Question:

For a reaction,
\(4\mathrm{M(s)}+n\mathrm{O_2(g)}\rightarrow2\mathrm{M_2O_n(s)}\)
the free energy change is plotted as a function of temperature. The temperature below which the oxide is stable could be inferred from the plot as the point at which :

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An oxide is thermodynamically stable (formed spontaneously) when \(\Delta G \lt 0\); find where \(\Delta G\) of formation crosses zero.
Updated On: Nov 5, 2026
  • the free energy change shows a change from negative to positive value
  • the slope changes from positive to negative
  • the slope changes from negative to positive
  • the slope changes from positive to zero
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The Correct Option is A

Solution and Explanation

Formation of the oxide consumes gas: \(\Delta S \lt 0\), so \(\Delta G=\Delta H-T\Delta S\) increases with temperature (Ellingham line with positive slope).
At low temperature \(\Delta G \lt 0\): the oxide is stable (formation is spontaneous). As T rises, \(\Delta G\) becomes less negative and eventually crosses zero (negative to positive); above this temperature the oxide decomposes.
Hence the temperature below which the oxide is stable is the point where \(\Delta G\) changes from negative to positive value. Changes of slope only mark phase changes (melting/boiling) of M or the oxide, not stability.
Answer: (1) the free energy change shows a change from negative to positive value
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