Final answer:
Lauren should smash the sugar cube into smaller pieces, dissolve it in hot water, and stir. This increases the surface area and the hot water speeds up the dissolution process.
Step-by-step explanation:
Break the sugar cube into smaller pieces, put it into hot water, and stir it. Not only does this increase the surface area in contact with the water, but the use of hot water also increases the solubility of sugar.
Why this is the best option involves the concept of dissolution rate, which is how quickly a solute, in this case sugar, dissolves in a solvent like water. Several factors can affect this rate: the size of the sugar pieces, the temperature of the water, and the amount of agitation.
Breaking up the sugar cube increases the surface area, allowing more water to come into contact with more sugar at once. Hot water contains more energy, which helps to break bonds between sugar molecules, allowing them to disperse into the solvent more rapidly. Finally, stirring creates agitation, facilitating the movement of solvent molecules around the solute, and preventing saturation of solution right next to the solute.