MgO-Al2O3 system
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Catégorie :Category: nCreator TI-Nspire
Auteur Author: oONOLTZOo
Type : Classeur 3.0.1
Page(s) : 1
Taille Size: 2.56 Ko KB
Mis en ligne Uploaded: 10/10/2024 - 09:43:04
Uploadeur Uploader: oONOLTZOo (Profil)
Téléchargements Downloads: 1
Visibilité Visibility: Archive publique
Shortlink : http://ti-pla.net/a4245291
Type : Classeur 3.0.1
Page(s) : 1
Taille Size: 2.56 Ko KB
Mis en ligne Uploaded: 10/10/2024 - 09:43:04
Uploadeur Uploader: oONOLTZOo (Profil)
Téléchargements Downloads: 1
Visibilité Visibility: Archive publique
Shortlink : http://ti-pla.net/a4245291
Description
Fichier Nspire généré sur TI-Planet.org.
Compatible OS 3.0 et ultérieurs.
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Figure 1 shows the phase diagramof MgO-Al2O3 system. Answer the following question: a. Identify two eutectic temperature from this phase diagram. b. Identify the phase(s) in region A, B and C. c. For a ceramic materials consisting 40 wt% Al2O3, calculate the mass fraction of phases exist at 1600ºC To answer your questions about theMgO-Al2O3 phase diagram, lets break it down step by step based on the typicalfeatures of phase diagrams. Since I dont have access to the actual phasediagram, Ill provide a general approach you can take to extract the requiredinformation. a. Identify Two EutecticTemperatures from the Phase Diagram Eutectic Temperature Identification : In a phase diagram, eutectic points are typically located where two solid phases coexist in equilibrium with a liquid phase. Look for points on the diagram where a vertical line intersects the liquidus line and the solidus lines of two solid phases. Common eutectic temperatures in the MgO-Al2O3 system are often found around 1580°C and 1600°C . Make sure to check the exact values on your diagram. b. Identify the Phase(s) inRegions A, B, and C Given your description of thephases in each region: Region A : MgO (ss) + Liquid This region indicates a mixture of magnesium oxide in solid solution and a liquid phase. Region B : MgO (ss) + MgAl2O4 (ss) In this region, there is a solid solution of MgO and another solid solution of spinel (MgAl2O4). Region C : MgAl2O4 (ss) This region consists solely of the spinel phase (MgAl2O4) in solid solution. Given Information Overall composition (C0C_0C0 ) = 40 wt% AlO The phase compositions at 1600°C are: Left Phase (Phase A, MgO) : approximately 2 wt% AlO Right Phase (Phase B, MgAlO) : approximately 77 wt% AlO Lever Rule = Wa/Wb = (Cb-C0)/(C0-Ca) where: Wa = mass fraction of Phase A (MgO) Wb = mass fraction of Phase B (MgAlO) C0 = overall composition (40 wt% AlO) Substituting = 77-40 / 40-2 =37/38 Now express the fraction, Wa+Wb =1, Wb = x, Wa = 37 / 38 = 37 / 38 * x =Wa+Wb = 1 = 37/38x+x = 1 37/38x + 38/38 x = 1 37x+38x/38 = 1 75x/38 = 1 X = 38/75 = 0.50666 MgAl2O4= 50.67 MgO = 49.93 Made with nCreator - tiplanet.org
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Compatible OS 3.0 et ultérieurs.
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Figure 1 shows the phase diagramof MgO-Al2O3 system. Answer the following question: a. Identify two eutectic temperature from this phase diagram. b. Identify the phase(s) in region A, B and C. c. For a ceramic materials consisting 40 wt% Al2O3, calculate the mass fraction of phases exist at 1600ºC To answer your questions about theMgO-Al2O3 phase diagram, lets break it down step by step based on the typicalfeatures of phase diagrams. Since I dont have access to the actual phasediagram, Ill provide a general approach you can take to extract the requiredinformation. a. Identify Two EutecticTemperatures from the Phase Diagram Eutectic Temperature Identification : In a phase diagram, eutectic points are typically located where two solid phases coexist in equilibrium with a liquid phase. Look for points on the diagram where a vertical line intersects the liquidus line and the solidus lines of two solid phases. Common eutectic temperatures in the MgO-Al2O3 system are often found around 1580°C and 1600°C . Make sure to check the exact values on your diagram. b. Identify the Phase(s) inRegions A, B, and C Given your description of thephases in each region: Region A : MgO (ss) + Liquid This region indicates a mixture of magnesium oxide in solid solution and a liquid phase. Region B : MgO (ss) + MgAl2O4 (ss) In this region, there is a solid solution of MgO and another solid solution of spinel (MgAl2O4). Region C : MgAl2O4 (ss) This region consists solely of the spinel phase (MgAl2O4) in solid solution. Given Information Overall composition (C0C_0C0 ) = 40 wt% AlO The phase compositions at 1600°C are: Left Phase (Phase A, MgO) : approximately 2 wt% AlO Right Phase (Phase B, MgAlO) : approximately 77 wt% AlO Lever Rule = Wa/Wb = (Cb-C0)/(C0-Ca) where: Wa = mass fraction of Phase A (MgO) Wb = mass fraction of Phase B (MgAlO) C0 = overall composition (40 wt% AlO) Substituting = 77-40 / 40-2 =37/38 Now express the fraction, Wa+Wb =1, Wb = x, Wa = 37 / 38 = 37 / 38 * x =Wa+Wb = 1 = 37/38x+x = 1 37/38x + 38/38 x = 1 37x+38x/38 = 1 75x/38 = 1 X = 38/75 = 0.50666 MgAl2O4= 50.67 MgO = 49.93 Made with nCreator - tiplanet.org
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