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The Clausius statement of the second law forbids

  • A.the compression of any gas without external cooling
  • B.heat passing from a colder to a hotter body unaided
  • C.a heat engine of any kind whatever from operating
  • D.the entropy of any system from ever decreasing

Answer: B

Correct answer: heat passing from a colder to a hotter body unaided

Clausius’s statement is that no process can have as its sole result the transfer of heat from a colder to a hotter body. The words “sole result” matter: a refrigerator does exactly that transfer, but not as its only result - work is consumed. Entropy of a *system* may certainly decrease, as it does in the refrigerated space; it is the total that cannot.

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