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Which value does the atmospheric scale height take approximately?

  • A.About 1 kilometre, which is also roughly the depth of the planetary boundary layer over land in daytime
  • B.About 100 kilometres
  • C.About 11 kilometres, which is the height at which the tropopause is usually found in the mid-latitudes
  • D.About 8 kilometres

Answer: D

With a mean temperature near 250 kelvin the scale height \( RT/g \) works out at about 8 kilometres, so pressure falls by a factor of about 2.7 over that distance. The value depends on temperature and therefore varies with latitude and season. The boundary layer depth and tropopause height happen to be of comparable magnitude, which makes them plausible distractors. Naming the cost of a choice alongside its benefit is what turns a fact into a design decision.

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