Heat Capacity Calculator

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✖Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it.ⓘ Mass [Mass_{flight path}]			+10% -10%
✖Specific Heat Capacity is the heat required to raise the temperature of the unit mass of a given substance by a given amount.ⓘ Specific Heat Capacity [c]			+10% -10%
✖The Change in Temperature is the difference between the initial and final temperature.ⓘ Change in Temperature [∆T]			+10% -10%

✖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 [C]

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Formula

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Heat Capacity

Formula

`"C" = "Mass"_{"flight path"}*"c"*"∆T"`

Example

`"7.4E^6J/K"="35.45kg"*"4.184kJ/kg*K"*"50K"`

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Download Kinetic Theory of Gases Formula PDF

Heat Capacity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Heat Capacity = Mass*Specific Heat Capacity*Change in Temperature
C = Mass_{flight 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 is 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 = Mass_{flight 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)

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Home » Chemistry » Kinetic Theory of Gases » Equipartition Principle and Heat Capacity » Heat Capacity

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

Akshada Kulkarni has verified this Calculator and 900+ more calculators!

< 24 Equipartition Principle and Heat Capacity Calculators

Internal Molar Energy of Non-Linear Molecule

Go Molar Internal Energy = ((3/2)*[R]*Temperature)+((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)))+((3*Atomicity)-6)*([R]*Temperature)

Average Thermal Energy of Non-linear Polyatomic Gas Molecule

Go Thermal Energy = ((3/2)*[BoltZ]*Temperature)+((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)))+((3*Atomicity)-6)*([BoltZ]*Temperature)

Average Thermal Energy of Linear Polyatomic Gas Molecule

Internal Molar Energy of Linear Molecule

Rotational Energy of Non-Linear Molecule

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

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

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

Go Vibrational Energy = ((Momentum of Harmonic Oscillator^2)/(2*Mass))+(0.5*Spring Constant*(Change in Position^2))

Average Thermal Energy of Non-linear polyatomic Gas Molecule given Atomicity

Go Thermal Energy given Atomicity = ((6*Atomicity)-6)*(0.5*[BoltZ]*Temperature)

Average Thermal Energy of Linear Polyatomic Gas Molecule given Atomicity

Go Thermal Energy given Atomicity = ((6*Atomicity)-5)*(0.5*[BoltZ]*Temperature)

Total Kinetic Energy

Go Total Energy = Translational Energy+Rotational Energy+Vibrational Energy

Specific Heat Capacity given heat capacity

Go Specific Heat Capacity = Heat Capacity/(Mass*Change in Temperature)

Internal Molar Energy of Non-Linear Molecule given Atomicity

Go Molar Internal Energy = ((6*Atomicity)-6)*(0.5*[R]*Temperature)

Internal Molar Energy of Linear Molecule given Atomicity

Go Molar Internal Energy = ((6*Atomicity)-5)*(0.5*[R]*Temperature)

Heat Capacity

Go Heat Capacity = Mass*Specific Heat Capacity*Change in Temperature

Molar Vibrational Energy of Non-Linear Molecule

Go Vibrational Molar Energy = ((3*Atomicity)-6)*([R]*Temperature)

Molar Vibrational Energy of Linear Molecule

Go Vibrational Molar Energy = ((3*Atomicity)-5)*([R]*Temperature)

Vibrational Energy of Non-Linear Molecule

Go Vibrational Energy = ((3*Atomicity)-6)*([BoltZ]*Temperature)

Vibrational Energy of Linear Molecule

Go Vibrational Energy = ((3*Atomicity)-5)*([BoltZ]*Temperature)

Heat Capacity given Specific Heat Capacity

Go Heat Capacity = Specific Heat Capacity*Mass

Number of Modes in Non-Linear Molecule

Go Number of Normal modes for Non Linear = (6*Atomicity)-6

Vibrational Mode of Non-Linear Molecule

Go Number of Normal modes = (3*Atomicity)-6

Vibrational Mode of Linear Molecule

Go Number of Normal modes = (3*Atomicity)-5

Number of Modes in Linear Molecule

Go Number of Modes = (6*Atomicity)-5

Heat Capacity Formula

Heat Capacity = Mass*Specific Heat Capacity*Change in Temperature
C = Mass_{flight 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 (Mass_{flight 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 = Mass_{flight 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 is 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 (Mass_{flight 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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