Degree of Freedom given Molar Heat Capacity at Constant Volume and Pressure Calculator

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✖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 Pressure [C_p]			+10% -10%
✖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 Specific Heat Capacity at Constant Volume [C_v]			+10% -10%

✖Degree of Freedom is an independent physical parameter in the formal description of the state of a physical system.ⓘ Degree of Freedom given Molar Heat Capacity at Constant Volume and Pressure [F]

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Formula

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Degree of Freedom given Molar Heat Capacity at Constant Volume and Pressure

Formula

`"F" = 2/(("C"_{"p"}/"C"_{"v"})-1)`

Example

`"10.84211"=2/(("122J/K*mol"/"103J/K*mol")-1)`

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Degree of Freedom given Molar Heat Capacity at Constant Volume and Pressure Solution

STEP 0: Pre-Calculation Summary

Formula Used

Degree of Freedom = 2/((Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume)-1)
F = 2/((C_p/C_v)-1)
This formula uses 3 Variables

Variables Used

Degree of Freedom - Degree of Freedom is an independent physical parameter in the formal description of the state of a physical system.
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

F = 2/((C_p/C_v)-1) --> 2/((122/103)-1)

Evaluating ... ...

F = 10.8421052631579

STEP 3: Convert Result to Output's Unit

10.8421052631579 --> No Conversion Required

FINAL ANSWER

10.8421052631579 ≈ 10.84211 <-- Degree of Freedom

(Calculation completed in 00.004 seconds)

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Home » Chemistry » Kinetic Theory of Gases » Equipartition Principle and Heat Capacity » Degree of Freedom » Degree of Freedom given Molar Heat Capacity at Constant Volume and Pressure

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< 6 Degree of Freedom Calculators

Degree of Freedom given Molar Heat Capacity at Constant Pressure

Go Degree of Freedom = 2/((Molar Specific Heat Capacity at Constant Pressure/(Molar Specific Heat Capacity at Constant Pressure-[R]))-1)

Degree of Freedom given Molar Heat Capacity at Constant Volume

Go Degree of Freedom = 2/(((Molar Specific Heat Capacity at Constant Volume+[R])/Molar Specific Heat Capacity at Constant Volume)-1)

Degree of Freedom given Molar Heat Capacity at Constant Volume and Pressure

Go Degree of Freedom = 2/((Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume)-1)

Degree of Freedom given Ratio of Molar Heat Capacity

Go Degree of Freedom = 2/(Ratio of Molar Heat Capacity-1)

Degree of Freedom in Non-Linear Molecule

Go Degree of Freedom = (6*Atomicity)-6

Degree of Freedom in Linear Molecule

Go Degree of Freedom = (6*Atomicity)-5

Degree of Freedom given Molar Heat Capacity at Constant Volume and Pressure Formula

Degree of Freedom = 2/((Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume)-1)
F = 2/((C_p/C_v)-1)

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 Degree of Freedom given Molar Heat Capacity at Constant Volume and Pressure?

Degree of Freedom given Molar Heat Capacity at Constant Volume and Pressure calculator uses Degree of Freedom = 2/((Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume)-1) to calculate the Degree of Freedom, The Degree of Freedom given Molar Heat Capacity at constant volume and pressure is the number of variables required to describe the motion of a particle completely. Degree of Freedom is denoted by F symbol.

How to calculate Degree of Freedom given Molar Heat Capacity at Constant Volume and Pressure using this online calculator? To use this online calculator for Degree of Freedom given Molar Heat Capacity at Constant Volume and Pressure, enter Molar Specific Heat Capacity at Constant Pressure (C_p) & Molar Specific Heat Capacity at Constant Volume (C_v) and hit the calculate button. Here is how the Degree of Freedom given Molar Heat Capacity at Constant Volume and Pressure calculation can be explained with given input values -> 10.84211 = 2/((122/103)-1).

FAQ

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

The Degree of Freedom given Molar Heat Capacity at constant volume and pressure is the number of variables required to describe the motion of a particle completely and is represented as F = 2/((C_p/C_v)-1) or Degree of Freedom = 2/((Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume)-1). 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 Degree of Freedom given Molar Heat Capacity at Constant Volume and Pressure?

The Degree of Freedom given Molar Heat Capacity at constant volume and pressure is the number of variables required to describe the motion of a particle completely is calculated using Degree of Freedom = 2/((Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume)-1). To calculate Degree of Freedom given Molar Heat Capacity at Constant Volume and Pressure, you need Molar Specific Heat Capacity at Constant Pressure (C_p) & Molar Specific Heat Capacity at Constant Volume (C_v). 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 Degree of Freedom?

In this formula, Degree of Freedom uses Molar Specific Heat Capacity at Constant Pressure & Molar Specific Heat Capacity at Constant Volume. We can use 5 other way(s) to calculate the same, which is/are as follows -

Degree of Freedom = 2/(Ratio of Molar Heat Capacity-1)
Degree of Freedom = (6*Atomicity)-5
Degree of Freedom = (6*Atomicity)-6
Degree of Freedom = 2/((Molar Specific Heat Capacity at Constant Pressure/(Molar Specific Heat Capacity at Constant Pressure-[R]))-1)
Degree of Freedom = 2/(((Molar Specific Heat Capacity at Constant Volume+[R])/Molar Specific Heat Capacity at Constant Volume)-1)

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