Molar Heat Capacity at Constant Volume given Degree of Freedom Calculator

✖Degree of Freedom is an independent physical parameter in the formal description of the state of a physical system.ⓘ Degree of Freedom [F]

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✖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.ⓘ Molar Heat Capacity at Constant Volume given Degree of Freedom [C_v]

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Molar Heat Capacity at Constant Volume given Degree of Freedom Solution

STEP 0: Pre-Calculation Summary

Formula Used

Molar Specific Heat Capacity at Constant Volume = (Degree of Freedom*[R])/2
C_v = (F*[R])/2
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.
Degree of Freedom - Degree of Freedom is an independent physical parameter in the formal description of the state of a physical system.

STEP 1: Convert Input(s) to Base Unit

Degree of Freedom: 2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_v = (F*[R])/2 --> (2*[R])/2

Evaluating ... ...

C_v = 8.31446261815324

STEP 3: Convert Result to Output's Unit

8.31446261815324 Joule Per Kelvin Per Mole --> No Conversion Required

FINAL ANSWER

8.31446261815324 ≈ 8.314463 Joule Per Kelvin Per Mole <-- Molar Specific Heat Capacity at Constant Volume

(Calculation completed in 00.020 seconds)

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< Molar Heat Capacity Calculators

Molar Heat Capacity at Constant Pressure given Degree of Freedom

LaTeX Go Molar Specific Heat Capacity at Constant Pressure = ((Degree of Freedom*[R])/2)+[R]

Molar Heat Capacity at Constant Pressure of Linear Molecule

LaTeX Go Molar Specific Heat Capacity at Constant Pressure = (((3*Atomicity)-2.5)*[R])+[R]

Molar Heat Capacity at Constant Pressure of Non-Linear Molecule

LaTeX Go Molar Specific Heat Capacity at Constant Pressure = (((3*Atomicity)-3)*[R])+[R]

Molar Heat Capacity at Constant Volume given Degree of Freedom

LaTeX Go Molar Specific Heat Capacity at Constant Volume = (Degree of Freedom*[R])/2

Molar Heat Capacity at Constant Volume given Degree of Freedom Formula

LaTeX Go

Molar Specific Heat Capacity at Constant Volume = (Degree of Freedom*[R])/2
C_v = (F*[R])/2

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 given Degree of Freedom?

Molar Heat Capacity at Constant Volume given Degree of Freedom calculator uses Molar Specific Heat Capacity at Constant Volume = (Degree of Freedom*[R])/2 to calculate the Molar Specific Heat Capacity at Constant Volume, The Molar Heat Capacity at constant volume given Degree of Freedom is the amount of heat required to raise the temperature of 1 mole of the gas by 1 °C at the constant volume. Molar Specific Heat Capacity at Constant Volume is denoted by C_v symbol.

How to calculate Molar Heat Capacity at Constant Volume given Degree of Freedom using this online calculator? To use this online calculator for Molar Heat Capacity at Constant Volume given Degree of Freedom, enter Degree of Freedom (F) and hit the calculate button. Here is how the Molar Heat Capacity at Constant Volume given Degree of Freedom calculation can be explained with given input values -> 8.314463 = (2*[R])/2.

FAQ

What is Molar Heat Capacity at Constant Volume given Degree of Freedom?

The Molar Heat Capacity at constant volume given Degree of Freedom is the amount of heat required to raise the temperature of 1 mole of the gas by 1 °C at the constant volume and is represented as C_v = (F*[R])/2 or Molar Specific Heat Capacity at Constant Volume = (Degree of Freedom*[R])/2. Degree of Freedom is an independent physical parameter in the formal description of the state of a physical system.

How to calculate Molar Heat Capacity at Constant Volume given Degree of Freedom?

The Molar Heat Capacity at constant volume given Degree of Freedom is the amount of heat required to raise the temperature of 1 mole of the gas by 1 °C at the constant volume is calculated using Molar Specific Heat Capacity at Constant Volume = (Degree of Freedom*[R])/2. To calculate Molar Heat Capacity at Constant Volume given Degree of Freedom, you need Degree of Freedom (F). With our tool, you need to enter the respective value for Degree of Freedom 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 Degree of Freedom. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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