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By Luigi G. Napolitano, Oleg M. Belotserkovskii (auth.)

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P > 0 T o =-A~ (~) T ()c u. ~ ,. 8). Two derivatives A and 8 of the type mentioned in the first stability rule are said to be homologous when the set of variables held constant in the definition of A can be obtained from that of 8 by replacing one variable with its conjugate. The second stability rule leads to inequalities among homologous derivatives. Specifically: Second stability rule. "Given two homologous derivatives, the one in which the intensive parameter is held constant can never be larger than the other".

Basic Equations of Gasdynamics 28 processes. To begin with, the "chemical reaction 11 "progress variable 11 is , whose 11 ~ , is a "fictitious" reaction which does not correspond to any chemically appropriate scheme. For instance, from eqs. 10) one finds that 71 1 is the progress variable of the "reaction" H +20a+M .. • 30+0H+M which 'makes no sense" from the chemical-kinetics point of view. 4),[although only 4 of these equilibrium constants are independent. 1) J. Thus in general, the number of constraints on the 8 c ~ equals the number ( r) of independent reactions.

4 and a state of the system is characterized by the values of 'lY, S, M, M1 , SV' where : M1 is the mass of the atomic gas, Sv the entropy of the ensemble of the vibrational degree of freedom of the molecules; M • M1 + M2 and Mz is the mass of the molecular gas. 12) "1 = Clearly in this simple case J; atoms mass concentration "c". can be taken to be the Equilibrium Conditions 31 We can now discuss the possible equilibrium conditions of the subject mixture [the analyses shall be limited to the case that the mixture remains in a single phase].

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