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The distinction between heat and temperature is but very important. Heat refers to the transfer of energy between systems (or bodies), whereas temperature is determined by the energy within a singular system (or body). In other words, heat is energy, while temperature is a measure of energy. Adding heat will increase a body's temperature while removing heat will lower the temperature, thus changes in temperature are the result of the presence of heat, or , the lack of heat.
Particles have more energy at higher temperatures, and as this energy is transferred from one system to another, the fast-moving particles will collide with slower moving particles. As they collide, the faster particle will transfer some of its energy to the slower particle, and the process will continue until all the particles are at the same rate. This is called thermal equilibrium.