Final answer:
The amount of solid that can be recovered by crystallization from a solvent that holds 0.5g at room temperature and 6.0g at its boiling point is 5.5g.
Step-by-step explanation:
In this scenario, if a given solvent can hold 0.5g of solid at room temperature and 6.0g at its boiling point, the amount of solid that can be recovered by crystallization would be the difference between the maximum amount of solid the solvent can hold at its boiling point and the amount it can hold at room temperature.
Crystallization is a process where a solvent is saturated with a solute at a high temperature and then allowed to cool, precipitating the solute out of the solution as pure crystals. Since at boiling point, you can dissolve 6.0g of solid and only 0.5g at room temperature, you can recover 6.0g - 0.5g, which equals 5.5g of solid through crystallization.
To determine how much solid can be recovered by crystallization, we need to calculate the difference between the amount of solid that can be held by the solvent at room temperature and its boiling point. The difference is the amount of solid that will precipitate out during cooling.
Given that the solvent can hold 0.5g of solid at room temperature and 6.0g at its boiling point, the amount of solid that can be recovered is 6.0g - 0.5g = 5.5g.
Therefore, 5.5g of solid can be recovered by crystallization.