To accurately compare the thermal energy and particle movement of the lake water and the coffee, we need to consider both the temperature and the volume of each substance.
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Total Thermal Energy: Thermal energy is a function of temperature and the number of particles (which is related to volume). The lake, being large and cold, has a much greater volume and therefore more total thermal energy than a cup of hot coffee, even if the coffee is at a higher temperature.
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Particle Movement: The temperature of a substance is directly related to the average kinetic energy of its particles. Since the coffee is hot, its particles are moving faster than those in the cold lake water.
Putting these points together, the accurate comparison is:
The lake will have more total thermal energy, but the particles in the coffee will be moving faster.
So the correct response is the first one provided: "The lake will have more total thermal energy, but the particles in the coffee will be moving faster."