Graph of the relationship between mass and thermal energy

Thermal energy is the sum of the kinetic and potential energies of all the particles in an object.

Assume that you have 250 gL of water and 1 kg of water at the same temperature.

Then, each water molecule has the same kinetic energy.

The larger sample contains four times as many molecules, so it contains four times as much thermal energy.

Thus, thermal energy is directly proportional to mass.

In symbols, KE ∝ m or KE = km.

The graph of a direct proportion is a straight line passing trough the origin.

It should look something like the graph below.

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