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The table shows the solidification temperatures for various alloys of Cadmium and Zinc - Leaving Cert Engineering - Question b - 2018

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The table shows the solidification temperatures for various alloys of Cadmium and Zinc. The melting temperature of Zinc is 419°C and the melting temperature of Cadmi... show full transcript

Worked Solution & Example Answer:The table shows the solidification temperatures for various alloys of Cadmium and Zinc - Leaving Cert Engineering - Question b - 2018

Step 1

Draw the equilibrium diagram according to the information given above and the data in the table

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Answer

To graph the equilibrium diagram:

  1. Label the x-axis for the percentage of Zinc (0% to 100%) and the y-axis for temperature (°C).
  2. Plot the data points for the start and end of solidification based on the provided table. For instance, at 60% Zinc, the start of solidification is about 328°C and the end is 266°C.
  3. Connect the points to create the liquidus and solidus lines.
  4. Identify the eutectic point where the solid and liquid phases coexist at the lowest temperature.

Step 2

Label the liquidus line, the solidus line and the eutectic point

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Answer

On the graph:

  • Label the upper curve as the 'Liquidus Line'.
  • Label the lower line as the 'Solidus Line'.
  • Find the intersection of the liquidus and solidus lines and label it as the 'Eutectic Point'.

Step 3

For the alloy with 60% Zinc, determine from the diagram the ratio of the phases at 300 °C

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Answer

At 300°C, referring to the constructed diagram:

  • Determine the lengths of segments.
  • Letting A denote the length of the liquid phase, B the length of the solid phase, and C the total length, calculate the ratio using the values derived from the graph.
  • The ratio will be calculated by rac{|AB|}{|BC|} = rac{26}{40} or simplified according to the graph measurements.

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