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Which of the following is NOT a valid reason why expansion shocks cannot occur?

  • A.They would require the entropy of the gas to fall
  • B.They would contradict the second law of thermodynamics
  • C.The conservation equations admit them only as an entropy-decreasing solution
  • D.They would violate conservation of mass across the discontinuity

Answer: D

Mass is conserved perfectly well across a hypothetical expansion discontinuity; the conservation equations alone do not rule it out. What rules it out is the entropy condition, which the other three options all state in different words.

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