Chapter 9: Problem 29
What is the difference between a phase and a microconstituent?
Chapter 9: Problem 29
What is the difference between a phase and a microconstituent?
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Get started for freeWhat is the proeutectoid phase for an iron-carbon alloy in which the mass fractions of total ferrite and total cementite are \(0.92\) and \(0.08\), respectively? Why?
Compute the mass fractions of proeutectoid ferrite and pearlite that form in an iron-carbon alloy containing \(0.25 \mathrm{wt} \% \mathrm{C}\).
Often, the properties of multiphase alloys may be approximated by the relationship $$ E(\text { alloy })=E_{\alpha} V_{\alpha}+E_{\beta} V_{\beta} $$ where \(E\) represents a specific property (modulus of elasticity, hardness, etc.), and \(V\) is the volume fraction. The subscripts \(\alpha\) and \(\beta\) denote the existing phases or microconstituents. Employ this relationship 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.
Is it possible to have an iron-carbon alloy for which the mass fractions of total cementite and pearlite are \(0.039\) and 0.417, respectively? Why or why not?
A hypothetical A-B alloy of composition \(55 \mathrm{wt} \%\) B-45 \(\mathrm{wt} \% \mathrm{~A}\) at some temperature is found to consist of mass fractions of \(0.5\) for both \(\alpha\) and \(\beta\) phases. If the composition of the \(\beta\) phase is \(90 \mathrm{wt} \%\) B-10 \(\mathrm{wt} \% \mathrm{~A}\), what is the composition of the \(\alpha\) phase?
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