Average Thermal Energy of Linear Polyatomic Gas Molecule given Atomicity 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%

✖Thermal Energy given Atomicity 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.ⓘ Average Thermal Energy of Linear Polyatomic Gas Molecule given Atomicity [Q_atomicity]

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Average Thermal Energy of Linear Polyatomic Gas Molecule given Atomicity Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

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

Variables Used

Thermal Energy given Atomicity - (Measured in Joule) - Thermal Energy given Atomicity 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.
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

Q_atomicity = ((6*N)-5)*(0.5*[BoltZ]*T) --> ((6*3)-5)*(0.5*[BoltZ]*85)

Evaluating ... ...

Q_atomicity = 7.628083073E-21

STEP 3: Convert Result to Output's Unit

7.628083073E-21 Joule --> No Conversion Required

FINAL ANSWER

7.628083073E-21 ≈ 7.6E-21 Joule <-- Thermal Energy given Atomicity

(Calculation completed in 00.004 seconds)

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

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Rotational Energy of Non-Linear Molecule

LaTeX 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

LaTeX 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

LaTeX 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

LaTeX 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

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

Average Thermal Energy of Linear Polyatomic Gas Molecule given Atomicity

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

Internal Molar Energy of Non-Linear Molecule given Atomicity

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

Internal Molar Energy of Linear Molecule given Atomicity

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

Average Thermal Energy of Linear Polyatomic Gas Molecule given Atomicity Formula

LaTeX Go

Thermal Energy given Atomicity = ((6*Atomicity)-5)*(0.5*[BoltZ]*Temperature)
Q_atomicity = ((6*N)-5)*(0.5*[BoltZ]*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 Average Thermal Energy of Linear Polyatomic Gas Molecule given Atomicity?

Average Thermal Energy of Linear Polyatomic Gas Molecule given Atomicity calculator uses Thermal Energy given Atomicity = ((6*Atomicity)-5)*(0.5*[BoltZ]*Temperature) to calculate the Thermal Energy given Atomicity, The Average thermal energy of linear polyatomic gas molecule given atomicity is produced when a rise in temperature causes atoms and molecules to move faster and collide with each other. Thermal Energy given Atomicity is denoted by Q_atomicity symbol.

How to calculate Average Thermal Energy of Linear Polyatomic Gas Molecule given Atomicity using this online calculator? To use this online calculator for Average Thermal Energy of Linear Polyatomic Gas Molecule given Atomicity, enter Atomicity (N) & Temperature (T) and hit the calculate button. Here is how the Average Thermal Energy of Linear Polyatomic Gas Molecule given Atomicity calculation can be explained with given input values -> 7.6E-21 = ((6*3)-5)*(0.5*[BoltZ]*85).

FAQ

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

The Average thermal energy of linear polyatomic gas molecule given atomicity is produced when a rise in temperature causes atoms and molecules to move faster and collide with each other and is represented as Q_atomicity = ((6*N)-5)*(0.5*[BoltZ]*T) or Thermal Energy given Atomicity = ((6*Atomicity)-5)*(0.5*[BoltZ]*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 Average Thermal Energy of Linear Polyatomic Gas Molecule given Atomicity?

The Average thermal energy of linear polyatomic gas molecule given atomicity is produced when a rise in temperature causes atoms and molecules to move faster and collide with each other is calculated using Thermal Energy given Atomicity = ((6*Atomicity)-5)*(0.5*[BoltZ]*Temperature). To calculate Average Thermal Energy of Linear Polyatomic Gas Molecule given Atomicity, 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 Thermal Energy given Atomicity?

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

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

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