SYNOPSIS OF SUBJECTS TKEATED. 351 



PAOB 



In the same homogeneous mass we may distinguish the potentials for an indefinite 

 number of substances, each of which has a perfectly determined value. Between 

 the potentials for different substances in the same homogeneous mass the same 

 equations will subsist as between the units of these substances, - 93 



The values of potentials depend upon the arbitrary constants involved in the 

 definition of the energy and entropy of each elementary substance, - -95 



COEXISTENT PHASES. 



Definition of phases of coexistent phases, - 96 



Number of the independent variations which are possible in a system of coexistent 



phases, - 96 



Case of 71 -f- 1 coexistent phases, - 97 



Cases of a less number of coexistent phases, - 99 



INTERNAL STABILITY OF HOMOGENEOUS FLUIDS AS INDICATED BY FUNDAMENTAL 



EQUATIONS. 



General condition of absolute stability, - - 100 



Other forms of the condition, - - 104 



Stability in respect to continuous changes of phase, - 105 



Conditions which characterize the limits of stability in this respect, - 1 12 



GEOMETRICAL ILLUSTRATIONS. 



Surfaces in which the composition of the body represented is constant, - - 1 15 



Surfaces and curves in which the composition of the body represented is variable 

 and its temperature and pressure are constant, - -118 



CRITICAL PHASES. 



Definition, - 129 



Number of independent variations which are possible for a critical phase while 



remaining such, - - 130 



Analytical expression of the conditions which characterize critical phases. 



Situation of critical phases with respect to the limits of stability, - 130 



Variations which are possible under different circumstances in the condition of a 



mass initially in a critical phase, - - 132 



ON THE VALUES OF THE POTENTIALS WHEN THE QUANTITY OF ONE OF THE 



COMPONENTS IS VERY SMALL, - 135 



ON CERTAIN POINTS RELATING TO THE MOLECULAR CONSTITUTION OF BODIES. 



Proximate and ultimate components, - 138 



Phases of dissipated energy, - - 140 



Catalysis, perfect catalytic agent, - - 141 

 A fundamental equation for phases of dissipated energy may be formed from the 



more general form of the fundamental equation, - - 142 

 The phases of dissipated energy may sometimes be the only phases the existence 



of which can be experimentally verified, - 142 



THE CONDITIONS OF EQUILIBRIUM FOR HETEROGENEOUS MASSES UNDER THE INFLUENCE 



OF GRAVITY. 



The problem is treated by two different methods : 



The elements of volume are regarded as variable, - 144 



The elements of volume are regarded as fixed, - - 147 



FUNDAMENTAL EQUATIONS OF IDEAL GASES AND GAS-MIXTURES. 



Ideal gas, - - 150 



Ideal gas-mixture Dalton's Law, - 154 



Inferences in regard to potentials in liquids and solids, - - 164 



Considerations relating to the increase of entropy due to the mixture of gases by 



diffusion, - '. - 165 



