Atomicity given Molar Heat Capacity at Constant Pressure and Volume of Linear Molecule Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
N = ((2.5*(Cp/Cv))-1.5)/((3*(Cp/Cv))-3)
This formula uses 3 Variables
Variables Used
Atomicity - The Atomicity is defined as the total number of atoms present in a molecule or element.
Molar Specific Heat Capacity at Constant Pressure - (Measured in Joule Per Kelvin Per Mole) - Molar Specific Heat Capacity at Constant Pressure of a gas is the amount of heat required to raise the temperature of 1 mol of the gas by 1 °C at the constant pressure.
Molar Specific Heat Capacity at Constant Volume - (Measured in Joule Per Kelvin Per Mole) - Molar Specific Heat Capacity at Constant Volume, of a gas is the amount of heat required to raise the temperature of 1 mol of the gas by 1 °C at the constant volume.
STEP 1: Convert Input(s) to Base Unit
Molar Specific Heat Capacity at Constant Pressure: 122 Joule Per Kelvin Per Mole --> 122 Joule Per Kelvin Per Mole No Conversion Required
Molar Specific Heat Capacity at Constant Volume: 103 Joule Per Kelvin Per Mole --> 103 Joule Per Kelvin Per Mole No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
N = ((2.5*(Cp/Cv))-1.5)/((3*(Cp/Cv))-3) --> ((2.5*(122/103))-1.5)/((3*(122/103))-3)
Evaluating ... ...
N = 2.64035087719298
STEP 3: Convert Result to Output's Unit
2.64035087719298 --> No Conversion Required
FINAL ANSWER
2.64035087719298 2.640351 <-- Atomicity
(Calculation completed in 00.004 seconds)

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Atomicity Calculators

Atomicity given Molar Heat Capacity at Constant Pressure of Linear Molecule
​ LaTeX ​ 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
​ LaTeX ​ Go Atomicity = (((Molar Specific Heat Capacity at Constant Pressure-[R])/[R])+3)/3
Atomicity given Molar Heat Capacity at Constant Volume of Linear Molecule
​ LaTeX ​ 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
​ LaTeX ​ Go Atomicity = ((Molar Specific Heat Capacity at Constant Volume/[R])+3)/3

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)

Atomicity given Molar Heat Capacity at Constant Pressure and Volume of Linear Molecule Formula

​LaTeX ​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)
N = ((2.5*(Cp/Cv))-1.5)/((3*(Cp/Cv))-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 Heat Capacity at Constant Pressure and Volume of Linear Molecule?

Atomicity given Molar Heat Capacity at Constant Pressure and Volume of Linear Molecule calculator uses 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) to calculate the Atomicity, The Atomicity given Molar Heat Capacity at constant Pressure and Volume of 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 Heat Capacity at Constant Pressure and Volume of Linear Molecule using this online calculator? To use this online calculator for Atomicity given Molar Heat Capacity at Constant Pressure and Volume of Linear Molecule, enter Molar Specific Heat Capacity at Constant Pressure (Cp) & Molar Specific Heat Capacity at Constant Volume (Cv) and hit the calculate button. Here is how the Atomicity given Molar Heat Capacity at Constant Pressure and Volume of Linear Molecule calculation can be explained with given input values -> 2.640351 = ((2.5*(122/103))-1.5)/((3*(122/103))-3).

FAQ

What is Atomicity given Molar Heat Capacity at Constant Pressure and Volume of Linear Molecule?
The Atomicity given Molar Heat Capacity at constant Pressure and Volume of Linear Molecule is defined as the total number of atoms present in a molecule of an element and is represented as N = ((2.5*(Cp/Cv))-1.5)/((3*(Cp/Cv))-3) or 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). Molar Specific Heat Capacity at Constant Pressure of a gas is the amount of heat required to raise the temperature of 1 mol of the gas by 1 °C at the constant pressure & Molar Specific Heat Capacity at Constant Volume, of a gas is the amount of heat required to raise the temperature of 1 mol of the gas by 1 °C at the constant volume.
How to calculate Atomicity given Molar Heat Capacity at Constant Pressure and Volume of Linear Molecule?
The Atomicity given Molar Heat Capacity at constant Pressure and Volume of Linear Molecule is defined as the total number of atoms present in a molecule of an element is calculated using 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). To calculate Atomicity given Molar Heat Capacity at Constant Pressure and Volume of Linear Molecule, you need Molar Specific Heat Capacity at Constant Pressure (Cp) & Molar Specific Heat Capacity at Constant Volume (Cv). With our tool, you need to enter the respective value for Molar Specific Heat Capacity at Constant Pressure & Molar Specific Heat Capacity at Constant Volume 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 Specific Heat Capacity at Constant Pressure & Molar Specific Heat Capacity at Constant Volume. We can use 3 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
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