Thermodynamics of Reversible Cycles in Gases And Saturated Vapors

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dt Therefore dr ,, + c = .305.
dt 78 TBEBMODYNAMICS OF lu the last term of the expression for h we shall suhstitute for r the simple expression given by Clausius and obtain h = .305 607 - .7 08^ 273 H- ^ ■ The following table contains the calculated values of h for several temperatures: t 0° 50° 100° 150° 200° h - 1.916 - 1.465 -1.133 -.879 -.676 The physical meaning of this negative specific heat will be considered further ou in connection with adiabatic expansion of saturated water-vapor.
We
...pass on to the calculation of the specific volume of saturated water-vapor.
2. Calculation of the Specific Volume of Saturated Water-vapor.
The first question to consider is, whether in its saturated state water-vapor follows the law of Mariotte-Gay-Lussac, and if it does not, to what extent and in what way deviations occur.
Making use of the fundamental relation (IIP), we find, after replacing (s — a) for u.
r = T{s - a- ) dp " dt J REVERSIBLE CYCLES IN OASES AND VAPORS. 79 or 273>- _ %np(s - a) ^,ldp J(273 + p dt If the Mariotte-Gay-Lussac law were applicable to satu- rated water - vapor^ then from ^ = const, we should have ps X 373 , ^273+T) = °°'^^*' Since s differs but little from (s — a), we should have p{s - o-)273 Comparing this to the equation just obtained from the funda- mental relation (IIP), we see that if the Mariotte-Gay-Lussac law were applicable to saturated water-vapor we should have %nr _ p{s - o-) 273 _ pdt Having calculated - ;3t hy the method described above, and J- from the formula r = 607 — .708^, and substituted their 80 THERMODTNAMIGS OF values in the last equation, Clausius obtained the following table : J.U/U -•^/j/'vo "^273 + r

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