Final answer:
Heat absorbed by water is positive as it gains heat, heat released by the solution is negative as it loses heat, and change in temperature can be positive or negative, depending on the direction of the temperature change.
Step-by-step explanation:
To answer the question of sorting the quantities into positive or negative values, we first need to understand what each term represents. Heat absorbed by water is usually a positive value because heat energy is entering the water, causing its temperature to increase. Heat released by the solution is typically negative because it indicates that heat energy is being lost to the surroundings. The change in temperature can be either positive or negative, depending on whether the temperature increases or decreases.
When applying the relationship between heat, specific heat, mass, and temperature change, we can determine the direction of heat transfer. If the temperature increases, the change in temperature is positive, and the heat absorbed is positive. Conversely, if the temperature decreases, the change is negative, and the heat released would be negative.