Equipartition Energy for Molecule having n Degrees of Freedom Calculator

✖Degree of Freedom is an independent physical parameter in the formal description of the state of a physical system.ⓘ Degree of Freedom [F]			+10% -10%
✖The temperature of Gas is the measure of hotness or coldness of a gas.ⓘ Temperature of Gas [T_g]			+10% -10%

✖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.ⓘ Equipartition Energy for Molecule having n Degrees of Freedom [K]

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Equipartition Energy for Molecule having n Degrees of Freedom

Formula

`"K" = ("F"*"[BoltZ]"*"T"_{"g"})/2`

Example

`"1.6E^-21J"=("5"*"[BoltZ]"*"45K")/2`

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Equipartition Energy for Molecule having n Degrees of Freedom Solution

STEP 0: Pre-Calculation Summary

Formula Used

Equipartition Energy = (Degree of Freedom*[BoltZ]*Temperature of Gas)/2
K = (F*[BoltZ]*T_g)/2
This formula uses 1 Constants, 3 Variables

Constants Used

[BoltZ] - Boltzmann constant Value Taken As 1.38064852E-23

Variables Used

Equipartition Energy - (Measured in Joule) - 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.
Degree of Freedom - Degree of Freedom is an independent physical parameter in the formal description of the state of a physical system.
Temperature of Gas - (Measured in Kelvin) - The temperature of Gas is the measure of hotness or coldness of a gas.

STEP 1: Convert Input(s) to Base Unit

Degree of Freedom: 5 --> No Conversion Required
Temperature of Gas: 45 Kelvin --> 45 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K = (F*[BoltZ]*T_g)/2 --> (5*[BoltZ]*45)/2

Evaluating ... ...

K = 1.553229585E-21

STEP 3: Convert Result to Output's Unit

1.553229585E-21 Joule --> No Conversion Required

FINAL ANSWER

1.553229585E-21 ≈ 1.6E-21 Joule <-- Equipartition Energy

(Calculation completed in 00.020 seconds)

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Osmania University (OU), Hyderabad

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< 11 Temperature Calculators

Temperature after given Time

Go Temperature = Surrounding Temperature+(Surrounding Temperature-Initial Temperature)*e^(-Temperature constant*Time)

Bypass Factor

Go By Pass Factor = (Intermediate Temperature-Final Temperature)/(Intermediate Temperature-Initial Temperature)

Temperature of Gas given Average Speed of Gas

Go Temperature of Gas = (Average Speed of Gas^2)*pi*Molar Mass/(8*[R])

Equipartition Energy for Molecule having n Degrees of Freedom

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

Temperature of Gas using Equipartition Energy for Molecule

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

Temperature of Gas given RMS Velocity of Gas

Go Temperature of Gas = Root Mean Square Velocity^2*Molar Mass/(3*[R])

Absolute Temperature

Go Absolute Temperature = Heat from Low Temperature Reservoir/Heat from High Temperature Reservoir

Temperature of Gas given Most Probable Speed of Gas

Go Temperature of Gas = Most Probable Speed^2*Molar Mass/(2*[R])

Equipartition Energy

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

Reduced Temperature

Go Reduced Temperature = Temperature/Critical Temperature

Temperature of Gas given Equipartition energy

Go Temperature of Gas = Equipartition Energy*2/[BoltZ]

Equipartition Energy for Molecule having n Degrees of Freedom Formula

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

What is degree of freedom?

Molecular degrees of freedom refer to the number of ways a molecule in the gas phase may move, rotate, or vibrate in space. Three types of degrees of freedom exist, those being translational, rotational, and vibrational.

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

Equipartition Energy for Molecule having n Degrees of Freedom calculator uses Equipartition Energy = (Degree of Freedom*[BoltZ]*Temperature of Gas)/2 to calculate 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 calculate Equipartition Energy for Molecule having n Degrees of Freedom using this online calculator? To use this online calculator 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. Here is how the Equipartition Energy for Molecule having n Degrees of Freedom calculation can be explained with given input values -> 1.2E-21 = (5*[BoltZ]*45)/2.

FAQ

What is Equipartition Energy for Molecule having n Degrees of Freedom?

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 and is represented as K = (F*[BoltZ]*T_g)/2 or Equipartition Energy = (Degree of Freedom*[BoltZ]*Temperature of Gas)/2. Degree of Freedom is an independent physical parameter in the formal description of the state of a physical system & The temperature of Gas is the measure of hotness or coldness of a gas.

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

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 is calculated using Equipartition Energy = (Degree of Freedom*[BoltZ]*Temperature of Gas)/2. To calculate Equipartition Energy for Molecule having n Degrees of Freedom, you need Degree of Freedom (F) & Temperature of Gas (T_g). With our tool, you need to enter the respective value for Degree of Freedom & Temperature of Gas and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Equipartition Energy?

In this formula, Equipartition Energy uses Degree of Freedom & Temperature of Gas. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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