Temperature given Molar Vibrational Energy of Non-Linear Molecule Calculator

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✖The Molar Vibrational Energy is the energy responsible for vibration motion of particles.ⓘ Molar Vibrational Energy [E_v]			+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 Molar Vibrational Energy of Non-Linear Molecule [T]

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Formula

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Temperature given Molar Vibrational Energy of Non-Linear Molecule

Formula

`"T" = "E"_{"v"}/(((3*"N")-6)*"[R]")`

Example

`"22.04993K"="550J/mol"/(((3*"3")-6)*"[R]")`

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Temperature given Molar Vibrational Energy of Non-Linear Molecule Solution

STEP 0: Pre-Calculation Summary

Formula Used

Temperature = Molar Vibrational Energy/(((3*Atomicity)-6)*[R])
T = E_v/(((3*N)-6)*[R])
This formula uses 1 Constants, 3 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

Temperature - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.
Molar Vibrational Energy - (Measured in Joule Per Mole) - The Molar Vibrational Energy is the energy responsible for vibration motion of particles.
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

Molar Vibrational Energy: 550 Joule Per Mole --> 550 Joule Per Mole No Conversion Required
Atomicity: 3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T = E_v/(((3*N)-6)*[R]) --> 550/(((3*3)-6)*[R])

Evaluating ... ...

T = 22.0499317578331

STEP 3: Convert Result to Output's Unit

22.0499317578331 Kelvin --> No Conversion Required

FINAL ANSWER

22.0499317578331 ≈ 22.04993 Kelvin <-- Temperature

(Calculation completed in 00.021 seconds)

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Home » Chemistry » Kinetic Theory of Gases » Equipartition Principle and Heat Capacity » Temperature » Temperature given Molar Vibrational Energy of Non-Linear Molecule

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Created by Prerana Bakli

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

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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 Molar Vibrational Energy of Non-Linear Molecule Formula

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

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 Molar Vibrational Energy of Non-Linear Molecule?

Temperature given Molar Vibrational Energy of Non-Linear Molecule calculator uses Temperature = Molar Vibrational Energy/(((3*Atomicity)-6)*[R]) to calculate the Temperature, The Temperature given Molar 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 Molar Vibrational Energy of Non-Linear Molecule using this online calculator? To use this online calculator for Temperature given Molar Vibrational Energy of Non-Linear Molecule, enter Molar Vibrational Energy (E_v) & Atomicity (N) and hit the calculate button. Here is how the Temperature given Molar Vibrational Energy of Non-Linear Molecule calculation can be explained with given input values -> 22.04993 = 550/(((3*3)-6)*[R]).

FAQ

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

The Temperature given Molar 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_v/(((3*N)-6)*[R]) or Temperature = Molar Vibrational Energy/(((3*Atomicity)-6)*[R]). The Molar Vibrational Energy is the energy responsible for vibration motion of particles & The Atomicity is defined as the total number of atoms present in a molecule or element.

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

The Temperature given Molar 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 = Molar Vibrational Energy/(((3*Atomicity)-6)*[R]). To calculate Temperature given Molar Vibrational Energy of Non-Linear Molecule, you need Molar Vibrational Energy (E_v) & Atomicity (N). With our tool, you need to enter the respective value for Molar 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 Molar Vibrational Energy & Atomicity. We can use 7 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])
Temperature = Internal Molar Energy/((6*Atomicity)-6)*(0.5*[R])
Temperature = Molar Vibrational Energy/(((3*Atomicity)-5)*[R])
Temperature = Vibrational Energy/(((3*Atomicity)-5)*[BoltZ])
Temperature = Vibrational Energy/(((3*Atomicity)-6)*[BoltZ])

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