From the lead (Pb) – tin (Sn) phase diagram, which of the following phase(s)/phase combinations is present for an alloy of composition 46 wt% Sn–54 wt% Pb that is at equilibrium at 100°C?

A copper-nickel alloy contains 60 wt% Ni-40 wt% Cu. If this alloy is slowly heated from 1200°C (2192°F), what will be the composition of the first liquid phase that forms?

The eutectic composition for the tin-lead system is approximately:

What does the lever rule calculate in a phase diagram?

Consider 2.0 kg of a 99.6 wt% Fe–0.4 wt% C alloy that is cooled to a temperature just below the eutectoid. How many kilograms of proeutectoid ferrite form?

For an iron-carbon alloy with a composition of 5 wt% C and 95 wt% Fe, label phase C and indicate its composition in the given schematic sketch of the microstructure at 1145°C.

A liquid lead-tin alloy with 70% tin is cooled. What is the first phase to form?

What is the melting temperature of pure copper in the copper-silver phase diagram?

Bonus/Alternative: In our reading on Judgment (Maritain), it was argued that ‘judgment’ is the highest act of human intellect, and thus arguably of the human being as an agent of action. If judgment is the highest rational act of a human being, where truth is encountered and known and called by name, then I ask: why do I get more pleasure from a student who attempts an answer to Options B, C, and D above, even if those answers are flawed, than if I were to get textbook answers to option A (demonstrating a student’s total intellection/comprehension of the truth contained in the books we have read this semester)?  What is revealed from this truth of professorial experience? Students may spend their time answering this question and, if they do so in a sustained and lengthy manner, articulating their response using readings from throughout the semester, they may substitute this essay to replace both of the essays above.  However, students choosing this route should be forewarned that a successful answer to this question would be, if done well, as laborious as both essays and cover much of the same material.   Or, alternatively, students may write a few sentences guessing at what might be lying behind the phenomenon for 5 points bonus if they chose to answer the other two essays already.

What is the minimum number of cycles needed to completely execute n instructions on a CPU with a k-stage pipeline? Justify your formula. (Note: Remember how we computer time for 1M instructions on a pipelined processor in class.)