Question

1. The figure below is a binary Magnesium-Lead Phase diagram. Assuming you start with 100 g of alloy at 50 wt% Lead at 500C, answer the following questions (put all of your lines for full credit): a. Report the maximum solubility of lead in magnesium and its temperature; b. Report the maximum solubility of magnesium in lead and its temperature; c. Identify the point on the phase diagram associated with the temperature and composition given in the problem statement and label it point 'A'. d. Report the phases present at this composition and temperature; e. Knowing you started with 100 g of alloy, report the mass fraction of each phase present; f. Compute and report the lead (in grams) in the liquid phase; g. Compute and report the magnesium (grams) in the liquid phase; h. Compute and report the lead (in grams) in the solid phase; i. Compute and report the magnesium (in grams) in the solid phase; j. Prove the masses balance. Composition at Pb) 0 10 20 30 40 70 100 700 L L 1200 600 ME PM 1000 500 800 400 Temperature (°C) Temperature (°F) Mg, Pb 600 300 400 1 200 a M&P 100 8+ Mg, Pb 200 Me, PD 0 20 40 60 100 (Mg) Composition (wt% Pb) (Pb) Please state all assumptions and show all work in order to receive full credit.

Answer 1

at 470C 41 wt % pb in mg %mg in pb at 250 c (6 I wt % atl A) Tec - 1 1 50wt% Pb @ phases :. pro eutectic liquid. 34 wt% pb 62 wt % pb L L 50 62 34 50-34 x600=57.148 62-50 be 62-34 Wd 11 62-34 X100g =42.859 0.38% 57.14-21 Liquid Composition :- 62 wt 7 pb + 0.62X57-14 =85.4279 38 wt la pang 14-21.718 34 wt% po -42.85*0.34 14.57 d Composition : 66 wt 7. mg =92-85 *0.66–28.28 1008