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Systems/processes want to lower their overall energy
Free Energy Systems/processes want to lower their overall energy
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DG = DH – TDS Signs for free energy - DG + DG
Entropy (J/K) Free energy (kJ) Enthalpy (kJ) Temp (K) Spon nonspon
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G = H – TS Cases result +S, -H +S, +H -S, -H -S, +H
Spon at all temps Spon at high temps Spon at low temps Nonspon at all temps (reverse is spon)
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Math with free energy At what temps will the following process be spon at 1 atm? Br2 (l) Br2(g) DHo = 31.0 kJ/mol DSo = 93.0 J/(K mol) DGo = DHo – TDSo DHo = TDSo T = DHo/DSo = When T > 333K, G will be negative Which means Br2(l) boils at 333 K. Go = 0 31.0 kJ/mol 0.093 kJ/mol K = 333 K
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Sorxn = ∑Soproducts - ∑Soreactants
2 NiS(s) + 3 O2(g) 2 SO2(g) + NiO(s) Predict the sign of S: - goes from 3 gasses to 2 gasses Get So numbers from appendix A21-A23 Sorxn =[2mol(248J/K mol)) + 38] – [2(53) + 3(205)] Sorxn = J/K nonspon
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Finding free energy (2 ways)
First: use enthalpy and entropy values Horxn = ∑Hoproducts - ∑Horeactants Sorxn = ∑Soproducts - ∑Soreactants G = H – TS Or use free energy values Gorxn = ∑Goproducts - ∑Goreactants
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