You are provided with the following ` Delta G^(@) ` values :
` S_ 8 + 2 O _2 to 2 SO_2 , DeltaG^(@) ` at 1073K = - 544 kJ
` 2Zn + S_2 to 2ZnS , Delta G^(@) ` at 1073K = -293kJ
`2Zn + O _2 to 2 ZnO , DeltaG^(@) ` at 1073K = -480kJ
Calculate ` Delta G ^(@) ` at 1073 K for the following reaction at this remperature,
` 2ZnS + 3 O _2 to 2 ZnO + 2 SO _ 2 `
and predict whether this reaction is thermodynamically feasible or not.

Explanation

To calculate \( \Delta G^\circ \) for the reaction \( 2 \text{ZnS} + 3 \text{O}_2 \rightarrow 2 \text{ZnO} + 2 \text{SO}_2 \) at 1073 K, we can use the values provided for \( \Delta G^\circ \) of the individual reactions.

### Step 1: Write down the provided \( \Delta G^\circ \) values
1. \( \text{S}_8 + 2 \text{O}_2 \rightarrow 2 \text{SO}_2 \), \( \Delta G^\circ = -544 \, \text{kJ} \)
2. \( 2 \text{Zn} + \text{S}_2 \rightarrow 2 \text{ZnS} \), \( \Delta G^\circ = -293 \, \text{kJ} \)
3. \( 2 \text{Zn} + \text{O}_2 \rightarrow 2 \text{ZnO} \), \( \Delta G^\circ = -480 \, \text{kJ} \)

### Step 2: Rearrange the reactions to match the target reaction
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