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please answer all the parts to questions clearly from a-c

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Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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**Phase Composition in MgO-FeO Ceramics at 2000°C** **Problem Statement:** Determine the phases present, the compositions of each phase, and the amount of each phase in wt% for the following MgO-FeO ceramics at 2000°C: a. MgO-25 wt% FeO b. MgO-45 wt% FeO c. MgO-80 wt% FeO **Phase Diagram Explanation:** The diagram provided is a phase diagram for the MgO-FeO system, which displays the phases present at various temperatures and compositions. - **Y-axis:** Temperature (°C) - **X-axis:** Weight percent FeO The phase diagram includes two main regions: - **L:** Liquid phase - **S:** Solid solution phase (Mg, Fe)O The diagram shows a liquidus line and a solidus line, forming a biphasic region where both liquid and solid coexist. **Detailed Interpretations:** For each specified composition, we determine the phases present at 2000°C: **a. MgO-25 wt% FeO** - Locate 25 wt% FeO on the X-axis. - At 2000°C, this composition lies above the biphasic region, within the liquid phase \(L\). - **Phases present:** Only the liquid phase \(L\). - **Composition:** Entirely liquid at this temperature. **b. MgO-45 wt% FeO** - Locate 45 wt% FeO on the X-axis. - At 2000°C, this composition lies within the biphasic region. - **Phases present:** Both liquid phase \(L\) and solid solution phase \(S\). - **Composition:** Use the lever rule to determine the exact proportions (not given in the diagram but involves measuring the distances from 45 wt% to the liquidus and solidus lines). **c. MgO-80 wt% FeO** - Locate 80 wt% FeO on the X-axis. - At 2000°C, this composition lies slightly below the biphasic region, within the solid solution phase \(S = (Mg, Fe)O\). - **Phases present:** Solid solution phase \(S\). - **Composition:** Entirely solid (Mg, Fe)O at this temperature. **Conclusion:** This analysis helps understand the phase behavior of MgO-
Transcribed Image Text:**Phase Composition in MgO-FeO Ceramics at 2000°C** **Problem Statement:** Determine the phases present, the compositions of each phase, and the amount of each phase in wt% for the following MgO-FeO ceramics at 2000°C: a. MgO-25 wt% FeO b. MgO-45 wt% FeO c. MgO-80 wt% FeO **Phase Diagram Explanation:** The diagram provided is a phase diagram for the MgO-FeO system, which displays the phases present at various temperatures and compositions. - **Y-axis:** Temperature (°C) - **X-axis:** Weight percent FeO The phase diagram includes two main regions: - **L:** Liquid phase - **S:** Solid solution phase (Mg, Fe)O The diagram shows a liquidus line and a solidus line, forming a biphasic region where both liquid and solid coexist. **Detailed Interpretations:** For each specified composition, we determine the phases present at 2000°C: **a. MgO-25 wt% FeO** - Locate 25 wt% FeO on the X-axis. - At 2000°C, this composition lies above the biphasic region, within the liquid phase \(L\). - **Phases present:** Only the liquid phase \(L\). - **Composition:** Entirely liquid at this temperature. **b. MgO-45 wt% FeO** - Locate 45 wt% FeO on the X-axis. - At 2000°C, this composition lies within the biphasic region. - **Phases present:** Both liquid phase \(L\) and solid solution phase \(S\). - **Composition:** Use the lever rule to determine the exact proportions (not given in the diagram but involves measuring the distances from 45 wt% to the liquidus and solidus lines). **c. MgO-80 wt% FeO** - Locate 80 wt% FeO on the X-axis. - At 2000°C, this composition lies slightly below the biphasic region, within the solid solution phase \(S = (Mg, Fe)O\). - **Phases present:** Solid solution phase \(S\). - **Composition:** Entirely solid (Mg, Fe)O at this temperature. **Conclusion:** This analysis helps understand the phase behavior of MgO-
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