Yes, I am sure. Let's break it down:
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Total Thermal Energy: The lake contains a vast amount of water, and even though it is cold, its total thermal energy is much greater than that of a small cup of hot coffee. This is because thermal energy depends on both the temperature and the mass of the substance involved.
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Particle Movement: The coffee is hot, meaning its particles have a higher average kinetic energy and are moving faster than those in the cold lake water. The colder the water, the slower the movement of its particles.
So, in summary, even though the lake has more total thermal energy due to its larger mass, the particles in the hot coffee are moving faster because it is at a higher temperature. Therefore, the statement "The lake will have more total thermal energy, but the particles in the coffee will be moving faster" is accurate.