Aluminum is initially melted at room temperature, 50°C above its melting temperature. Once this temperature is reached, it is poured into an open mold to form an ingot and allowed to cool in the environment until reaching a temperature equal to 50°C above ambient temperature. Determine: a. The mathematical expression that describes the heat exchange in each of the stages of this process. b. If we assume that 𝑐𝑝𝑙 = 𝑐𝑝𝑠 , and we neglect the volumetric changes of the piece, determine how much heat was exchanged in J during this process, if the final piece It has the following dimensions: 20 cm × 10 × cm × 100 cm. c. Draw the t vs t diagram for this process. d. How would this diagram change if instead of aluminum, a metal was used as the metal? aluminium alloy? and. Describe how the formation of grains would be if it is a sand mold. F. The mathematical expression to find the solidification time if it is a metal mold. What factors affect the change between a sand mold and a metal mold?