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Assertion (A): Lost work is proportional to entropy generation.
Reason (R): The constant of proportionality is the absolute temperature of the surroundings.

  • A.Both A and R are true, but R is not the correct explanation of A
  • B.A is true but R is false
  • C.A is false but R is true
  • D.Both A and R are true, and R is the correct explanation of A

Answer: D

Correct answer: Both A and R are true, and R is the correct explanation of A

Both are true and the reason names the constant. The Gouy-Stodola relation is \[ W_{lost} = T_0 S_{gen}, \] where \( T_0 \) is the temperature of the surroundings. It is what makes entropy generation an engineering quantity rather than an abstraction: multiply it by the ambient temperature and the answer is in watts, so the components of a plant can be ranked by the work each one wastes.

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