In which of the following cases will the sugar dissolve in a glass of water faster, and why?

Case 1: Water in the glass is cold
Case 2: Water in the glass is warm

Warm water has larger intermolecular spaces because its particles move farther apart when heated. This gives more room for sugar particles to slip in and mix with the water. In cold water, the intermolecular spaces are smaller, so sugar dissolves more slowly.