Heat Capacity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Heat Capacity = Mass*Specific Heat Capacity*Change in Temperature
C = Massflight path*c*∆T
This formula uses 4 Variables
Variables Used
Heat Capacity - (Measured in Joule per Kelvin) - The Heat Capacity is a physical property of matter, defined as the amount of heat to be supplied to a given mass of a material to produce a unit change in its temperature.
Mass - (Measured in Kilogram) - Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it.
Specific Heat Capacity - (Measured in Joule per Kilogram per K) - Specific Heat Capacity is the heat required to raise the temperature of the unit mass of a given substance by a given amount.
Change in Temperature - (Measured in Kelvin) - The Change in Temperature refers to the difference between the initial and final temperature.
STEP 1: Convert Input(s) to Base Unit
Mass: 35.45 Kilogram --> 35.45 Kilogram No Conversion Required
Specific Heat Capacity: 4.184 Kilojoule per Kilogram per K --> 4184 Joule per Kilogram per K (Check conversion ​here)
Change in Temperature: 50 Kelvin --> 50 Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
C = Massflight path*c*∆T --> 35.45*4184*50
Evaluating ... ...
C = 7416140
STEP 3: Convert Result to Output's Unit
7416140 Joule per Kelvin --> No Conversion Required
FINAL ANSWER
7416140 7.4E+6 Joule per Kelvin <-- Heat Capacity
(Calculation completed in 00.004 seconds)

Credits

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Created by Prerana Bakli
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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Equipartition Principle and Heat Capacity Calculators

Rotational Energy of Non-Linear Molecule
​ LaTeX ​ Go Rotational Energy = (0.5*Moment of Inertia along Y-axis*Angular Velocity along Y-axis^2)+(0.5*Moment of Inertia along Z-axis*Angular Velocity along Z-axis^2)+(0.5*Moment of Inertia along X-axis*Angular Velocity along X-axis^2)
Translational Energy
​ LaTeX ​ Go Translational Energy = ((Momentum along X-axis^2)/(2*Mass))+((Momentum along Y-axis^2)/(2*Mass))+((Momentum along Z-axis^2)/(2*Mass))
Rotational Energy of Linear Molecule
​ LaTeX ​ Go Rotational Energy = (0.5*Moment of Inertia along Y-axis*(Angular Velocity along Y-axis^2))+(0.5*Moment of Inertia along Z-axis*(Angular Velocity along Z-axis^2))
Vibrational Energy Modeled as Harmonic Oscillator
​ LaTeX ​ Go Vibrational Energy = ((Momentum of Harmonic Oscillator^2)/(2*Mass))+(0.5*Spring Constant*(Change in Position^2))

Heat Capacity Formula

​LaTeX ​Go
Heat Capacity = Mass*Specific Heat Capacity*Change in Temperature
C = Massflight path*c*∆T

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 Heat Capacity?

Heat Capacity calculator uses Heat Capacity = Mass*Specific Heat Capacity*Change in Temperature to calculate the Heat Capacity, The Heat Capacity is a physical property of matter, defined as the amount of heat to be supplied to a given mass of a material to produce a unit change in its temperature. Heat Capacity is denoted by C symbol.

How to calculate Heat Capacity using this online calculator? To use this online calculator for Heat Capacity, enter Mass (Massflight path), Specific Heat Capacity (c) & Change in Temperature (∆T) and hit the calculate button. Here is how the Heat Capacity calculation can be explained with given input values -> 7.4E+6 = 35.45*4184*50.

FAQ

What is Heat Capacity?
The Heat Capacity is a physical property of matter, defined as the amount of heat to be supplied to a given mass of a material to produce a unit change in its temperature and is represented as C = Massflight path*c*∆T or Heat Capacity = Mass*Specific Heat Capacity*Change in Temperature. Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it, Specific Heat Capacity is the heat required to raise the temperature of the unit mass of a given substance by a given amount & The Change in Temperature refers to the difference between the initial and final temperature.
How to calculate Heat Capacity?
The Heat Capacity is a physical property of matter, defined as the amount of heat to be supplied to a given mass of a material to produce a unit change in its temperature is calculated using Heat Capacity = Mass*Specific Heat Capacity*Change in Temperature. To calculate Heat Capacity, you need Mass (Massflight path), Specific Heat Capacity (c) & Change in Temperature (∆T). With our tool, you need to enter the respective value for Mass, Specific Heat Capacity & Change in Temperature 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 Heat Capacity?
In this formula, Heat Capacity uses Mass, Specific Heat Capacity & Change in Temperature. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Heat Capacity = Specific Heat Capacity*Mass
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