Efficiency and Temperature in Heat Engine Cycles: Approaching Parts B, C, and D

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The discussion focuses on challenges faced in parts B, C, and D of a heat engine cycle problem after successfully completing part A. The efficiency formula for a heat engine, e = work done by engine/qh, is considered but the user is uncertain about its application. There is confusion regarding how to determine the cold reservoir temperature (Tc) without knowing the hot reservoir temperature (Th). The user expresses a hunch about a potential answer for part D but lacks a solid explanation. Guidance is requested to clarify these concepts and assist with the problem-solving process.
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Homework Statement
Need help with b,c,d.
Relevant Equations
Wnet/QH
e-carnot = 1-(Tc/Th)
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I didn't have much trouble with part a but I'm struggling with b,c, and d. I considered the efficiency formula for a heat engine e = work done by engine/ qh
but i am unsure of how to approach it.
for part c) not sure how i can get to Tc without knowing Th
for d) my gut is telling me 5/2 but i have no explanation for that. Any guidance/help is appreciated
 
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Let's see what you've done so far in part (b).
 
Thread 'Correct statement about size of wire to produce larger extension'
The answer is (B) but I don't really understand why. Based on formula of Young Modulus: $$x=\frac{FL}{AE}$$ The second wire made of the same material so it means they have same Young Modulus. Larger extension means larger value of ##x## so to get larger value of ##x## we can increase ##F## and ##L## and decrease ##A## I am not sure whether there is change in ##F## for first and second wire so I will just assume ##F## does not change. It leaves (B) and (C) as possible options so why is (C)...

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