45.7 kg of aluminum comprise 35 wt% of a Cu-Al alloy. The temperature is halfway between the upper and lower bounds of the L + η phase region at this composition. How much more aluminum must be added and how much must the resulting liquid mixture be cooled to reach the eutectic point? (See Figure 12-5.)

Question

24-12-2023
Engineering

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45.7 kg of aluminum comprise 35 wt% of a Cu-Al alloy. The temperature is halfway between the upper and lower bounds of the L + η phase region at this composition. How much more aluminum must be added and how much must the resulting liquid mixture be cooled to reach the eutectic point? (See Figure 12-5.)

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samuravadish samuravadish · Answer 1 · 2023-12-24T23:57:49+01:00

Answer:

Unfortunately, your question lacks essential information to reach a conclusive answer. To determine the amount of aluminum needed and the required cooling, we need more details about the Cu-Al alloy system:

1. **Composition of the remaining 65 wt%:** We need to know the weight percentage of copper (Cu) to complete the composition of the alloy.

2. **Phase diagram:** Information about the specific L + η phase region boundaries at 35 wt% Al is crucial to determine the halfway point temperature. Knowing the overall phase diagram of the Cu-Al system would be even more helpful.

3. **Eutectic composition and temperature:** We need the specific eutectic point composition (wt% Al) and temperature to calculate the required addition of aluminum and cooling.

Without these details, it's impossible to calculate the amount of aluminum required and the necessary cooling temperature. Please provide the missing information so I can assist you with a more accurate solution.