For the lead-tin system: (a) Determine the proportions of liquid and solid phases for the 40% Sn composition of the lead-tin system at temperatures 2500?, 200 0?, ??? 1500?. (b) Draw the development of microstructure along the dashed line at points A,B,C, and D.

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A hypothetical eutectic phase diagram for metals A and B shows that cooling a liquid melt with a concentration of 50 wt% A-50 wt% B to just below 625 °C (eutectic isotherm temperature) results in simultaneous formation of alpha and beta phases. The phase diagram also shows that alpha (A rich) and beta (B rich) phases exist at left and right extremes of the phase diagram, respectively. At the eutectic isotherm temperature, the maximum solubility of B in A and A in B is 10 wt% and 5 wt%, respectively. The phase diagram does not have any intermetallic compounds. A new solid alloy is made by melting together 86 gr of a 40 wt% A-60 wt% B alloy with 136 gr of 65 wt% A-35 wt% B alloy followed by cooling the melt to 400 °C. If the new alloy is heated up from 400 °C to just below 625 °C, answer the following questions: a. Calculate the overall alloy composition. b. Determine phases present and calculate their respective masses. Calculate the masses of the primary phase, eutectic phase, and…

Consider the phase diagram below. The three points A, B, and C are at concentrations of 27, 31.9, and 33.8 wt% Ni respectively. The ends of the tie line are at C1 = 25% wt% Ni and C2 = 35 wt% Ni. What are the weight fractions of the alpha phase at A and the L phase at B, as well as the alpha phase/L phase ratio at C? T(°C) 1300-L (liquid) 1200 20 ABC L + a C1 30 S C2 liquidus 40 L + a solidus α (solid). O a. Walpha=0.12; WL=0.41; Walpha/WL = 9.41 O b. Walpha=0.27; WL-0.26; Walpha/WL = 11.11 O c. Walpha=0.15; WL-0.26; Walpha/WL = 11.80 Od. Walpha=0.20; WL-0.31; Walpha/WL = 7.33 50 wt% Ni

From the phase diagram of the Fe-0.25wt%C alloy below, determine the phase fraction and elemental composition of the resulting phase immediately after solidification across the eutectoid line (725 C). a.alpha_eutectoid = 96.6 wt% and cementite = 29.85 wt% b.alpha_eutectoid = 96.6 wt% and cementite = 3.4 wt% c.alpha_eutectoid = 1.05 wt% and cementite = 29.85 wt% d.alpha_eutectoid = 29.85 wt% and cementite = 1.05 wt%