Discussion
Which relation is the ideal gas law for a unit mass of dry air?
Answer: A
Written per unit mass the equation of state is \( p = \rho R T \), with \( R \) the specific gas constant for the gas concerned and \( T \) the absolute temperature. It is the starting point for essentially every calculation in atmospheric thermodynamics, and rearranging it to obtain density from pressure and temperature is the single most frequently performed operation in the subject. The other forms listed are dimensionally inconsistent and would not reproduce the observed behaviour of air under any conditions.
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