. The Gibbs free energy of formation of MO and CO at temperature 1000° C and 1900° Care given below:
$\begin{array}{l} 2 M + O_{2} ⟶ 2 MO \\ 2 C + O_{2} ⟶ 2 CO \\ MO + C \overset{Δ}{⟶} M + CO ↑ \end{array} \begin{aligned} Δ G_{1000^{\circ} C} = - 921 kJ / mol \\ Δ G_{1900^{\circ} C} = - 300 kJ / mol \\ Δ G_{1000^{\circ} C} = - 432 kJ / mol \\ Δ G_{1900^{\circ} C} = - 624 kJ / mol \end{aligned}$
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

${ΔG}_{1900 \circ C} = \frac{300 + (- 624)}{2} kJ / mol = - 162 kJ / mol$

Here, gibbs energy at the temperature of 1900 degree celsius has negative value. Thus, the reaction is spontaneous at this temperature.

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