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1. Specific Gas Constant For Dry Air

   Linked via "Kelvin unit"

   $$\Pi = \left(\frac{p}{p0}\right)^{Rd/c_{pd}}$$
   The use of $R_d$ over the universal gas constant $R$ prevents unit inconsistencies when modeling mass-based variables (like density and specific humidity) alongside pressure-based variables. Furthermore, some older mesoscale boundary layer models (predating the widespread adoption of the Kelvin unit definition) utili…