Final answer:
The aluminum, having a higher specific heat than iron, will undergo a greater heat change when both metals are heated and then cooled to the same temperatures due to its ability to absorb and release more energy for the same temperature change.
Step-by-step explanation:
The question pertains to the concept of heat transfer and the comparison of heat changes undergone by different materials with varying specific heats. When both a 75g piece of iron and a 75g piece of aluminum are heated to 99.7°C and then cooled to 21.5°C, the material with the higher specific heat will undergo the greater heat change. As aluminum has a higher specific heat (0.900 J/g°C) compared to iron (0.450 J/g°C), the aluminum sample will undergo a larger heat change since it can absorb or release more heat energy for the same change in temperature.
In the provided reference questions, the principle of conservation of energy is used to calculate final temperatures and identify materials based on specific heat capacities. These problems involve thermal equilibration where energy is transferred between materials until thermal equilibrium is reached, reflecting the typical high school level physics curriculum.