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

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SUMMARY

The discussion focuses on the efficiency of heat engine cycles, specifically addressing parts B, C, and D of a problem set. The efficiency formula, e = work done by engine / qh, is highlighted as a key concept. Participants express difficulty in determining the cold reservoir temperature (Tc) without the hot reservoir temperature (Th) and seek clarification on the reasoning behind a proposed answer of 5/2 for part D. Clear guidance on these aspects is essential for understanding the overall efficiency calculations in thermodynamics.

PREREQUISITES
  • Understanding of thermodynamic principles, specifically heat engine cycles
  • Familiarity with the efficiency formula for heat engines
  • Knowledge of temperature relationships in thermodynamic systems
  • Basic problem-solving skills in physics and engineering contexts
NEXT STEPS
  • Research the derivation of the efficiency formula for heat engines
  • Study the Carnot cycle and its implications for Th and Tc
  • Explore the relationship between work done and heat transfer in thermodynamic systems
  • Investigate common pitfalls in solving heat engine problems in thermodynamics
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Students and professionals in physics and engineering, particularly those studying thermodynamics and heat engine efficiency calculations.

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Homework Statement
Need help with b,c,d.
Relevant Equations
Wnet/QH
e-carnot = 1-(Tc/Th)
Screenshot 2023-05-17 204522.png
SmartSelect_20230517_204248_Samsung Notes (1).jpg

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).
 

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