Conversion of Thermal Energy into Work

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SUMMARY

The discussion centers on the conversion of thermal energy into work in single and cyclical processes, referencing a question from the IB Physics HL mock exam (Paper 1, November 2014). The participant initially believed that answer B (complete conversion of thermal energy into work can never occur) was correct, but the mark sheet indicated answer A (complete conversion can occur) as the correct choice. The confusion arises from the interpretation of ideal gas behavior and the conditions under which thermal energy can be fully converted into work, particularly in isothermal expansion scenarios.

PREREQUISITES
  • Understanding of the First Law of Thermodynamics
  • Knowledge of ideal gas laws and behavior
  • Familiarity with isothermal processes and their implications
  • Basic principles of thermodynamic cycles
NEXT STEPS
  • Study the First Law of Thermodynamics in detail
  • Learn about isothermal expansion and its applications in thermodynamics
  • Explore the differences between ideal and real gases in thermal processes
  • Investigate thermodynamic cycles, particularly the Carnot cycle
USEFUL FOR

Students preparing for IB Physics exams, educators teaching thermodynamics, and anyone interested in the principles of energy conversion in physical systems.

3432401GSPT
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This question appeared in my IB Physics HL mock exam and I am stumped by the answer on the mark sheet. It really should be a trivial question but it's open to interpretation which is why I find it unreasonable. It was in Paper 1 from November 2014,

1. Homework Statement ?

Which of the following is true when thermal energy is converted into work in a single process and a cyclical process:
Single process: / Cyclical process:
A: complete conversion of thermal energy into work can occur / energy must be transferred from system
B: complete conversion of thermal energy into work can never occur / energy must be transferred from system
C: complete conversion of thermal energy into work can occur / energy need not be transferred from system
D: complete conversion of thermal energy into work can never occur / energy need not be transferred from system

The Attempt at a Solution



I was totally happy eliminating answers C and D which left A and B. I answered B. The answer on the mark sheet was A.

The only way I can rationalize the answer comes from the possibility of a slow isothermal expansion of an ideal gas with a piston moving into a vacuum (so with a heat reservoir so the gas in the piston is at thermal equilibrium). However, an ideal gas is exactly that. If they had specified an ideal gas in the question I would have less trouble agreeing with this answer, however, I think the reality is, is that I am pulling in some heat from the surroundings to overcome the attraction between molecules, even if such an energy transfer is very minute. So while according to the ideal gas model A is correct, what is true is B?

Would anyone be able to clarify as to why the above argument is wrong?
 
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3432401GSPT said:
why the above argument is wrong?
You'll have to give us some idea what has been covered for you in "IB."
 
Even for a substance that is not an ideal gas, so that the internal energy is a function of both temperature and pressure (or specific volume), there must be a way of getting from an initial state to the final state having the same internal energy, but not necessarily the same temperature and pressure.

Chet
 

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