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1. The mass fraction of eutectoid ferrite in an iron-carbon alloy is 0.71. On the basis of this information, is it possible to determine the composition of the alloy? If so, what is its composition? If this is not possible, explain why.
2. For an iron-carbon alloy of composition 3 wt% C-97 wt% Fe, make schematic sketches of the microstructure that would be observed for conditions of very slow cooling at the where E represents a specific property (modulus of elasticity, hardness, etc.), and V is the volume fraction. The subscripts a and bdenote the existing phases or microconstituents. Em- ploy the relationship above to determine the approximate Brinell hardness of a 99.75 wt% Fe-0.25 wt% C alloy. Assume Brinell hard- nesses of 80 and 280 for ferrite and pearlite, respectively, and that volume fractions may be approximated by mass fractions.
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