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The Gibbs free energy of formation of $M O$ and $C O$ at temperature $1000 ° C$ and $1900 ° C$ are given below:
$2 M + O_{2} \to 2 M O ∆ G_{1000^{°} C} = - 921 K J / m o l ∆ G_{1900^{°} C} = - 300 K J / m o l 2 C + O_{2} \to 2 C O ∆ G_{1000^{°} C} = - 432 K J / m o l ∆ G_{1900^{°} C} = - 624 K J / m o l$
$M O + C \overset{∆}{\to} M + C O ↑$
This reaction is feasible at temperature :

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$1900 ° C$

$1000 ° C$

$900 ° C$

$1200 ° C$

answer is A.

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Detailed Solution

Oxidation of $C$ to $C O$ has more $- V e ∆ G$ at $1900 º C$ . Than that of oxidation of $M$ to $M O$ at $1900 º C$ hence $M O + C \to M + C O$ , is feasible at $1900 º C$

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