Molar Heat Capacity at Constant Pressure given Degree of Freedom Solution

STEP 0: Pre-Calculation Summary
Formula Used
Molar Specific Heat Capacity at Constant Pressure = ((Degree of Freedom*[R])/2)+[R]
Cp = ((F*[R])/2)+[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 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.
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
Cp = ((F*[R])/2)+[R] --> ((2*[R])/2)+[R]
Evaluating ... ...
Cp = 16.6289252363065
STEP 3: Convert Result to Output's Unit
16.6289252363065 Joule Per Kelvin Per Mole --> No Conversion Required
FINAL ANSWER
16.6289252363065 16.62893 Joule Per Kelvin Per Mole <-- Molar Specific Heat Capacity at Constant Pressure
(Calculation completed in 00.004 seconds)

Credits

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University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
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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 Pressure given Degree of Freedom Formula

Molar Specific Heat Capacity at Constant Pressure = ((Degree of Freedom*[R])/2)+[R]
Cp = ((F*[R])/2)+[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 Pressure given Degree of Freedom?

Molar Heat Capacity at Constant Pressure given Degree of Freedom calculator uses Molar Specific Heat Capacity at Constant Pressure = ((Degree of Freedom*[R])/2)+[R] to calculate the Molar Specific Heat Capacity at Constant Pressure, The Molar Heat Capacity at constant pressure 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 pressure. Molar Specific Heat Capacity at Constant Pressure is denoted by Cp symbol.

How to calculate Molar Heat Capacity at Constant Pressure given Degree of Freedom using this online calculator? To use this online calculator for Molar Heat Capacity at Constant Pressure given Degree of Freedom, enter Degree of Freedom (F) and hit the calculate button. Here is how the Molar Heat Capacity at Constant Pressure given Degree of Freedom calculation can be explained with given input values -> 16.62893 = ((2*[R])/2)+[R].

FAQ

What is Molar Heat Capacity at Constant Pressure given Degree of Freedom?
The Molar Heat Capacity at constant pressure 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 pressure and is represented as Cp = ((F*[R])/2)+[R] or Molar Specific Heat Capacity at Constant Pressure = ((Degree of Freedom*[R])/2)+[R]. 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 Pressure given Degree of Freedom?
The Molar Heat Capacity at constant pressure 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 pressure is calculated using Molar Specific Heat Capacity at Constant Pressure = ((Degree of Freedom*[R])/2)+[R]. To calculate Molar Heat Capacity at Constant Pressure 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 Pressure?
In this formula, Molar Specific Heat Capacity at Constant Pressure uses Degree of Freedom. We can use 5 other way(s) to calculate the same, which is/are as follows -
  • Molar Specific Heat Capacity at Constant Pressure = (((3*Atomicity)-2.5)*[R])+[R]
  • Molar Specific Heat Capacity at Constant Pressure = (((3*Atomicity)-3)*[R])+[R]
  • Molar Specific Heat Capacity at Constant Pressure = (Isothermal Compressibility/Isentropic Compressibility)*Molar Specific Heat Capacity at Constant Volume
  • Molar Specific Heat Capacity at Constant Pressure = ((Volumetric Coefficient of Thermal Expansion^2)*Temperature)/((Isothermal Compressibility-Isentropic Compressibility)*Density)
  • Molar Specific Heat Capacity at Constant Pressure = (((Thermal Pressure Coefficient^2)*Temperature)/(((1/Isentropic Compressibility)-(1/Isothermal Compressibility))*Density))+[R]
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