Phase diagrams and the lever rule

Which statement about the eutectoid point of the Fe-Fe₃C phase diagram is correct?

  1. AAt about 0.76 wt% C and 727 °C, γ → α + Fe₃C occurs and pearlite forms
  2. BAt about 4.3 wt% C and 1147 °C, L → γ + Fe₃C occurs and lamellar pearlite forms
  3. CAt about 0.022 wt% C and 912 °C, γ → α occurs and bainite forms
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Answer: A. At about 0.76 wt% C and 727 °C, γ → α + Fe₃C occurs and pearlite forms

The eutectoid point of the Fe-Fe₃C system is at about 0.76 wt% C and 727 °C, where austenite (γ) transforms into pearlite, a lamellar structure of ferrite (α) and cementite (Fe₃C). The reaction at about 4.3 wt% C and 1147 °C is the eutectic reaction involving the liquid, and the structure it produces is ledeburite, not pearlite. 0.022 wt% C is the maximum solubility of carbon in α at 727 °C, and 912 °C is the γ → α transformation temperature of pure iron. Bainite does not appear on the equilibrium phase diagram; it is a nonequilibrium structure that forms from undercooled austenite in an intermediate temperature range. Steels with less carbon than the eutectoid composition are called hypoeutectoid, and those with more are called hypereutectoid.

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More Phase diagrams and the lever rule questions

  1. A 0.40 wt% C hypoeutectoid steel is cooled under equilibrium to just below 727 °C. Which value is closest to the mass fraction of proeutectoid ferrite? Take the eutectoid composition as 0.76 wt% C, the carbon content of ferrite at 727 °C as 0.022 wt% C, and cementite as 6.70 wt% C.
  2. When a 1.2 wt% C hypereutectoid steel is slowly cooled from the austenite region, what microstructure is obtained at room temperature?
  3. What is the main reason the maximum solubility of carbon is much larger in γ-iron (about 2.14 wt%) than in α-iron (about 0.022 wt%)?
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  5. When a Cu-Ni alloy is solidified with rapid cooling, as in actual casting, which correctly describes the composition at the center of a dendrite?