When the oxide of generic metal M is heated at 25 C, only a neglible amount of M

Question

When the oxide of generic metal M is heated at 25 C, only a neglible amount of M is produced.

MO2(s)---> <----- M(s)+O2(g) ; delta G=288.2 KJ/mol

When this reaction is coupled to the conversation of graphite to carbon dioxide, it becomes spontaneous.

What is the chemical equation of this coupled process? Show that the reaction is in equilibrium, include physical states, and represent graphite as C(s).

___________________?

What is the thermodynamic equilibrium constant for the coupled reaction?

K=_____________

Explanation / Answer

O2M(s)+ C(s) ----> M(s) + CO2(g)

I would add 288.9 to dGof for CO2 of -394.4 for -105.5 kJ/mol for the reaction you show. Then
(105,500/8.314*298) = lnK and i get a huge number for K. Somethng like 3.1E18

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