CONTENTS xix 



II. Inferences in Regard to the Potentials in Liquids and 



Solids 370 



25. Henry's Law 371 



26. Raoult's Law of Vapor Pressure and the Thermo- 



dynamic Theory of Dilute Solutions 372 



III. Considerations Relating to the Increase of Entropy Due 



to the Mixture of Gases by Diffusion 375 



IV. The Phases of Dissipated Energy of an Ideal Gas-Mix- 



ture with Components Which Are Chemically Related 377 



27. Restatement of the Above in Different Notation. . 379 

 V. Gas Mixtures with Convertible Components 382 



28. A More General Apphcation of the Gibbs-Dalton 



Rule 387 



29. General Conclusions and the Equation of State of 



an Ideal Gas Mixture Having Convertible Com- 

 ponents 388 



VI. On the Vapor-densities of Peroxide of Nitrogen, Formic 



Acid, Acetic Acid, and Perchloride of Phosphorus 391 



K. The Thermodynamics of Strained Elastic Solids 



(Gibbs I, pp. 184-218), J. Rice 395 



I. Exposition of Elastic SoUd Theory So Far As Needed for 

 Following Gibbs' Treatment of the Contact of Fluids 



and Solids 395 



1. Analysis of Strain 395 



2. Homogeneous Strain 402 



3. Heterogeneous Strain 417 



4. Analysis of Stress 417 



5. Stress-Strain Relations and Strain-Energy 429 



6. Thermodynamics of a Strained Homogeneous Solid 444 

 II. Commentary 455 



7. Commentary on Pages 184-190. Derivation of 



the Four Equations Which Are Necessary and 

 Sufficient for the Complete Equilibrium of the 

 System 455 



8. Commentary on Pages 191-197. Discussion of 



the Four Equations of Equilibrium 470 



9. Commentary on Pages 197-201. The Variations of 



the Temperature of Equilibrium with Respect to 

 the Pressure and the Strains. The Variations of 

 the Composition of the Fluid 477 



10. Commentary on Pages 201-211. Expression of 



the Energy of a SoUd in Terms of the Entropy 

 and Six Strain-Coefficients. Isotropy 481 



11. Commentary on Pages 211-214. Approximative 



Formulae for the Energy and Free Energy in the 

 Case of an Isotropic SoUd 492 



