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Problem 2. 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 is allowed to cool at room temperature until it reaches a temperature equal to 50°C above room temperature. Determine:The mathematical expression that describes the heat exchange in each of the stages of this process.Assuming that c_(p_l )=c_(p_s ), and neglecting volumetric changes in the piece, determine how much heat was exchanged in J during this process, if the final piece has the following dimensions: 20 cm×10×cm×100 cm.Draw the t vs t diagram for this process.How would this diagram change if instead of aluminum, an aluminum alloy was used as the metal?Issue 3: Slow cooling was performed in the above issue;Draw what the expected microstructure would look like for this case.You want to use this ingot to produce a smaller diameter part, but you also want to improve its strength and malleability for future use.Which procedure of which you are aware would you recommend and why?Suppose we submit it to rolling, where the rollers have a radius of 250 mm and rotate initially at 20 rev·min-1 and enter the part with an initial speed of 26 m·min-1. Determine the speed Vr of the roller and the speed at the end of its passage through the piece, if the thickness was reduced by 5 cm (initially 20 cm) and we neglect the changes in the width of the piece.