A saucepan itself does not have energy, but it can be used to transfer and store thermal energy in the form of heat from a heat source to the contents being cooked.
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The hob transfers energy to the saucepan through conduction. When the hob is turned on, it generates heat which is transmitted to the saucepan through direct contact. This heat energy then raises the temperature of the saucepan and its contents.
The saucepan boiling on the stove uses thermal energy. This energy is transferred from the stove to the saucepan, heating the water inside until it boils.
The joules of energy added to a saucepan depend on the amount of heat applied. You can calculate it by multiplying the heat capacity of the saucepan by the temperature change and the mass of the substance being heated.
Conduction is the main process that transfers thermal energy through the metal saucepan. Heat is transferred from the heat source to the metal pan through direct contact of particles within the material.
Energy is transferred from the cooker to the liquid in the saucepan through conduction, where heat is transmitted from the hot surface of the cooker to the bottom of the saucepan by direct contact. This heat is then transferred to the liquid through convection, as the hot liquid rises and circulates, creating a convection current that heats the entire volume of liquid.