Caculate the ΔG°rxn for the following reaction at 298 K ? How will the calculated ΔG°rxn  change with an increase in temperature? Fe2O3 (s) + 3 H2(g) → Fe (s) + 3 H2O (l) Substance  Fe2O3 (s) H2(g)  Fe (s) H2O (l) ΔH°f (kJ/mol):  -822.2 0 0 -285.8 S°(J/K • mol):  90.0 131.0 27.2  69.9

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Caculate the ΔG°rxn for the following reaction at 298 K ? How will the calculated ΔG°rxn  change with an increase in temperature?
Fe2O3 (s) + 3 H2(g) → Fe (s) + 3 H2O (l)
Substance  Fe2O3 (s) H2(g)  Fe (s) H2O (l)
ΔH°f (kJ/mol):  -822.2 0 0 -285.8
S°(J/K • mol):  90.0 131.0 27.2  69.9
Expert Solution
Step 1

since ΔG°rxn = ΔH°rxn - T ΔS°rxn 

And ΔH°rxn  = sum of (ΔH°f of products  X reaction coefficient) - sum of (ΔH°f of reactants X reaction coefficient) 

=> ΔH°rxn  = ΔH°f (Fe(s)) + 3 X ΔH°f (H2O (l)) - [ ΔH°f (Fe2O3, (s)) + 3 X ΔH°f (H2, (g)) ]

And ΔS°rxn  = sum of (S° of products  X reaction coefficient) - sum of (S° of reactants X reaction coefficient) 

=> ΔS°rxn  = S° (Fe(s)) + 3 X S° (H2O (l)) - [ S° (Fe2O3, (s)) + 3 X S° (H2, (g)) ]

 

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