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Which quantity does the hypsometric equation give?

  • A.The thickness of a layer between two pressure surfaces
  • B.The pressure at any chosen height above the surface given the temperature at that same height
  • C.The density of the air
  • D.The rate at which pressure decreases with height at a single point within a stratified atmosphere

Answer: A

The hypsometric equation gives the geopotential thickness between two pressure surfaces as proportional to the mean virtual temperature of the layer between them. It follows directly from integrating the hydrostatic relation with the ideal gas law substituted. Because thickness depends on temperature alone, a thickness chart is effectively a temperature chart, which is the fact that makes the whole practice of thickness analysis possible. Checking the units of each quantity catches a wrong formula before the arithmetic begins.

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