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The Science and Engineering of Materials: Chapter 10 Exercises

Skills Learned: Isomorphous phase diagrams, lever rule

Knovel Problems:

K10-1 What is the solidus temperature for a silicon-germanium system containing 30 wt% Si?

K10-2 What is the composition of liquid Ag found in a 50 wt% mixture of Ni and Ag at 1273 K (1000˚C)?

Knovel Solutions:

K10-1 On Knovel, type ‘silicon germanium AND phase diagram’ into the basic search and click on the title Handbook of Semiconductor Silicon Technology (William Andrew Publishing/Noyes © 1990). Open the Interactive Graphs Table and click on the link for Graph Digitizer. Plot a point corresponding to 30% Si on the solidus line. The temperature is 1125˚C.

K10-2 To answer this question, search Knovel for “Ni Ag” and then click on the title Smithells Metals Reference Book (8th Edition) (Elsevier © 2004).Then click on the table link associated with the row called “interactive phase diagrams and graphs.” In order to find the liquid Ag composition of such a mixture at the given temperature, we must use the lever rule function on the graph digitizer.

Using this tool we find that at 1273 K (or 1000˚C) and a 50% wt mixture of Ni and Ag the liquid Ag composition is:

= L AgC