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Discussion

Consider the phase diagram given below.

Temperature-composition phase diagram from A through AB2 to B: a eutectic between A and AB2, and a liquidus rising towards B that meets a horizontal line at point Q, at the temperature where AB2 decomposes; the region above is labelled Liquid

At the intersection point Q the phases that are in equilibrium are

  • A.solid A, solid B and solid AB\(_{2}\)
  • B.solid A, solid AB\(_{2}\) and liquid
  • C.solid B, solid AB\(_{2}\) and liquid
  • D.solid A, solid B, solid AB\(_{2}\) and liquid

Answer: C

At Q, solid B, solid AB2 and liquid are in equilibrium.

The vertical line for AB2 does not reach the liquid region: it stops at a horizontal line, so AB2 melts incongruently. At that temperature AB2 decomposes into solid B and a liquid of composition Q. Q is the peritectic point, where the liquidus coming down from the B side meets the horizontal peritectic line.

On the peritectic line three phases coexist: solid B, solid AB2 and liquid of composition Q. With three phases in a two-component system at fixed pressure, there are no degrees of freedom left, which is why the line is horizontal.

Solid A is not involved at Q: A appears only at the eutectic on the left. A three-solid equilibrium, or a four-phase one, is impossible at an invariant point of a binary system.

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