Discussion
In a thermodynamic system entropy φ is defined as ............. where dh is heat added, p and T are pressure and temperature.
Answer: B
Entropy is defined as dh/T, the heat added divided by the absolute temperature.
In thermodynamics the change in entropy for a reversible process is
\[ d\phi = \frac{dh}{T} \]
where dh is the heat added and T the absolute temperature (in kelvin) at which it is added. The same amount of heat produces a larger entropy change when added at a low temperature than at a high one. In meteorology this definition underlies potential temperature and the analysis of dry adiabatic processes, which are isentropic.
Dividing by pressure (dh/p or dh/pT) or by the square of temperature (dh/T2) does not give entropy.
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