Temperature of Gas using Equipartition Energy for Molecule Calculator

✖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 [K]			+10% -10%
✖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 using Equipartition Energy for Molecule [T_g]

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Temperature of Gas using Equipartition Energy for Molecule

Formula

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

Example

`"3.1E^24K"=2*"107J"/("5"*"[BoltZ]")`

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Temperature of Gas using Equipartition Energy for Molecule Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

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

Variables Used

Temperature of Gas - (Measured in Kelvin) - The temperature of Gas is the measure of hotness or coldness of a gas.
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.

STEP 1: Convert Input(s) to Base Unit

Equipartition Energy: 107 Joule --> 107 Joule No Conversion Required
Degree of Freedom: 5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_g = 2*K/(F*[BoltZ]) --> 2*107/(5*[BoltZ])

Evaluating ... ...

T_g = 3.09999245861648E+24

STEP 3: Convert Result to Output's Unit

3.09999245861648E+24 Kelvin --> No Conversion Required

FINAL ANSWER

3.09999245861648E+24 ≈ 3.1E+24 Kelvin <-- Temperature of Gas

(Calculation completed in 00.004 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]

Temperature of Gas using Equipartition Energy for Molecule Formula

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

What is degree of freedom?

Molecular degrees of freedom refers 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 Temperature of Gas using Equipartition Energy for Molecule?

Temperature of Gas using Equipartition Energy for Molecule calculator uses Temperature of Gas = 2*Equipartition Energy/(Degree of Freedom*[BoltZ]) to calculate the Temperature of Gas, The Temperature of Gas using Equipartition Energy for Molecule formula is a measure of the average translational kinetic energy of the molecules. Temperature of Gas is denoted by T_g symbol.

How to calculate Temperature of Gas using Equipartition Energy for Molecule using this online calculator? To use this online calculator for Temperature of Gas using Equipartition Energy for Molecule, enter Equipartition Energy (K) & Degree of Freedom (F) and hit the calculate button. Here is how the Temperature of Gas using Equipartition Energy for Molecule calculation can be explained with given input values -> 3.9E+24 = 2*107/(5*[BoltZ]).

FAQ

What is Temperature of Gas using Equipartition Energy for Molecule?

The Temperature of Gas using Equipartition Energy for Molecule formula is a measure of the average translational kinetic energy of the molecules and is represented as T_g = 2*K/(F*[BoltZ]) or Temperature of Gas = 2*Equipartition Energy/(Degree of Freedom*[BoltZ]). 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 is an independent physical parameter in the formal description of the state of a physical system.

How to calculate Temperature of Gas using Equipartition Energy for Molecule?

The Temperature of Gas using Equipartition Energy for Molecule formula is a measure of the average translational kinetic energy of the molecules is calculated using Temperature of Gas = 2*Equipartition Energy/(Degree of Freedom*[BoltZ]). To calculate Temperature of Gas using Equipartition Energy for Molecule, you need Equipartition Energy (K) & Degree of Freedom (F). With our tool, you need to enter the respective value for Equipartition Energy & Degree of Freedom 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 Temperature of Gas?

In this formula, Temperature of Gas uses Equipartition Energy & Degree of Freedom. We can use 4 other way(s) to calculate the same, which is/are as follows -

Temperature of Gas = (Average Speed of Gas^2)*pi*Molar Mass/(8*[R])
Temperature of Gas = Equipartition Energy*2/[BoltZ]
Temperature of Gas = Most Probable Speed^2*Molar Mass/(2*[R])
Temperature of Gas = Root Mean Square Velocity^2*Molar Mass/(3*[R])

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