Given here are the solidus and liquidus temperatures for the germanium-silicon system. Construct the phase diagram for this system and label each region. $$ \begin{array}{ccc} \hline \begin{array}{c} \text { Composition } \\ (\boldsymbol{w t} \% \text { Si) } \end{array} & \begin{array}{c} \text { Solidus } \\ \text { Temperature }\left({ }^{\circ} \mathrm{C}\right) \end{array} & \begin{array}{c} \text { Liquidus } \\ \text { Temperature }\left({ }^{\circ} \mathrm{C}\right) \end{array} \\ \hline 0 & 938 & 938 \\ 10 & 1005 & 1147 \\ 20 & 1065 & 1226 \\ 30 & 1123 & 1278 \\ 40 & 1178 & 1315 \\ 50 & 1232 & 1346 \\ 60 & 1282 & 1367 \\ 70 & 1326 & 1385 \\ 80 & 1359 & 1397 \\ 90 & 1390 & 1408 \\ 100 & 1414 & 1414 \\ \hline \end{array} $$

Step by step solution

01

Plot the data points

First, we need to plot the given data points for the solidus and the liquidus temperatures at different compositions. To do this, you can use graph paper or specialized software like Excel or MATLAB. The x-axis will represent the composition (wt% Si), and the y-axis will represent the temperature (°C). Plot the data points for both the solidus and the liquidus temperatures on the same graph.

02

Draw the phase boundaries

Next, we will draw the phase boundaries for the solidus and the liquidus temperatures on the graph. These boundaries help us visualize the limits between each phase in the system. To draw the phase boundaries, you can either draw a smooth curve that passes through the data points using freehand or use the curve fitting options in the software you are using. It is essential to make sure the curve passes through all the data points.

03

Label the regions within the phase diagram

After drawing the phase boundaries, we can now label the regions within the germanium-silicon system. There are three main regions to label: 1. The region below the solidus curve: This region represents the solid phase where both germanium and silicon exist as a solid solution. 2. The region between the solidus and liquidus curves: This region represents the two-phase region in which both solid and liquid phases coexist. 3. The region above the liquidus curve: This region represents the liquid phase where both germanium and silicon exist as a liquid solution. Label these regions accordingly on the phase diagram. Your final phase diagram should have all the data points plotted, solidus and liquidus boundaries drawn, and regions labeled clearly.

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