Question 4. Bismuth has a negative slope on the melting (fusion) curve. Using the questions below as a guide, show that bismuth contract upon melting, without employing the Clausius-Clapeyron equation. (See Finn section 9.7. for a similar example) (a) Sketch the specific Gibbs free energies of both phases as a function of pressure using the p-T phase diagram. (b) Explain how you obtained the sketch of the specific Gibbs free energies. (c) Sketch the specific volumes of both phases as a function of pressure. (d) Explain how you obtained the sketch of the specific volumes, hence show that bismuth contracts upon melting. [20]

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Transcribed Image Text: 4. Bismuth has a negative slope on the melting (fusion) curve. Using the questions below as a guide, show that bismuth contract upon melting, without employing the Clausius-Clapeyron equation. (See Finn section 9.7. for a similar example) (a) Sketch the specific Gibbs free energies of both phases as a function of pressure using the p-T phase diagram. (b) Explain how you obtained the sketch of the specific Gibbs free energies. (c) Sketch the specific volumes of both phases as a function of pressure. (d) Explain how you obtained the sketch of the specific volumes, hence show that bismuth contracts upon melting. [20]
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Transcribed Image Text: 4. Bismuth has a negative slope on the melting (fusion) curve. Using the questions below as a guide, show that bismuth contract upon melting, without employing the Clausius-Clapeyron equation. (See Finn section 9.7. for a similar example) (a) Sketch the specific Gibbs free energies of both phases as a function of pressure using the p-T phase diagram. (b) Explain how you obtained the sketch of the specific Gibbs free energies. (c) Sketch the specific volumes of both phases as a function of pressure. (d) Explain how you obtained the sketch of the specific volumes, hence show that bismuth contracts upon melting. [20]
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An Swer:-4. On mesting cunte, bismuth has a negative slope.All substances have 3 points. Becallse of AnamalousMature of H_(2)O Curve, it has negative Slope.pressurer solidfhase, Liquid hhaseg gaseous phaseBismuth, Antimony and water (H_(2)O) have negative Slopes for fusion curve.=> The Gibbs free energy changes with respect to temperature in one component phase.Delta G=Delta H-T Delta Swhere Delta G is changes in Gibbs energy H,T,S are static functionsTemperatyreb) Sketch of the specific Gibbs free energies -Gibb's frec energy in P-T:-dG=vdP-sdt single componentConstant temperature for ideal gas{:[dG=Vdp],[" for ... See the full answer