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# Thermal Energy Formula

Thermal energy is responsible for the temperature of a system, and is considered as a part of the total energy of a system that is the sum of potential energy and kinetic energy. Sometimes it is termed as internal energy. The notation for thermal energy is Q. It can be directly proportional to the mass of a substance, specific heat and the temperature difference. SI unit of thermal energy is Joules(J). The formula for finding thermal energy is given as,

Where Q is the thermal energy, m is the mass of the given substance, c is the specific heat and ΔT is the temperature difference.

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## Thermal Energy Problems

Let us discuss the problems of thermal energy.

### Solved Examples

Question 1: Calculate the thermal energy of a substance whose mass is 3kg and specific heat is 0.038J/kg°C. The temperature difference of this system is given as 60°C?
Solution:

From the question, it is clear that,
m = 3kg, c = 0.038J/kg°C, ΔT = 60°C
The formula for thermal energy is
Q = mc$\Delta$T
Q = 3$\times$0.038$\times$60 = 6.84J

Question 2: 2kg substance undergo a temperature difference of 50°C whose specific heat is 0.05J/kg°C, calculate the thermal energy?
Solution:

From the question, it is clear that,
m = 2kg, c = 0.05J/kg°C, ΔT = 50°C
The formula for thermal energy is
Q = mc$\Delta$T
Q = 2$\times$0.05$\times$50 = 5J

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