Temperature given Vibrational Energy of Non-Linear Molecule Calculator

✖Vibrational Energy is the total energy of the respective rotation-vibration levels of a diatomic molecule.ⓘ Vibrational Energy [E_vf]			+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 Vibrational Energy of Non-Linear Molecule [T]

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Temperature given Vibrational Energy of Non-Linear Molecule Solution

STEP 0: Pre-Calculation Summary

Formula Used

Temperature = Vibrational Energy/(((3*Atomicity)-6)*[BoltZ])
T = E_vf/(((3*N)-6)*[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.
Vibrational Energy - (Measured in Joule) - Vibrational Energy is the total energy of the respective rotation-vibration levels of a diatomic molecule.
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

Vibrational Energy: 100 Joule --> 100 Joule No Conversion Required
Atomicity: 3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T = E_vf/(((3*N)-6)*[BoltZ]) --> 100/(((3*3)-6)*[BoltZ])

Evaluating ... ...

T = 2.41432434471688E+24

STEP 3: Convert Result to Output's Unit

2.41432434471688E+24 Kelvin --> No Conversion Required

FINAL ANSWER

2.41432434471688E+24 ≈ 2.4E+24 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 Vibrational Energy of Non-Linear Molecule

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

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

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

Temperature given Average Thermal Energy of Linear Polyatomic Gas Molecule

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

Temperature given Vibrational Energy of Non-Linear Molecule Formula

LaTeX Go

Temperature = Vibrational Energy/(((3*Atomicity)-6)*[BoltZ])
T = E_vf/(((3*N)-6)*[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 Vibrational Energy of Non-Linear Molecule?

Temperature given Vibrational Energy of Non-Linear Molecule calculator uses Temperature = Vibrational Energy/(((3*Atomicity)-6)*[BoltZ]) to calculate the Temperature, The Temperature given Vibrational Energy of Non-Linear 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 Vibrational Energy of Non-Linear Molecule using this online calculator? To use this online calculator for Temperature given Vibrational Energy of Non-Linear Molecule, enter Vibrational Energy (E_vf) & Atomicity (N) and hit the calculate button. Here is how the Temperature given Vibrational Energy of Non-Linear Molecule calculation can be explained with given input values -> 2.4E+24 = 100/(((3*3)-6)*[BoltZ]).

FAQ

What is Temperature given Vibrational Energy of Non-Linear Molecule?

The Temperature given Vibrational Energy of Non-Linear 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 = E_vf/(((3*N)-6)*[BoltZ]) or Temperature = Vibrational Energy/(((3*Atomicity)-6)*[BoltZ]). Vibrational Energy is the total energy of the respective rotation-vibration levels of a diatomic molecule & The Atomicity is defined as the total number of atoms present in a molecule or element.

How to calculate Temperature given Vibrational Energy of Non-Linear Molecule?

The Temperature given Vibrational Energy of Non-Linear 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 = Vibrational Energy/(((3*Atomicity)-6)*[BoltZ]). To calculate Temperature given Vibrational Energy of Non-Linear Molecule, you need Vibrational Energy (E_vf) & Atomicity (N). With our tool, you need to enter the respective value for Vibrational 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 Vibrational Energy & Atomicity. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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