Temperature given Average Thermal Energy of Linear Polyatomic Gas Molecule Calculator

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✖Thermal Energy is the input heat energy to a given system. This input heat energy is converted into useful work and a part of it is wasted in doing so.ⓘ Thermal Energy [Q_in]			+10% -10%
✖The Atomicity is defined as the total number of atoms present in a molecule or element.ⓘ Atomicity [N]			+10% -10%

✖Temperature is the degree or intensity of heat present in a substance or object.ⓘ Temperature given Average Thermal Energy of Linear Polyatomic Gas Molecule [T]

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Formula

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Temperature given Average Thermal Energy of Linear Polyatomic Gas Molecule

Formula

`"T" = "Q"_{"in"}/((6*"N")-5)*(0.5*"[BoltZ]")`

Example

`"3.4E^-22K"="640J"/((6*"3")-5)*(0.5*"[BoltZ]")`

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Temperature given Average Thermal Energy of Linear Polyatomic Gas Molecule Solution

STEP 0: Pre-Calculation Summary

Formula Used

Temperature = Thermal Energy/((6*Atomicity)-5)*(0.5*[BoltZ])
T = Q_in/((6*N)-5)*(0.5*[BoltZ])
This formula uses 1 Constants, 3 Variables

Constants Used

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

Variables Used

Temperature - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.
Thermal Energy - (Measured in Joule) - Thermal Energy is the input heat energy to a given system. This input heat energy is converted into useful work and a part of it is wasted in doing so.
Atomicity - The Atomicity is defined as the total number of atoms present in a molecule or element.

STEP 1: Convert Input(s) to Base Unit

Thermal Energy: 640 Joule --> 640 Joule No Conversion Required
Atomicity: 3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T = Q_in/((6*N)-5)*(0.5*[BoltZ]) --> 640/((6*3)-5)*(0.5*[BoltZ])

Evaluating ... ...

T = 3.39851943384615E-22

STEP 3: Convert Result to Output's Unit

3.39851943384615E-22 Kelvin --> No Conversion Required

FINAL ANSWER

3.39851943384615E-22 ≈ 3.4E-22 Kelvin <-- Temperature

(Calculation completed in 00.004 seconds)

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Home » Chemistry » Kinetic Theory of Gases » Equipartition Principle and Heat Capacity » Temperature » Temperature given Average Thermal Energy of Linear Polyatomic Gas Molecule

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Created by Prerana Bakli

University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA

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National Institute of Information Technology (NIIT), Neemrana

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< 8 Temperature Calculators

Temperature given Internal Molar Energy of Non-Linear Molecule

Go Temperature = Internal Molar Energy/((6*Atomicity)-6)*(0.5*[R])

Temperature given Internal Molar Energy of Linear Molecule

Go Temperature = Internal Molar Energy/((6*Atomicity)-5)*(0.5*[R])

Temperature given Molar Vibrational Energy of Non-Linear Molecule

Go Temperature = Molar Vibrational Energy/(((3*Atomicity)-6)*[R])

Temperature given Molar Vibrational Energy of Linear Molecule

Go Temperature = Molar Vibrational Energy/(((3*Atomicity)-5)*[R])

Temperature given Average Thermal Energy of Non-Linear Polyatomic Gas Molecule

Go Temperature = Thermal Energy/((6*Atomicity)-6)*(0.5*[BoltZ])

Temperature given Average Thermal Energy of Linear Polyatomic Gas Molecule

Go Temperature = Thermal Energy/((6*Atomicity)-5)*(0.5*[BoltZ])

Temperature given Vibrational Energy of Non-Linear Molecule

Go Temperature = Vibrational Energy/(((3*Atomicity)-6)*[BoltZ])

Temperature given Vibrational Energy of Linear Molecule

Go Temperature = Vibrational Energy/(((3*Atomicity)-5)*[BoltZ])

Temperature given Average Thermal Energy of Linear Polyatomic Gas Molecule Formula

Temperature = Thermal Energy/((6*Atomicity)-5)*(0.5*[BoltZ])
T = Q_in/((6*N)-5)*(0.5*[BoltZ])

What is the statement of Equipartition Theorem?

The original concept of equipartition was that the total kinetic energy of a system is shared equally among all of its independent parts, on the average, once the system has reached thermal equilibrium. Equipartition also makes quantitative predictions for these energies. The key point is that the kinetic energy is quadratic in the velocity. The equipartition theorem shows that in thermal equilibrium, any degree of freedom (such as a component of the position or velocity of a particle) which appears only quadratically in the energy has an average energy of 1⁄2kBT and therefore contributes 1⁄2kB to the system's heat capacity.

How to Calculate Temperature given Average Thermal Energy of Linear Polyatomic Gas Molecule?

Temperature given Average Thermal Energy of Linear Polyatomic Gas Molecule calculator uses Temperature = Thermal Energy/((6*Atomicity)-5)*(0.5*[BoltZ]) to calculate the Temperature, The Temperature given Average thermal energy of linear polyatomic gas molecule is the degree or intensity of heat present in a substance or object, especially as expressed according to a comparative scale. Temperature is denoted by T symbol.

How to calculate Temperature given Average Thermal Energy of Linear Polyatomic Gas Molecule using this online calculator? To use this online calculator for Temperature given Average Thermal Energy of Linear Polyatomic Gas Molecule, enter Thermal Energy (Q_in) & Atomicity (N) and hit the calculate button. Here is how the Temperature given Average Thermal Energy of Linear Polyatomic Gas Molecule calculation can be explained with given input values -> 3.4E-22 = 640/((6*3)-5)*(0.5*[BoltZ]).

FAQ

What is Temperature given Average Thermal Energy of Linear Polyatomic Gas Molecule?

The Temperature given Average thermal energy of linear polyatomic gas molecule is the degree or intensity of heat present in a substance or object, especially as expressed according to a comparative scale and is represented as T = Q_in/((6*N)-5)*(0.5*[BoltZ]) or Temperature = Thermal Energy/((6*Atomicity)-5)*(0.5*[BoltZ]). Thermal Energy is the input heat energy to a given system. This input heat energy is converted into useful work and a part of it is wasted in doing so & The Atomicity is defined as the total number of atoms present in a molecule or element.

How to calculate Temperature given Average Thermal Energy of Linear Polyatomic Gas Molecule?

The Temperature given Average thermal energy of linear polyatomic gas molecule is the degree or intensity of heat present in a substance or object, especially as expressed according to a comparative scale is calculated using Temperature = Thermal Energy/((6*Atomicity)-5)*(0.5*[BoltZ]). To calculate Temperature given Average Thermal Energy of Linear Polyatomic Gas Molecule, you need Thermal Energy (Q_in) & Atomicity (N). With our tool, you need to enter the respective value for Thermal Energy & Atomicity 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?

In this formula, Temperature uses Thermal Energy & Atomicity. We can use 7 other way(s) to calculate the same, which is/are as follows -

Temperature = Internal Molar Energy/((6*Atomicity)-5)*(0.5*[R])
Temperature = Thermal Energy/((6*Atomicity)-6)*(0.5*[BoltZ])
Temperature = Internal Molar Energy/((6*Atomicity)-6)*(0.5*[R])
Temperature = Molar Vibrational Energy/(((3*Atomicity)-5)*[R])
Temperature = Molar Vibrational Energy/(((3*Atomicity)-6)*[R])
Temperature = Vibrational Energy/(((3*Atomicity)-5)*[BoltZ])
Temperature = Vibrational Energy/(((3*Atomicity)-6)*[BoltZ])

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