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The rate of heat transfer is directly related to the temperature difference between two objects or systems. This relationship is described by Fourier's law of heat conduction and Newton's law of cooling, among other principles in thermodynamics. When there is a greater temperature difference, the driving force for heat transfer increases, which means that heat will flow more readily from the hotter object to the cooler one.

As the temperature difference increases, the rate at which thermal energy is transferred also rises. This is because the greater thermal gradient prompts a stronger flow of thermal energy, leading to an increase in heat transfer. For example, if you place a hot object next to a cold one, the larger the difference in their temperatures, the faster the heat moves from the hot to the cold object until they reach thermal equilibrium.

Thus, when evaluating the impact of temperature difference on heat transfer rates, an increase in temperature difference will result in an increased rate of heat transfer. This understanding is crucial in various applications, from engineering designs involving heat exchangers to everyday scenarios like cooking or climate control.