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For the following reaction,

2 Pb3O4(s) \(\rightleftharpoons\) 6 PbO(s) + O2(g)

The correct option showing the number of phases (P), number of components (C) and degrees of freedom (F) is

  • A.P = 3, C = 2, F = 1
  • B.P = 3, C = 3, F = 2
  • C.P = 2, C = 3, F = 3
  • D.P = 2, C = 2, F = 2

Answer: A

The correct option is P = 3, C = 2, F = 1.

  • Phases: Pb3O4(s), PbO(s) and O2(g). Each solid is a separate phase and the gas is one more, so P = 3.
  • Components: three species linked by one equilibrium, so C = 3 - 1 = 2 (for example PbO and O2).

\[ F = C - P + 2 = 2 - 3 + 2 = 1 \]

The system is univariant, like CaCO3 decomposing: fixing the temperature fixes the equilibrium O2 pressure. P = 3, C = 3 ignores the reaction relation. The options with P = 2 count the two solids as one phase, but two distinct solids are always two phases.

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