Heat and temperature are distinct concepts in thermodynamics, with temperature being a measure of a material's thermal energy and heat referring to the transfer of that energy between materials. Temperature is an intensive property, while heat is extensive, meaning that doubling the amount of material at the same temperature results in double the heat. The discussion highlights that while air can have a higher temperature than boiling water, the water can transfer heat more effectively due to its better thermal conductivity. Additionally, the concept of entropy is introduced, describing it as a measure of disorder that behaves like a fluid under pressure, influencing the flow of heat. Understanding these differences is crucial for grasping thermodynamic principles.