Often, the properties of multiphase alloys may be approximated by the relationship where E represents a specific

Question:

Often, the properties of multiphase alloys may be approximated by the relationship

where E represents a specific property (modulus of elasticity, hardness, etc.), and V is the volume fraction. The subscripts ? and ? denote the existing phases or micro constituents. Employ the relationship above to determine the approximate Brinell hardness of a 99.80 wt% Fe???0.20 wt% C alloy. Assume Brinell hardnesses of 80 and 280 for ferrite and pearlite, respectively, and that volume fractions may be approximated by mass fractions.