Based on the description of the particle model and the changes in temperature as heat energy is added, the most likely best representation of the particle model you described (with loosely packed particles that vibrate significantly) corresponds to the states of matter represented in the graph.
-
Loosely packed particles that vibrate significantly describes a liquid state of matter, as liquids have a definite volume but take the shape of their container. The particles in liquids are closer together than in gases, but still have the ability to move, allowing for vibration.
-
In the context of the graph titled "Temperature of Water as Energy Is Added," the initial part of the graph from point A to point B represents the heating of ice (solid state). The plateau between point C and point E represents the phase change from solid (ice) to liquid (water), where temperature remains constant as the ice melts. Finally, the rise from point E to point F reflects the heating of liquid water.
Since the particle model best represents a liquid and we are looking for two points that correspond to the temperature during the existence of water in its liquid state:
- Point D (temperature where water is just beginning to be in the liquid state after ice has melted).
- Point E (temperature near the end of phase change after ice has fully melted into water).
Thus, the two points on the graph that this model best represents are D and E.