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The factor of ΔG values is important in metallurgy. The ΔG values for the following reactions at 800ºC are given as: S2(s) + 2O2(g) → 2SO2(g); ΔG = -544 kJ 2Zn(s) + S2(g) → 2ZnS(s); ΔG = -293 kJ

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The factor of ΔG values is important in metallurgy. The ΔG values for the following reactions at 800ºC are given as: 

S2(s) + 2O2(g) → 2SO2(g); ΔG = -544 kJ

2Zn(s) + S2(g) → 2ZnS(s); ΔG = -293 kJ

2Zn(s) + O2(g) → 2ZnO(s); ΔG = -480 kJ

Then ΔG for the reaction :

2ZnS(s) + 3O2(g) → 2ZnO(s) + 2SO2(g)

will be:

(a) -357 kJ

(b) -731 kJ

(c) -773 kJ

(d) -229 kJ

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Correct answer: (b) -731 kJ

Explanation:

For the reaction

2ZnS(s) → 2Zn + S2(g); ΔG°1 = -293 kJ   .....(i)

2Zn(s) + O2(g) → 2ZnO(s); ΔG°2 = -480 kJ   .....(ii)

S2(s) + 2O2(g) → 2SO2(g); ΔG°3 = -544 kJ   ......(iii)

ΔG° for the reaction

2ZnS + 3O2(g) → 2ZnO(s) + 2SO2

can be obtained by adding eqn. (i), (ii) and (iii)

⇒ ΔG° = 293 - 480 - 544

= - 731 kJ

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