You are heating crushed ice and a small amount of water and monitoring the temperature of the icy slurry until it reaches the point were the ice is nearly melted. How does the temperature change during this process?

The temperature drops as the ice absorbs the heat and liquefies.
The temperature stays at exactly 100°C.
The temperature stays at constant throughout.<<<<>
The temperature goes up sharply as you heat the icy water.

It stays at constant 100 deg C as long as it is and ice/water mixture.

The temperature decreases as you continuously heat the icy slurry until the ice is nearly melted. In this process, the significant temperature change occurs because the heat you are adding is primarily used to break the hydrogen bonds holding the ice molecules in a solid state. As the ice absorbs heat energy, its temperature rises until it reaches its melting point of 0°C (32°F). At this point, further addition of heat does not result in an increase in temperature. Instead, the heat energy is used to break the hydrogen bonds completely, causing the ice to change state from a solid to a liquid. During this phase transition, the temperature remains constant until all the ice is melted. Once all the ice has melted, further addition of heat will cause the temperature of the water to increase as expected. So, in the scenario you described, the correct answer is: "The temperature stays constant throughout."