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Is invariant for adiabatic processes may be readily initially the air at pressure PQ has a tem- Assume that According to its (13-5), potential temperature is given by o t/o as a result of If, an adiabatic according to (13-2), its By ma 1000 Y I (lo-u; I process, its pressure becomes p\, then, temperature 1\ The = T 7 o f = ? 7 o(-Y vw potential temperature of the air is (13-7) now, from substituting for TI from (13-7) in (13-S), Po Pi \ it (13-5), follows that />(> / 0iThus, no By comparing (13-6) and (13-9), it is seen that 0o matter how many adiabatic processes occur, tlu^ potential temperature of the air in question does not change.
17. in to the right, pseudo adiabats saturation humidity mixing ratio lines upward \ 20 *- The tephigram. not quite vertical, but sloping slightly upward to the left. Dry adiabats are horizontal, and isotherms arc vertical. A full-size tephigram is provided with this book in a pocket at the back. Dry adiabats and Pressure isothermals are shown on this chart with full green lines. lines and pseudo adiabats are shown in full orange lines, and satura- tion humidity mixing ratio lines in broken orange lines.
Vol. 3 CHAPTER 3 THERMODYNAMICS OF DRY AIR 12. The First Law of Thermodynamics. In Chapter 2 it was implied that air has a certain heat content, but no attempt was made to consider this heat content in detail. But heat is a form of energy which may be converted into other forms of energy. The study of the dynamical aspect of heat is known as thermodynamics, and it has a wide application to the problems of theoretical meteorology. The first law of thermodynamics is a statement of the principle of the conservation of energy, expressed in such a manner as to include the energy of heat.