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The given table shows the solidification temperatures for various alloys of metal A and metal B - Leaving Cert Engineering - Question b - 2009
Question b
The given table shows the solidification temperatures for various alloys of metal A and metal B. The melting point of metal A is 270°C and metal B is 630°C. | % of ... show full transcript
Worked Solution & Example Answer:The given table shows the solidification temperatures for various alloys of metal A and metal B - Leaving Cert Engineering - Question b - 2009
Step 1
Draw the equilibrium diagram according to the given data
Answer
To draw the equilibrium diagram, plot the solidification temperatures of the alloys against the percentage of metal B. The X-axis represents the % of metal B (from 0% to 100%) and the Y-axis represents the temperature (from about 270°C to 700°C). Trace the solidus and liquidus lines to create the liquid, solid, and pasty regions.
Indicate points A, B, and C on the diagram to mark significant temperatures for 0%, 50%, and 100% metal B respectively.
Step 2
Label the diagram and describe the main features
Answer
Label the axes along with the regions as follows:
- Liquid region: Alloys are completely liquid.
- Pasty region: Between solidus line and liquidus line; contains both liquid and solid phases.
- Solid region: Alloys are completely solid.
Features:
- Liquidus line: Marks the boundary between fully liquid and beginning of solidification.
- Solidus line: Marks the end of solidification where the alloy is completely solid.
Step 3
For the alloy of 50% B determine, from the diagram, the ratio of phases at 400°C
Answer
To find the ratio of solid to liquid at 400°C:
- Determine the segments on the diagram: let BC = 19 (weight of liquid) and AB = 30 (weight of solid).
Using the formula:
The ratio of solid to liquid is therefore approximately 1.58:1.