Question

Assignment 2 (semifinals / finals SHS) 1. Calculate \( \Delta \mathrm{G}^{\circ} \) for the general reaction \( \mathrm{MCO}_{3}(\mathrm{~s}) \rightarrow \mathrm{MO}(\mathrm{s})+\mathrm{CO}_{2}(\mathrm{~g}) \) at \( 25^{\circ} \mathrm{C} \), where \( \mathrm{M} \) is \( \mathrm{Mg} \) or \( \mathrm{Ba} \). At what temperature does each of these reactions become spontaneous? \begin{tabular}{ccc} \hline Compound & \( \Delta \mathrm{H}_{\mathrm{f}}(\mathrm{kJ} / \mathrm{mol}) \) & \( \mathrm{S}^{\circ}[\mathrm{J} /(\mathrm{mol} \cdot \mathrm{K})] \) \\ \hline \( \mathrm{MCO}_{3} \) & & \\ \( \mathrm{Mg} \) & -1111 & 65.85 \\ \( \mathrm{Ba} \) & -1213.0 & 112.1 \\ \( \mathrm{MO} \) & & 27.0 \\ \( \mathrm{Mg} \) & -601.6 & 72.1 \\ \( \mathrm{Ba} \) & -548.0 & 213.8 \end{tabular}

          Assignment 2 (semifinals / finals SHS)
1. Calculate \( \Delta \mathrm{G}^{\circ} \) for the general reaction \( \mathrm{MCO}_{3}(\mathrm{~s}) \rightarrow \mathrm{MO}(\mathrm{s})+\mathrm{CO}_{2}(\mathrm{~g}) \) at \( 25^{\circ} \mathrm{C} \), where \( \mathrm{M} \) is \( \mathrm{Mg} \) or \( \mathrm{Ba} \). At what temperature does each of these reactions become spontaneous?
\begin{tabular}{ccc}
\hline Compound & \( \Delta \mathrm{H}_{\mathrm{f}}(\mathrm{kJ} / \mathrm{mol}) \) & \( \mathrm{S}^{\circ}[\mathrm{J} /(\mathrm{mol} \cdot \mathrm{K})] \) \\
\hline \( \mathrm{MCO}_{3} \) & & \\
\( \mathrm{Mg} \) & -1111 & 65.85 \\
\( \mathrm{Ba} \) & -1213.0 & 112.1 \\
\( \mathrm{MO} \) & & 27.0 \\
\( \mathrm{Mg} \) & -601.6 & 72.1 \\
\( \mathrm{Ba} \) & -548.0 & 213.8
\end{tabular}

Assignment 2 (semifinals / finals SHS)
1. Calculate ΔG^∘ for the general reaction MCO3( s) →MO(s)+CO2( g) at 25^∘C, where M is Mg or Ba. At what temperature does each of these reactions become spontaneous?

Compound ΔHf(kJ / mol) S^∘[J /(mol·K)]

MCO3

Mg -1111 65.85

Ba -1213.0 112.1

MO 27.0

Mg -601.6 72.1

Ba -548.0 213.8

Added by Joshua T.

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