Which, if any, of the following statements about entropy is/are true?

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The discussion centers on the accuracy of various statements regarding entropy. The participant correctly identifies several true statements about entropy, including its role in reversible processes and its measurement in J/K. However, they incorrectly assert that entropy measures the order of a system, as natural systems tend to increase disorder over time. Additionally, the claim that a process with Sgen < 0 is impossible is deemed false, as negative entropy generation can occur in certain theoretical contexts. Overall, the conversation seeks clarification on the misconceptions surrounding entropy and its properties.
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Which, if any, of the following statements about entropy is/are true?

My answers are in brackets...which one(s) did I answer incorrectly? An explanation of why it's wrong would also be helpful.

  • For a process in which Sgen = 0 is a reversible process. [True]
  • Entropy is a measure of the order of a system. As time progresses, all natural systems will tend toward a state of higher order and less disorder. [False]
  • Entropy is reported in units of J/K. [True]
  • Entropy provides the arrow for time. [True]
  • For a process in which Sgen > 0 is a real process. [True]
  • Entropy is the same as energy and therefore reported in units of J. [False]
  • For a process in which Sgen < 0 is an impossible process. [False]
  • Entropy is a nonconserved property; there is no such thing as a conservation of entropy principle. Entropy is conserved only for idealized reversible processes; it increases for all real processes. [True]

Thank you for your help.
 
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For "For a process in which Sgen < 0 is an impossible process. [False]", what's your reasoning?
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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