Internal Molar Energy of Non-Linear 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%

✖Molar Internal Energy of a thermodynamic system is the energy contained within it. It is the energy necessary to create or prepare the system in any given internal state.ⓘ Internal Molar Energy of Non-Linear Molecule given Atomicity [U_molar]

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Formula

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Internal Molar Energy of Non-Linear Molecule given Atomicity

Formula

U molar = ((6 \cdot N) - 6) \cdot (0.5 \cdot [R] \cdot T)

Example

4240.376 J = ((6 \cdot 3) - 6) \cdot (0.5 \cdot [R] \cdot 85 K)

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Internal Molar Energy of Non-Linear Molecule given Atomicity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Molar Internal Energy = ((6*Atomicity)-6)*(0.5*[R]*Temperature)
U_molar = ((6*N)-6)*(0.5*[R]*T)
This formula uses 1 Constants, 3 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

Molar Internal Energy - (Measured in Joule) - Molar Internal Energy of a thermodynamic system is the energy contained within it. It is the energy necessary to create or prepare the system in any given internal state.
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

U_molar = ((6*N)-6)*(0.5*[R]*T) --> ((6*3)-6)*(0.5*[R]*85)

Evaluating ... ...

U_molar = 4240.37593525815

STEP 3: Convert Result to Output's Unit

4240.37593525815 Joule --> No Conversion Required

FINAL ANSWER

4240.37593525815 ≈ 4240.376 Joule <-- Molar Internal Energy

(Calculation completed in 00.004 seconds)

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

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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)

Internal Molar Energy of Non-Linear Molecule given Atomicity Formula

Molar Internal Energy = ((6*Atomicity)-6)*(0.5*[R]*Temperature)
U_molar = ((6*N)-6)*(0.5*[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 Internal Molar Energy of Non-Linear Molecule given Atomicity?

Internal Molar Energy of Non-Linear Molecule given Atomicity calculator uses Molar Internal Energy = ((6*Atomicity)-6)*(0.5*[R]*Temperature) to calculate the Molar Internal Energy, The Internal Molar Energy of Non-Linear Molecule given Atomicity of a thermodynamic system is the energy contained within it. It is the energy necessary to create or prepare the system in any given internal state. Molar Internal Energy is denoted by U_molar symbol.

How to calculate Internal Molar Energy of Non-Linear Molecule given Atomicity using this online calculator? To use this online calculator for Internal Molar Energy of Non-Linear Molecule given Atomicity, enter Atomicity (N) & Temperature (T) and hit the calculate button. Here is how the Internal Molar Energy of Non-Linear Molecule given Atomicity calculation can be explained with given input values -> 4240.376 = ((6*3)-6)*(0.5*[R]*85).

FAQ

What is Internal Molar Energy of Non-Linear Molecule given Atomicity?

The Internal Molar Energy of Non-Linear Molecule given Atomicity of a thermodynamic system is the energy contained within it. It is the energy necessary to create or prepare the system in any given internal state and is represented as U_molar = ((6*N)-6)*(0.5*[R]*T) or Molar Internal Energy = ((6*Atomicity)-6)*(0.5*[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 Internal Molar Energy of Non-Linear Molecule given Atomicity?

The Internal Molar Energy of Non-Linear Molecule given Atomicity of a thermodynamic system is the energy contained within it. It is the energy necessary to create or prepare the system in any given internal state is calculated using Molar Internal Energy = ((6*Atomicity)-6)*(0.5*[R]*Temperature). To calculate Internal Molar Energy of Non-Linear 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 Molar Internal Energy?

In this formula, Molar Internal Energy uses Atomicity & Temperature. We can use 3 other way(s) to calculate the same, which is/are as follows -

Molar Internal Energy = ((6*Atomicity)-5)*(0.5*[R]*Temperature)
Molar Internal Energy = ((3/2)*[R]*Temperature)+((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)))+((3*Atomicity)-6)*([R]*Temperature)
Molar Internal Energy = ((3/2)*[R]*Temperature)+((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)))+((3*Atomicity)-5)*([R]*Temperature)

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