Final answer:
The glass of ice water filled to the brim will not overflow when the ice melts, because the melted ice occupies less volume than the ice did, due to the density changes during the phase transition. This relies on the principles of physics, specifically thermal equilibrium and density.
Step-by-step explanation:
The question you are asking relates to the physical properties of ice and water, and the behavior of a liquid in a glass filled to the brim with both ice and water. Specifically, the question seems to focus on whether water will overflow from the glass when the ice melts. This is a concept found in the study of Physics, dealing with the principles of thermal equilibrium and density changes during phase transitions.
The answer to whether a glass of ice water filled to the brim will overflow when the ice melts is generally false. When ice is floating in water, it displaces an amount of water equal to the weight of the ice. Because ice is less dense than water, when it melts, the resulting water occupies less volume than the ice did. Hence, the water level in the glass will not rise and will not overflow, assuming no additional water is added and evaporation is negligible.
The concept of thermal equilibrium is important here as well. Initially, the soda and ice have different temperatures and are not in thermal equilibrium. When they are mixed, heat will transfer from the soda to the ice, melting it until the temperature of the water and soda are equal. This strategic exchange of heat ensures that the final mixture will reach a consistent temperature.