Thermal energy is the energy that exists in a system due to the kinetic energy of the particles that make up the system. The amount of thermal energy in a system is dependent on the temperature of the system. The higher the temperature, the higher the thermal energy. The formula for thermal energy is:

**E = n*C*T**

**Where:**

**E** is the thermal energy (in joules)

**n** is the number of particles in the system

**C** is the specific heat capacity of the substance

**T** is the temperature of the system (in Kelvin)

## How to calculate thermal energy

Thermal energy is the energy that exists in a system due to its temperature. The amount of thermal energy in a system depends on its temperature and the number of particles in the system. Thermal energy is measured in joules (J).

The **formula for thermal energy is given by**, Q = mcΔT, where Q is the thermal energy, m is the mass of the system, c is the specific heat capacity of the system, and ΔT is the change in temperature of the system.

In order to calculate the thermal energy of a system, we must first know its mass, specific heat capacity, and temperature. We can then plug these values into the formula and solve for Q.

**Here is an example:**

- A pot of water has a mass of 1 kg and a specific heat capacity of 4.184 J/kg°C. The water is heated from 20°C to 80°C. What is the change in thermal energy of the water?

**We can use the formula Q = mcΔT to calculate the change in thermal energy**. In this case, Q = (1 kg)(4.184 J/kg°C)(80°C – 20°C). This simplifies to Q = 334.56 J.

Therefore, the change in thermal energy of the water is 334.56 J.

The thermal energy equation is given as **Q=mcΔT**. Where Q is the symbol for heat transfer, m is the mass of the substance, and ΔT is the change in temperature. The symbol c stands for specific heat and depends on the material and phase.

We can use this equation to calculate power, by rearranging to solve for Q and plugging in the values for our other variables.

First, we need to isolate Q on one side of the equation. We can do this by dividing both sides by m:

**Q/m = cΔT**

Now we can rearrange this equation to solve for power, by multiplying both sides by m and then dividing by ΔT:

**P = mQ/ΔT**

Where P is power, m is mass, Q is heat transfer, and ΔT is the change in temperature.

We can plug in our values for each variable to calculate the power output.

## How do you calculate thermal energy in joules?

Thermal energy is the amount of heat stored in an object. It is related to the object’s temperature, and it is a form of energy that can be transferred from one object to another. The SI unit for thermal energy is the joule (J).

**There are three ways to calculate the amount of thermal energy in an object:**

**The first way**is to multiply the mass of the object by its specific heat capacity and by the amount of temperature change. This formula is written H = mcΔT, where ΔT means “change in temperature.”**The second way**is to use the formula Q = mcΔT, where Q is the symbol for thermal energy. This formula states that thermal energy is equal to mass times specific heat capacity times temperature change.**The third way**to calculate thermal energy is to use the equation E = 1/2 mv2, where E is the symbol for thermal energy, m is the mass of the object, and v is the speed of sound in the object. This equation states that thermal energy is equal to one-half mass times velocity squared.

For this example, we will use the first method to calculate the thermal energy of an object. To do this, we need to know three things: the mass of the object, its specific heat capacity, and the amount of temperature change. For our example, we will use a 500 gram object with a specific heat capacity of 4.19 and a temperature change of 20 degrees Celsius.

**To calculate the thermal energy**, we will multiply the mass of the object by its specific heat capacity and by the amount of temperature change. This formula is written H = mcΔT, where ΔT means “change in temperature.” For this example, this would be 500g x 4.19 x 20, or 41,900 joules.

## What is the formula of thermal energy?

**The thermal energy formula is given by, Q = mcΔT.**

Thermal energy is the amount of heat contained within an object. It is typically measured in joules or calories. Heat is the transfer of thermal energy between objects that are at different temperatures. The formula for thermal energy is given by, Q = mcΔT.

**Where:**

- Q is the amount of thermal energy (in joules or calories)
- m is the mass of the object (in grams)
- c is the specific heat capacity of the object (in joules per gram per degree Celsius)
- ΔT is the change in temperature of the object (in degrees Celsius)

For example, if you have a cup of water with a mass of 100 grams and a specific heat capacity of 4.184 joules per gram per degree Celsius, and you want to know how much thermal energy is needed to raise the temperature of the water by 10°C, you would use the following equation:

**Q = mcΔT**

**Q = (100 grams)(4.184 joules/gram°C)(10°C) Q = 418.4 joules**

## How do you calculate thermal energy of water?

The specific heat capacity of water is 4.18 J/g/°C. We wish to determine the value of Q – the quantity of heat. To do so, we would use the equation Q = m•C•ΔT. The m and the C are known; the ΔT can be determined from the initial and final temperature.

**To calculate the quantity of heat (Q) required to change the temperature of water (m), we use the equation:**

- Q = m x C x ΔT

**Where:**

- m = the mass of water in grams (g)
- C = the specific heat capacity of water, 4.18 J/g °C
- ΔT = the change in temperature in degrees Celsius (°C)

**For example, **if we have 1 kg (1000 g) of water and we want to increase its temperature by 10 °C:

Q = 1000 g x 4.18 J/g °C x 10 °C

Q = 41800 Joules (J)

## How do you calculate thermal energy from kinetic and potential energy?

**The answer depends on what specific information you have about the system.** If you know the mass, velocity, and height of the object, you can use the following equation to calculate the thermal energy:

Ug=mgh

Where **Ug** is the object’s thermal energy, **m** is its mass, **g** is the acceleration due to gravity, and **h** is its height above the ground. If you know the object’s initial and final velocities, you can use the following equation to calculate the change in its kinetic energy:

ΔK= ½m(vf^{2}-vi^{2})

Where **ΔK** is the change in kinetic energy, **m** is the object’s mass, **vf** is its final velocity, and **vi** is its initial velocity. You can then add the change in kinetic energy to the change in potential energy to find the total change in energy of the system:

Wnc=ΔU+ΔK.

**(Wnc**, or work done by non-conservative forces, must be zero for a closed system.) If you know the distance over which the object moves, you can use the following equation to find the work done by friction:

Wfriction=Fd.

#### The answer depends on what specific information you have about the system.

**If you know the mass, velocity, and height of the object**, you can use the following equation to calculate the thermal energy:

Ug=mgh

Where **Ug** is the object’s thermal energy, **m**. Is its mass,. **.G. Is the acceleration due to gravity,. And h is its height above ground level.**

If you know an object’s initial and final velocities, you can use following equation to calculate changes in its kinetic energy:.

ΔK= ½m(vf squared-vi squared)

**Where ΔK is changes in kinetic energy,. M is mass,. VF is its final velocity,. VI is its initial velocity**. You can then add changes in kinetic energy to changes in potential energy to find total changes in system’s energy:.

Wnc=ΔU+ΔK.

(Wnc or work done by non Conservative forces must be equal to zero for a close system).