Problem: When the oxide of generic metal M is heated at 25°C, only a negligible amount of M is produced.MO2(s) ⇌ M(s) + O2(g)ΔG = 288.5 kJ/molWhen the reaction is coupled to the conversion of graphite to carbon dioxide, it becomes spontaneous.i) 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)?  ii) What is the thermodynamic equilibrium constant for the coupled reaction?

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When the oxide of generic metal M is heated at 25°C, only a negligible amount of M is produced.
MO2(s) ⇌ M(s) + O2(g)
ΔG = 288.5 kJ/mol

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

i) 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)?

ii) What is the thermodynamic equilibrium constant for the coupled reaction?

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