Final answer:
The 2-L bottle of water lost more heat because it had a greater mass, despite the same initial and final temperatures. Poor insulation in calorimeters causes greater apparent heat loss in reactions, and taking into account calorimeter heat capacity would lower the observed heat of dissolution. Thermal expansion is a key principle in various real-world applications.
Step-by-step explanation:
Concerning the first part of the question about heat loss in 500-mL and 2-L bottles of water, the second student's assertion is correct; the 2-L bottle lost more heat due to the greater amount of water. The errors in other responses are: the first student didn't consider the mass of water, the third ignored that heat loss is not directly proportional to the rate of cooling, and the fourth overlooked the idea that despite not knowing the exact temperatures, heat loss still depends on mass.
For calorimetry involving poor insulators, the measured amount of heat in reactions would appear greater because of additional heat loss to the surroundings. Taking into account the heat capacity of the calorimeter would make the measured heat of dissolution appear lesser because some of the heat is absorbed by the calorimeter itself.
In thermal expansion, as temperatures increase, the length, volume, or circumference of materials will generally increase, which is an important consideration in engineering, manufacturing, and climate science.