Phase diagrams and the lever rule

Which equation represents a peritectic reaction? Write it in the direction of cooling.

  1. AL → α + β
  2. Bγ → α + β
  3. CL + α → β
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Answer: C. L + α → β

A peritectic reaction is one in which, on cooling, the liquid L reacts with a previously formed solid α to produce a different solid β: L + α → β. The name comes from the new β phase forming around the α grains as if wrapping them. In the Fe-C system δ + L → γ occurs at about 1495 °C, and peritectics are common in the Cu-Zn and Cu-Sn systems. L → α + β is the eutectic reaction, in which two solids form simultaneously from the liquid, and γ → α + β is the eutectoid reaction, in which two solids form from a solid (such as γ → α + Fe₃C in the Fe-C system). In a peritectic reaction, the β product coats the α and hinders diffusion, so in real solidification the reaction does not go to completion and α tends to remain.

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  1. Which statement about the eutectoid point of the Fe-Fe₃C phase diagram is correct?
  2. 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.
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  4. 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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