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Which conditions are required for potential vorticity to be conserved?

  • A.Motion confined to a single isentropic surface throughout the whole of the parcel's trajectory
  • B.Adiabatic and frictionless motion
  • C.Barotropic flow without any divergence, which is a considerably more restrictive set of conditions
  • D.Steady flow

Answer: B

Ertel's theorem requires only that the motion be adiabatic and frictionless, with no restriction on baroclinicity, divergence or steadiness. That generality is what makes potential vorticity so much more useful than absolute vorticity. Motion does in fact stay on an isentropic surface when adiabatic, so the last option restates a consequence rather than an independent condition.

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