Final answer:
To find the temperature change causing a volume increase in an aluminum cube, the formula ΔV = 3αVΔT is used, where ΔV is volume increase, V is the original volume, and α is the expansion coefficient. The temperature change is solved by rearranging the formula to ΔT = ΔV / (3αV).
Step-by-step explanation:
The question asks about the temperature change required to produce a specific increase in the volume of a cube of solid aluminum due to thermal expansion. The volume increase due to temperature in this context is given by: ΔV = 3αVΔT, where α is the linear expansion coefficient for aluminum, V is the initial volume, and ΔT is the temperature change. Substituting the given values and the volume coefficient for aluminum, we can solve for the temperature change.
To determine the change in volume (ΔV), which is 110 cm³ (or 0.000110 m³), and knowing the original volume (V) is 1.00 m³, we use the given formula and rearrange to solve for the temperature change (ΔT): ΔT = ΔV / (3αV). The linear expansion coefficient a for aluminum needs to be known to complete this calculation.