Molar Vibrational Energy of Non-Linear Molecule Calculator

✖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 [T]			+10% -10%

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

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Formula

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Molar Vibrational Energy of Non-Linear Molecule

Formula

E viv = ((3 \cdot N) - 6) \cdot ([R] \cdot T)

Example

2120.188 J/mol = ((3 \cdot 3) - 6) \cdot ([R] \cdot 85 K)

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Molar Vibrational Energy of Non-Linear Molecule Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

Vibrational Molar Energy - (Measured in Joule Per Mole) - Vibrational Molar 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.
Temperature - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.

STEP 1: Convert Input(s) to Base Unit

Atomicity: 3 --> No Conversion Required
Temperature: 85 Kelvin --> 85 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E_viv = ((3*N)-6)*([R]*T) --> ((3*3)-6)*([R]*85)

Evaluating ... ...

E_viv = 2120.18796762908

STEP 3: Convert Result to Output's Unit

2120.18796762908 Joule Per Mole --> No Conversion Required

FINAL ANSWER

2120.18796762908 ≈ 2120.188 Joule Per Mole <-- Vibrational Molar Energy

(Calculation completed in 00.020 seconds)

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Home » Chemistry » Kinetic Theory of Gases » Equipartition Principle and Heat Capacity » 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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National Institute of Information Technology (NIIT), Neemrana

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< Equipartition Principle and Heat Capacity Calculators

Rotational Energy of Non-Linear Molecule

Go Rotational Energy = (0.5*Moment of Inertia along Y-axis*Angular Velocity along Y-axis^2)+(0.5*Moment of Inertia along Z-axis*Angular Velocity along Z-axis^2)+(0.5*Moment of Inertia along X-axis*Angular Velocity along X-axis^2)

Translational Energy

Go Translational Energy = ((Momentum along X-axis^2)/(2*Mass))+((Momentum along Y-axis^2)/(2*Mass))+((Momentum along Z-axis^2)/(2*Mass))

Rotational Energy of Linear Molecule

Go Rotational Energy = (0.5*Moment of Inertia along Y-axis*(Angular Velocity along Y-axis^2))+(0.5*Moment of Inertia along Z-axis*(Angular Velocity along Z-axis^2))

Vibrational Energy Modeled as Harmonic Oscillator

Go Vibrational Energy = ((Momentum of Harmonic Oscillator^2)/(2*Mass))+(0.5*Spring Constant*(Change in Position^2))

< Important Formulae on Equipartition Principle and Heat Capacity Calculators

Average Thermal Energy of Non-linear polyatomic Gas Molecule given Atomicity

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

Average Thermal Energy of Linear Polyatomic Gas Molecule given Atomicity

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

Internal Molar Energy of Non-Linear Molecule given Atomicity

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

Internal Molar Energy of Linear Molecule given Atomicity

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

Molar Vibrational Energy of Non-Linear Molecule Formula

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

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 Molar Vibrational Energy of Non-Linear Molecule?

Molar Vibrational Energy of Non-Linear Molecule calculator uses Vibrational Molar Energy = ((3*Atomicity)-6)*([R]*Temperature) to calculate the Vibrational Molar Energy, The Molar Vibrational Energy of Non-Linear Molecule formula is defined as the kinetic energy an object has due to its vibrational motion. Vibrational Molar Energy is denoted by E_viv symbol.

How to calculate Molar Vibrational Energy of Non-Linear Molecule using this online calculator? To use this online calculator for Molar Vibrational Energy of Non-Linear Molecule, enter Atomicity (N) & Temperature (T) and hit the calculate button. Here is how the Molar Vibrational Energy of Non-Linear Molecule calculation can be explained with given input values -> 2120.188 = ((3*3)-6)*([R]*85).

FAQ

What is Molar Vibrational Energy of Non-Linear Molecule?

The Molar Vibrational Energy of Non-Linear Molecule formula is defined as the kinetic energy an object has due to its vibrational motion and is represented as E_viv = ((3*N)-6)*([R]*T) or Vibrational Molar Energy = ((3*Atomicity)-6)*([R]*Temperature). The Atomicity is defined as the total number of atoms present in a molecule or element & Temperature is the degree or intensity of heat present in a substance or object.

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

The Molar Vibrational Energy of Non-Linear Molecule formula is defined as the kinetic energy an object has due to its vibrational motion is calculated using Vibrational Molar Energy = ((3*Atomicity)-6)*([R]*Temperature). To calculate Molar Vibrational Energy of Non-Linear Molecule, you need Atomicity (N) & Temperature (T). With our tool, you need to enter the respective value for Atomicity & Temperature 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 Vibrational Molar Energy?

In this formula, Vibrational Molar Energy uses Atomicity & Temperature. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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