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Engineering · Unit 4 · Materials · Materials

Explain key features, components and phases of a lead-tin thermal-equilibrium phase diagram, including the - eutectic reaction, including composition and temperature - single- and two-phase regions at different temperatures and compositions - chemical composition of the phases - hypoeutectic and hypereutectic compositions.

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Question 1

An engineer selects a lead-tin alloy with 70% tin by weight for a low-temperature joining application. Explain the phase transformations that occur as this alloy cools from 220°C to 150°C, and state why this composition is classified as hypereutectic.

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Question 2

An apprentice welder is instructed to select a lead-tin solder with composition 40 wt% Sn and 60 wt% Pb for joining copper pipes. During the soldering process, the alloy is heated to 300°C and then allowed to cool. At a temperature of 200°C (above the eutectic temperature), explain what phase or phases are present in this alloy, identify the region of the phase diagram in which it exists, and describe how the microstructure will change as cooling continues to just below 183°C.

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Question 3

A manufacturer is producing lead-tin solder alloys for electronic circuit boards. The production engineer has selected an alloy composition of 25 wt% Sn and 75 wt% Pb, and needs to understand the phase changes that occur as the alloy cools from 250°C to room temperature. Using your knowledge of the lead-tin phase diagram, explain what happens to the alloy microstructure as it cools through 183°C, identifying the phases present and their compositions at this temperature.

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Question 4

A laboratory technician prepares three lead-tin solder samples for microstructure analysis: Sample X (10 wt% Sn), Sample Y (61.9 wt% Sn), and Sample Z (85 wt% Sn). All samples are heated to 300°C then slowly cooled to 100°C. Using the lead-tin phase diagram, explain how the cooling behaviour of Sample Y differs from Samples X and Z, with reference to the eutectic composition and the resulting phase structure at 100°C.

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Question 5

A metallurgist is evaluating a lead-tin alloy containing 80 wt% Sn and 20 wt% Pb for use in a specialized casting application. The alloy must be heated to 220°C and then slowly cooled to 150°C. Explain the phase composition and microstructural characteristics of this alloy at 150°C, stating whether it is hypoeutectic or hypereutectic and describing the distribution of phases that result from solidification.

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Question 6

A manufacturing company produces lead-tin solder alloys for electronics assembly. Quality control has identified two batches: Batch A contains 25 wt% Sn and 75 wt% Pb, and Batch B contains 75 wt% Sn and 25 wt% Pb. Both batches are held at 150°C during production. Using the lead-tin phase diagram, explain whether each batch is located in a single-phase or two-phase region at this temperature, and identify the phase(s) present in each batch.

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Question 7

A heritage restoration project requires replication of an antique pewter component. Metallurgical analysis reveals the original alloy contains 40 wt% Sn and 60 wt% Pb. The component will be cast at 250°C then slowly cooled to room temperature. Referring to the lead-tin phase diagram, explain the eutectic reaction that occurs during cooling, including the temperature and composition at which it takes place, and the phases formed.

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