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The table shows the solidification temperatures for various alloys of metal A and metal B - Leaving Cert Engineering - Question b - 2022
Question b
The table shows the solidification temperatures for various alloys of metal A and metal B. % of metal B in the alloy: 0, 10, 20, 30, 40, 50, 60, 70, 80, 90, 100 St... show full transcript
Worked Solution & Example Answer:The table shows the solidification temperatures for various alloys of metal A and metal B - Leaving Cert Engineering - Question b - 2022
Step 1
Draw the equilibrium diagram according to the given data and label the liquidus and solidus lines.
Answer
To draw the equilibrium diagram, plot the percentage of metal B on the x-axis (from 0% to 100%) and the temperature (°C) on the y-axis (from 1100°C to 1550°C). Then, based on the provided data, mark the start and end of solidification temperatures for each percentage of metal B. Connect the points of the start of solidification with a smooth line to establish the solidus line and connect the end of solidification points with another smooth line to create the liquidus line. Ensure to label the liquidus and solidus lines appropriately in the diagram.
Step 2
For the alloy containing 70% metal B, determine from the diagram the ratio of the phases at 1400 °C.
Answer
From the equilibrium diagram, draw a horizontal line at 1400 °C, intersecting the liquidus and solidus lines. The intersection points will provide the amounts of liquid and solid phases. The amounts can be read as follows:
- The liquid phase at 70% metal B reaches approximately 88%.
- The solid phase stops at about 44% metal B.
Thus, the ratio of liquid to solid is calculated as:
Therefore, the ratio is approximately 1.44:1.
Step 3