For the reaction 2HgO(s)→2Hg(l)+O2(g) :
The given reaction is
2HgO(s)→2Hg(l)+O2(l)
If the reaction is sufficiently exothermic.
It can force ΔG negative only at temperatures below which |TΔS| < |ΔH|.
This means that there is a temperature T=ΔHΔS
At which the reaction is at equilibrium.
The reaction will only proceed spontaneously below this temperature.
Hence,
ΔH < 0 and ΔS < 0
This is the required solution.