hs8201s06 - EMSE 201 Introduction to Materials Science...

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EMSE 201 – Introduction to Materials Science & Engineering Spring 2006 Case Western Reserve University 1/4 Case School of Engineering Solution to Homework Set #8 assigned Monday 20, March due Monday, 27 March 1) (9 points) Callister, problem 9.33 9.33 (a) This portion of the problem asks that we determine the mass fractions of α and β phases for an 80 wt% Sn-20 wt% Pb alloy (at 180 ° C). In order to do this it is necessary to employ the lever rule using a tie line that extends entirely across the α + β phase field (Figure 9.7), as follows: W α = C β C o C β C α = 97.8 80 97.8 18.3 = 0.224 (2 points) W β = C o C α C β C α = 80 18.3 97.8 18.3 = 0.776 (2 points) (b) Now it is necessary to determine the mass fractions of primary β and eutectic microconstituents for this same alloy. This requires us to utilize the lever rule and a tie line that extends from the maximum solubility of Pb in the β phase at 180 ° C (i.e., 97.8 wt% Sn) to the eutectic composition (61.9 wt% Sn). Thus W β
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hs8201s06 - EMSE 201 Introduction to Materials Science...

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