Molar Heat Capacity at Constant Volume of Linear Molecule Solution

STEP 0: Pre-Calculation Summary
Formula Used
Molar Specific Heat Capacity at Constant Volume = ((3*Atomicity)-2.5)*[R]
Cv = ((3*N)-2.5)*[R]
This formula uses 1 Constants, 2 Variables
Constants Used
[R] - Universal gas constant Value Taken As 8.31446261815324
Variables Used
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.
Atomicity - The Atomicity is defined as the total number of atoms present in a molecule or element.
STEP 1: Convert Input(s) to Base Unit
Atomicity: 3 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Cv = ((3*N)-2.5)*[R] --> ((3*3)-2.5)*[R]
Evaluating ... ...
Cv = 54.0440070179961
STEP 3: Convert Result to Output's Unit
54.0440070179961 Joule Per Kelvin Per Mole --> No Conversion Required
FINAL ANSWER
54.0440070179961 54.04401 Joule Per Kelvin Per Mole <-- Molar Specific Heat Capacity at Constant Volume
(Calculation completed in 00.004 seconds)

Credits

Created by Prerana Bakli
University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
Prerana Bakli has created this Calculator and 800+ more calculators!
Verified by Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
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12 Molar Heat Capacity Calculators

Molar Heat Capacity at Constant Volume given Volumetric Coefficient of Thermal Expansion
Go Molar Specific Heat Capacity at Constant Volume = (((Volumetric Coefficient of Thermal Expansion^2)*Temperature)/((Isothermal Compressibility-Isentropic Compressibility)*Density))-[R]
Molar Heat Capacity at Constant Pressure given Thermal Pressure Coefficient
Go Molar Specific Heat Capacity at Constant Pressure = (((Thermal Pressure Coefficient^2)*Temperature)/(((1/Isentropic Compressibility)-(1/Isothermal Compressibility))*Density))+[R]
Molar Heat Capacity at Constant Pressure given Volumetric Coefficient of Thermal Expansion
Go Molar Specific Heat Capacity at Constant Pressure = ((Volumetric Coefficient of Thermal Expansion^2)*Temperature)/((Isothermal Compressibility-Isentropic Compressibility)*Density)
Molar Heat Capacity at Constant Volume given Thermal Pressure Coefficient
Go Molar Specific Heat Capacity at Constant Volume = ((Thermal Pressure Coefficient^2)*Temperature)/(((1/Isentropic Compressibility)-(1/Isothermal Compressibility))*Density)
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
Molar Heat Capacity at Constant Volume given Compressibility
Go Molar Specific Heat Capacity at Constant Volume = (Isentropic Compressibility/Isothermal Compressibility)*Molar Specific Heat Capacity at Constant Pressure
Molar Heat Capacity at Constant Pressure given Degree of Freedom
Go Molar Specific Heat Capacity at Constant Pressure = ((Degree of Freedom*[R])/2)+[R]
Molar Heat Capacity at Constant Pressure of Linear Molecule
Go Molar Specific Heat Capacity at Constant Pressure = (((3*Atomicity)-2.5)*[R])+[R]
Molar Heat Capacity at Constant Pressure of Non-Linear Molecule
Go Molar Specific Heat Capacity at Constant Pressure = (((3*Atomicity)-3)*[R])+[R]
Molar Heat Capacity at Constant Volume given Degree of Freedom
Go Molar Specific Heat Capacity at Constant Volume = (Degree of Freedom*[R])/2
Molar Heat Capacity at Constant Volume of Linear Molecule
Go Molar Specific Heat Capacity at Constant Volume = ((3*Atomicity)-2.5)*[R]
Molar Heat Capacity at Constant Volume of Non-Linear Molecule
Go Molar Specific Heat Capacity at Constant Volume = ((3*Atomicity)-3)*[R]

Molar Heat Capacity at Constant Volume of Linear Molecule Formula

Molar Specific Heat Capacity at Constant Volume = ((3*Atomicity)-2.5)*[R]
Cv = ((3*N)-2.5)*[R]

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 Heat Capacity at Constant Volume of Linear Molecule?

Molar Heat Capacity at Constant Volume of Linear Molecule calculator uses Molar Specific Heat Capacity at Constant Volume = ((3*Atomicity)-2.5)*[R] to calculate the Molar Specific Heat Capacity at Constant Volume, The Molar Heat Capacity at constant volume of Linear Molecule is the amount of heat required to raise the temperature of 1 mol of the gas by 1 °C at the constant volume. Molar Specific Heat Capacity at Constant Volume is denoted by Cv symbol.

How to calculate Molar Heat Capacity at Constant Volume of Linear Molecule using this online calculator? To use this online calculator for Molar Heat Capacity at Constant Volume of Linear Molecule, enter Atomicity (N) and hit the calculate button. Here is how the Molar Heat Capacity at Constant Volume of Linear Molecule calculation can be explained with given input values -> 54.04401 = ((3*3)-2.5)*[R].

FAQ

What is Molar Heat Capacity at Constant Volume of Linear Molecule?
The Molar Heat Capacity at constant volume of Linear Molecule is the amount of heat required to raise the temperature of 1 mol of the gas by 1 °C at the constant volume and is represented as Cv = ((3*N)-2.5)*[R] or Molar Specific Heat Capacity at Constant Volume = ((3*Atomicity)-2.5)*[R]. The Atomicity is defined as the total number of atoms present in a molecule or element.
How to calculate Molar Heat Capacity at Constant Volume of Linear Molecule?
The Molar Heat Capacity at constant volume of Linear Molecule is the amount of heat required to raise the temperature of 1 mol of the gas by 1 °C at the constant volume is calculated using Molar Specific Heat Capacity at Constant Volume = ((3*Atomicity)-2.5)*[R]. To calculate Molar Heat Capacity at Constant Volume of Linear Molecule, you need Atomicity (N). With our tool, you need to enter the respective value for Atomicity 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 Specific Heat Capacity at Constant Volume?
In this formula, Molar Specific Heat Capacity at Constant Volume uses Atomicity. We can use 5 other way(s) to calculate the same, which is/are as follows -
  • Molar Specific Heat Capacity at Constant Volume = (Degree of Freedom*[R])/2
  • Molar Specific Heat Capacity at Constant Volume = ((3*Atomicity)-3)*[R]
  • Molar Specific Heat Capacity at Constant Volume = (Isentropic Compressibility/Isothermal Compressibility)*Molar Specific Heat Capacity at Constant Pressure
  • Molar Specific Heat Capacity at Constant Volume = (((Volumetric Coefficient of Thermal Expansion^2)*Temperature)/((Isothermal Compressibility-Isentropic Compressibility)*Density))-[R]
  • Molar Specific Heat Capacity at Constant Volume = ((Thermal Pressure Coefficient^2)*Temperature)/(((1/Isentropic Compressibility)-(1/Isothermal Compressibility))*Density)
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