Final answer:
The rate of nucleation increases as ∆T (delta T) increases due to higher temperatures enhancing molecular energy and movement. Elevated temperatures lead to more molecules overcoming activation energy, resulting in increased reaction rates and matter dispersal.
Step-by-step explanation:
Nucleation and growth in materials science are processes that are driven by temperature changes. As ∆T (delta T) increases, which means there is a larger temperature difference, the rate of nucleation also increases. This is because higher temperatures increase the energy of the molecules, leading to a greater movement of these molecules and hence, an increased diffusion rate. An everyday example of this phenomenon is how sugar dissolves more rapidly in hot water compared to cold.
Understanding the nucleation and growth mechanism is complicated due to the numerous simultaneous chemical reactions affected by temperature. However, a higher temperature typically results in a greater portion of molecules that have enough energy to overcome the activation energy barrier, leading to a faster reaction rate. Additionally, higher temperatures generally result in a net increase in the dispersal of matter, as seen in phase transitions from solid to liquid.