B) to evaluate the Degree of Freedom, Degree of Freedom given Equipartition Energy formula is defined as a relationship that quantifies the number of independent ways a system can store energy, reflecting the distribution of energy among its degrees of freedom in thermodynamic contexts. Degree of Freedom is denoted by F symbol.

How to evaluate Degree of Freedom given Equipartition Energy using this online evaluator? To use this online evaluator for Degree of Freedom given Equipartition Energy, enter Equipartition Energy (K) & Temperature of Gas B (T_gb) and hit the calculate button.

FAQs on Degree of Freedom given Equipartition Energy

What is the formula to find Degree of Freedom given Equipartition Energy?

The formula of Degree of Freedom given Equipartition Energy is expressed as Degree of Freedom = 2*Equipartition Energy/([BoltZ]*Temperature of Gas B). Here is an example- 1.7E+23 = 2*107/([BoltZ]*90).

How to calculate Degree of Freedom given Equipartition Energy?

With Equipartition Energy (K) & Temperature of Gas B (T_gb) we can find Degree of Freedom given Equipartition Energy using the formula - Degree of Freedom = 2*Equipartition Energy/([BoltZ]*Temperature of Gas B). This formula also uses Boltzmann constant .

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