Atomicity given Molar Vibrational Energy of Non-Linear Molecule Solution

STEP 0: Pre-Calculation Summary
Formula Used
Atomicity = ((Molar Vibrational Energy/([R]*Temperature))+6)/3
N = ((Ev/([R]*T))+6)/3
This formula uses 1 Constants, 3 Variables
Constants Used
[R] - Universal gas constant Value Taken As 8.31446261815324
Variables Used
Atomicity - The Atomicity is defined as the total number of atoms present in a molecule or element.
Molar Vibrational Energy - (Measured in Joule Per Mole) - The Molar Vibrational Energy is the energy responsible for vibration motion of particles.
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
Molar Vibrational Energy: 550 Joule Per Mole --> 550 Joule Per Mole No Conversion Required
Temperature: 85 Kelvin --> 85 Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
N = ((Ev/([R]*T))+6)/3 --> ((550/([R]*85))+6)/3
Evaluating ... ...
N = 2.25941096185686
STEP 3: Convert Result to Output's Unit
2.25941096185686 --> No Conversion Required
FINAL ANSWER
2.25941096185686 2.259411 <-- Atomicity
(Calculation completed in 00.004 seconds)

Credits

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University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
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National Institute of Information Technology (NIIT), Neemrana
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22 Atomicity Calculators

Atomicity given Molar Heat Capacity at Constant Pressure and Volume of Linear Molecule
Go Atomicity = ((2.5*( Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume))-1.5)/((3*(Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume))-3)
Atomicity given Molar Heat Capacity at Constant Pressure and Volume of Non-Linear Molecule
Go Atomicity = ((3*(Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume))-2)/((3*(Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume))-3)
Atomicity given Molar Heat Capacity at Constant Pressure of Linear Molecule
Go Atomicity = (((Molar Specific Heat Capacity at Constant Pressure-[R])/[R])+2.5)/3
Atomicity given Molar Heat Capacity at Constant Pressure of Non-Linear Molecule
Go Atomicity = (((Molar Specific Heat Capacity at Constant Pressure-[R])/[R])+3)/3
Atomicity given Average Thermal Energy of Linear Polyatomic Gas Molecule
Go Atomicity = ((Internal Molar Energy/(0.5*[BoltZ]*Temperature))+5)/6
Atomicity given Internal Molar Energy of Non-Linear Molecule
Go Atomicity = ((Internal Molar Energy/(0.5*[R]*Temperature))+6)/6
Atomicity given Internal Molar Energy of Linear Molecule
Go Atomicity = ((Internal Molar Energy/(0.5*[R]*Temperature))+5)/6
Atomicity given Molar Vibrational Energy of Non-Linear Molecule
Go Atomicity = ((Molar Vibrational Energy/([R]*Temperature))+6)/3
Atomicity given Molar Vibrational Energy of Linear Molecule
Go Atomicity = ((Molar Vibrational Energy/([R]*Temperature))+5)/3
Atomicity given Average Thermal Energy of Non-linear Polyatomic Gas Molecule
Go Atomicity = ((Thermal Energy/(0.5*[BoltZ]*Temperature))+6)/6
Atomicity given Vibrational Energy of Non-Linear Molecule
Go Atomicity = ((Vibrational Energy/([BoltZ]*Temperature))+6)/3
Atomicity given Vibrational Energy of Linear Molecule
Go Atomicity = ((Vibrational Energy/([BoltZ]*Temperature))+5)/3
Atomicity given Ratio of Molar Heat Capacity of Linear Molecule
Go Atomicity = ((2.5*Ratio of Molar Heat Capacity)-1.5)/((3*Ratio of Molar Heat Capacity)-3)
Atomicity given Ratio of Molar Heat Capacity of Non-Linear Molecule
Go Atomicity = ((3*Ratio of Molar Heat Capacity)-2)/((3*Ratio of Molar Heat Capacity)-3)
Atomicity given Molar Heat Capacity at Constant Volume of Linear Molecule
Go Atomicity = ((Molar Specific Heat Capacity at Constant Volume/[R])+2.5)/3
Atomicity given Molar Heat Capacity at Constant Volume of Non-Linear Molecule
Go Atomicity = ((Molar Specific Heat Capacity at Constant Volume/[R])+3)/3
Atomicity given Vibrational Mode of Non-Linear Molecule
Go Atomicity = (Number of Normal modes+6)/3
Atomicity given Vibrational Mode of Linear Molecule
Go Atomicity = (Number of Normal modes+5)/3
Atomicity given Vibrational Degree of Freedom in Non-Linear Molecule
Go Atomicity = (Degree of Freedom+6)/3
Atomicity given Vibrational Degree of Freedom in Linear Molecule
Go Atomicity = (Degree of Freedom+5)/3
Atomicity given Number of modes in Non-Linear Molecule
Go Atomicity = (Number of Modes+6)/6
Atomicity given Number of modes in Linear Molecule
Go Atomicity = (Number of Modes+5)/6

20 Important Formulae on Equipartition Principle and Heat Capacity Calculators

Internal Molar Energy of Non-Linear Molecule
Go 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)
Internal Molar Energy of Linear Molecule
Go 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)
Atomicity given Molar Heat Capacity at Constant Pressure and Volume of Linear Molecule
Go Atomicity = ((2.5*( Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume))-1.5)/((3*(Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume))-3)
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))
Molar Heat Capacity at Constant Pressure given Compressibility
Go Molar Specific Heat Capacity at Constant Pressure = (Isothermal Compressibility/Isentropic Compressibility)*Molar Specific Heat Capacity at Constant Volume
Ratio of Molar Heat Capacity of Linear Molecule
Go Ratio of Molar Heat Capacity = ((((3*Atomicity)-2.5)*[R])+[R])/(((3*Atomicity)-2.5)*[R])
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)
Total Kinetic Energy
Go Total Energy = Translational Energy+Rotational Energy+Vibrational Energy
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)
Atomicity given Molar Vibrational Energy of Non-Linear Molecule
Go Atomicity = ((Molar Vibrational Energy/([R]*Temperature))+6)/3
Molar Vibrational Energy of Non-Linear Molecule
Go Vibrational Molar Energy = ((3*Atomicity)-6)*([R]*Temperature)
Molar Vibrational Energy of Linear Molecule
Go Vibrational Molar Energy = ((3*Atomicity)-5)*([R]*Temperature)
Atomicity given Ratio of Molar Heat Capacity of Linear Molecule
Go Atomicity = ((2.5*Ratio of Molar Heat Capacity)-1.5)/((3*Ratio of Molar Heat Capacity)-3)
Number of Modes in Non-Linear Molecule
Go Number of Normal modes for Non Linear = (6*Atomicity)-6
Ratio of Molar Heat Capacity given Degree of Freedom
Go Ratio of Molar Heat Capacity = 1+(2/Degree of Freedom)
Degree of Freedom given Ratio of Molar Heat Capacity
Go Degree of Freedom = 2/(Ratio of Molar Heat Capacity-1)
Vibrational Mode of Linear Molecule
Go Number of Normal modes = (3*Atomicity)-5
Atomicity given Vibrational Degree of Freedom in Non-Linear Molecule
Go Atomicity = (Degree of Freedom+6)/3

Atomicity given Molar Vibrational Energy of Non-Linear Molecule Formula

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

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 Atomicity given Molar Vibrational Energy of Non-Linear Molecule?

Atomicity given Molar Vibrational Energy of Non-Linear Molecule calculator uses Atomicity = ((Molar Vibrational Energy/([R]*Temperature))+6)/3 to calculate the Atomicity, The Atomicity given Molar Vibrational Energy of Non-Linear Molecule is defined as the total number of atoms present in a molecule of an element. Atomicity is denoted by N symbol.

How to calculate Atomicity given Molar Vibrational Energy of Non-Linear Molecule using this online calculator? To use this online calculator for Atomicity given Molar Vibrational Energy of Non-Linear Molecule, enter Molar Vibrational Energy (Ev) & Temperature (T) and hit the calculate button. Here is how the Atomicity given Molar Vibrational Energy of Non-Linear Molecule calculation can be explained with given input values -> 2.259411 = ((550/([R]*85))+6)/3.

FAQ

What is Atomicity given Molar Vibrational Energy of Non-Linear Molecule?
The Atomicity given Molar Vibrational Energy of Non-Linear Molecule is defined as the total number of atoms present in a molecule of an element and is represented as N = ((Ev/([R]*T))+6)/3 or Atomicity = ((Molar Vibrational Energy/([R]*Temperature))+6)/3. The Molar Vibrational Energy is the energy responsible for vibration motion of particles & Temperature is the degree or intensity of heat present in a substance or object.
How to calculate Atomicity given Molar Vibrational Energy of Non-Linear Molecule?
The Atomicity given Molar Vibrational Energy of Non-Linear Molecule is defined as the total number of atoms present in a molecule of an element is calculated using Atomicity = ((Molar Vibrational Energy/([R]*Temperature))+6)/3. To calculate Atomicity given Molar Vibrational Energy of Non-Linear Molecule, you need Molar Vibrational Energy (Ev) & Temperature (T). With our tool, you need to enter the respective value for Molar Vibrational Energy & 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 Atomicity?
In this formula, Atomicity uses Molar Vibrational Energy & Temperature. We can use 24 other way(s) to calculate the same, which is/are as follows -
  • Atomicity = (((Molar Specific Heat Capacity at Constant Pressure-[R])/[R])+2.5)/3
  • Atomicity = (((Molar Specific Heat Capacity at Constant Pressure-[R])/[R])+3)/3
  • Atomicity = ((Molar Specific Heat Capacity at Constant Volume/[R])+2.5)/3
  • Atomicity = ((Molar Specific Heat Capacity at Constant Volume/[R])+3)/3
  • Atomicity = ((Internal Molar Energy/(0.5*[BoltZ]*Temperature))+5)/6
  • Atomicity = ((Thermal Energy/(0.5*[BoltZ]*Temperature))+6)/6
  • Atomicity = ((Internal Molar Energy/(0.5*[R]*Temperature))+5)/6
  • Atomicity = ((Internal Molar Energy/(0.5*[R]*Temperature))+6)/6
  • Atomicity = ((2.5*( Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume))-1.5)/((3*(Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume))-3)
  • Atomicity = ((3*(Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume))-2)/((3*(Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume))-3)
  • Atomicity = ((Molar Vibrational Energy/([R]*Temperature))+5)/3
  • Atomicity = (Number of Modes+5)/6
  • Atomicity = (Number of Modes+6)/6
  • Atomicity = ((2.5*Ratio of Molar Heat Capacity)-1.5)/((3*Ratio of Molar Heat Capacity)-3)
  • Atomicity = ((3*Ratio of Molar Heat Capacity)-2)/((3*Ratio of Molar Heat Capacity)-3)
  • Atomicity = (Degree of Freedom+5)/3
  • Atomicity = (Degree of Freedom+6)/3
  • Atomicity = ((Vibrational Energy/([BoltZ]*Temperature))+5)/3
  • Atomicity = ((Vibrational Energy/([BoltZ]*Temperature))+6)/3
  • Atomicity = (Number of Normal modes+5)/3
  • Atomicity = (Number of Normal modes+6)/3
  • Atomicity = (Degree of Freedom+6)/3
  • Atomicity = ((2.5*Ratio of Molar Heat Capacity)-1.5)/((3*Ratio of Molar Heat Capacity)-3)
  • Atomicity = ((2.5*( Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume))-1.5)/((3*(Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume))-3)
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