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Chapter 9: Problem 54

The mass fractions of total ferrite and total cementite in an iron-carbon alloy are \(0.88\) and \(0.12\), respectively. Is this a hypoeutectoid or hypereutectoid alloy? Why?

Short Answer

Expert verified
Explain your reasoning. Answer: The alloy is a hypereutectoid alloy because it has a carbon content of 0.804%, which is greater than the 0.77% threshold that separates hypoeutectoid and hypereutectoid alloys.

Step by step solution

01

Define hypoeutectoid and hypereutectoid alloys

Hypoeutectoid alloys are iron-carbon alloys that contain less than 0.77% (by weight) of carbon. In these alloys, the primary phase, i.e., the first solid phase that forms upon cooling, is ferrite. Hypereutectoid alloys are iron-carbon alloys that contain more than 0.77% (by weight) of carbon. In these alloys, the primary phase is cementite.
02

Calculate the total carbon content in the given alloy

We are given the mass fractions of ferrite and cementite in the alloy as 0.88 and 0.12, respectively. To find the total carbon content, we can use the mass fractions and the corresponding carbon contents in each phase. The carbon content in ferrite is negligible (almost 0%) and the carbon content in cementite is 6.70% (by weight). Using these values, we can calculate the total carbon content in the alloy: \((0.88 \times 0) + (0.12 \times 6.70) = 0.12 \times 6.70 = 0.804\)%.
03

Determine if the alloy is hypoeutectoid or hypereutectoid

Based on the carbon content calculated in the previous step, which is 0.804%, we can classify the given alloy. Since 0.804% is greater than 0.77%, the alloy is considered a hypereutectoid alloy. Therefore, the alloy is hypereutectoid because it has more than 0.77% carbon content.

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Most popular questions from this chapter

Is it possible to have a copper-silver alloy in which the mass fractions of primary \(\beta\) and to\(\operatorname{tal} \beta\) are \(0.68\) and \(0.925\), respectively, at \(775^{\circ} \mathrm{C}\) \(\left(1425^{\circ} \mathrm{F}\right) ?\) Why or why not?

(a) Briefly describe the phenomenon of coring and why it occurs. (b) Cite one undesirable consequence of coring.

Is it possible to have an iron-carbon alloy for which the mass fractions of total ferrite and proeutectoid cementite are \(0.846\) and \(0.049\), respectively? Why or why not?

At \(500^{\circ} \mathrm{C}\left(930^{\circ} \mathrm{F}\right)\), what is the maximum sollubility (a) of \(\mathrm{Cu}\) in \(\mathrm{Ag}\) ? (b) Of \(\mathrm{Ag}\) in \(\mathrm{Cu}\) ?

What thermodynamic condition must be met for a state of equilibrium to exist?
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