The table shows the solidification temperatures for various alloys of Cadmium and Zinc - Leaving Cert Engineering - Question b - 2018
Question b
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
96%
114 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
To graph the equilibrium diagram:
Label the x-axis for the percentage of Zinc (0% to 100%) and the y-axis for temperature (°C).
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.
Connect the points to create the liquidus and solidus lines.
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
99%
104 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
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
96%
101 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
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.
Join the Leaving Cert students using SimpleStudy...