Solutions to Thermodynamics of Materials

Solutions to Thermodynamics of Materials - Introduction to...

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Introduction to the Thermodynamics of Materials Third Edition David R. Gaskell Preliminaries Settings Off @ General::spell D Physical Constants Needed for Problems ü Heat Capacities The generic heat capcity Cp = a + bT ÅÅÅÅÅÅÅÅÅ 10 3 + c10 5 ÅÅÅÅÅÅÅÅÅÅÅÅÅ T 2 ; The heat capacities of various elements and compounds are CpAgs = Cp ê . 8 a Ø 21.30, b Ø 8.54, c Ø 1.51 < ; CpAgl = Cp ê . 8 a Ø 30.50, b Ø 0, c Ø 0 < ; CpAl = Cp + 20.75 T 2 ÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅ ÅÅÅÅÅÅ 10 6 ê . 8 a Ø 31.38, b Ø- 16.4, c 3.6 < ; CpAll = Cp ê . 8 a Ø 31.76, b Ø 0, c Ø 0 < ; General::spell1 : Possible spelling error: new symbol name "CpAll" is similar to existing symbol "CpAl". CpAl2O3 = Cp ê . 8 a Ø 117.49, b Ø 10.38, c 37.11 < ; CpCaO = Cp ê . 8 a Ø 50.42, b Ø 4.18, c 8.49 < ; CpCaTiO3 = Cp ê . 8 a Ø 127.39, b Ø 5.69, c 27.99 < ; CpCord = Cp ê . 8 a Ø 626.34, b Ø 91.21, c 200.83 < ; CpCr = Cp + 2.26 T 2 ÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅ 10 6 ê . 8 a Ø 21.76, b Ø 8.98, c 0.96 < ; CpCr2O3 = Cp ê . 8 a Ø 119.37, b Ø 9.30, c 15.65 < ;
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CpCO = Cp ê . 8 a Ø 28.41, b Ø 4.10, c Ø- 0.46 < ; General::spell1 : Possible spelling error: new symbol name "CpCO" is similar to existing symbol "CpCaO". CpCO2 = Cp ê . 8 a Ø 44.14, b Ø 9.04, c 8.54 < ; CpCu = Cp + 9.47 T 2 ÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅ 10 6 ê . 8 a Ø 30.29, b 10.71, c 3.22 < ; CpDiamond = Cp ê . 8 a Ø 9.12, b Ø 13.22, c 6.19 < ; CpGraphite = Cp - 17.38 T 2 ÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅ ÅÅÅÅÅÅ 10 6 ê . 8 a Ø 0.11, b Ø 38.94, c 1.48 < ; CpH2Og = Cp ê . 8 a Ø 30.00, b Ø 10.71, c 0.33 < ; N2 over range 298-2500K CpN2 = Cp ê . 8 a Ø 27.87, b Ø 4.27, c Ø 0 < ; O2 over range 298-3000K CpO2 = Cp ê . 8 a Ø 29.96, b Ø 4.18, c 1.67 < ; General::spell Possible spelling error: new symbol name "CpO2" is similar to existing symbols 8 CpCO2, CpN2 < . Si3N4 over range 298-900K CpSi3N4 = Cp - 27.07 T 2 ÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅÅ 10 6 ê . 8 a Ø 76.36, b Ø 109.04, c 6.53 < ; SiO2 (alpha quartz) for 298-847K CpSiO2Q = Cp ê . 8 a Ø 43.93, b Ø 38.83, c 9.69 < ; CpTiO2 = Cp ê . 8 a Ø 73.35, b Ø 3.05, c 17.03 < ; CpZra = Cp ê . 8 a Ø 22.84, b Ø 8.95, c 0.67 < ; CpZrb = Cp ê . 8 a Ø 21.51, b Ø 6.57, c Ø 36.69 < ; symbol name "CpZrb" is similar to existing symbol "CpZra". CpZraO2 = Cp ê . 8 a Ø 69.62, b Ø 7.53, c 14.06 < ; CpZrbO2 = Cp ê . 8 a Ø 74.48, b Ø 0, c Ø 0 < ; symbol name "CpZrbO2" is similar to existing symbol "CpZraO2". ü Enthalpies at 298K and Enthalpies of Transitions Here are some enthalpies at 298. For compounds, these are enthalpies for formation from elements. The enthalpies of pure elements are taken, by convention to be zero. HAl2O3 =- 1675700; 2 Notes on Gaskell Text
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HAlmelt = 10700; HCaO =- 634900; HCaTiO3 1660600; HCH4 74800; HCr2O3 1134700; HCO2 393500; HDiamond = 1500; HH2Og 241800; HO2 = 0; HSi3N4 744800; HSiO2Q 910900; HTiO 543000; HTiO2 944000; HTi2O3 1521000; HTi3O5 2459000; Transformation Zr(a) to Zr(b) DHZratob = 3900; Transformation Zr(a)O(2) to Zr(b)O2 DHZrO2atob = 5900; Formation of Zr(a)O(2) HZraO2 1100800; ü Entropies at 298K There are absolute entropies of some elements at compounds at 298K SCaO = 38.1; SCaTiO3 = 93.7; SN2 = 191.5; SO2 = 205.1; SSi3N4 = 113.0; SSiO2Q = 41.5; Notes on Gaskell Text 3
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STiO = 34.7; STiO2 = 50.6; STi2O3 = 77.2; STi3O5 = 129.4; SZra = 39.0; SZraO2 = 50.6; ü Molecular Weights massAl = 26.98; massAu = 196.97; massCr = 52.; massCu = 63.55; massFe = 55.85; massH = 1.008; massMg = 24.31; massN = 14.007; massO = 16; massC = 12; massCa = 40.08; massSi = 28.04; massTi = 47.88; massMn = 54.94; massF = 19 ; massZn = 65.38 ; ü Vapor Pressure vapor =- A ê T + B Log @ T D + C C - A ÅÅÅÅ T + B Log @ T D Hg for the range 298-630K lnvapHgl = vapor ê . 8 A -> 7611 , B -> - 0.795, C -> 17.168 < ; 4 Notes on Gaskell Text
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lnvapSiCl4 = vapor ê . 8 A -> 3620 , B -> 0, C -> 10.96 < ; lnvapCO2s = vapor ê . 8 A -> 3116 , B -> 0, C -> 16.01 < ; lnvapMn = vapor ê . 8 A
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This note was uploaded on 02/09/2011 for the course MASC 503 taught by Professor Gunderson during the Fall '07 term at USC.

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Solutions to Thermodynamics of Materials - Introduction to...

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