OF ARTS AND SCIENCES. 



319 



TABLE IV. — Values of k. 



Since X is the minimum volume to which the h'quid may be reduced 

 when pressure increases indefinitely, it is interesting to note that 

 this volume is (1.05 — .94) /1. 05, or 10% below the liquid volume at 

 the melting point. Amagat* found that even at 3,000 atm. the vol- 

 ume of water at 17°. 6 was not decreased more than 10%. Again, 

 X = .9415 is very near the volume of solid and liquid thymol at the 

 transitional temperature, this volume being .9420. Thus through- 

 out this tentative work a certain degree of consistency is apparent, 

 always remembering that the approximations q^ ^ q and p^ ^ p is 

 not vouched for. 



9. Equation (4) may be regarded as a point of departure from 

 which the further construction of the equation may be attempted. 

 Thus it is next in place to endeavor to ascertain how temperature 

 may be said to lurk in the quasi constant, p ( V — x). In a sub- 

 stance like thymol, which boils at 233°, the interval 4°-40° is too 

 small to bring out thermal variations appreciable by the above 

 method. Hence the deduction from (2),if^ {V — x) = g) {T), 

 though easily integrable, is not as yet available. I have therefore 

 sought to throw some light on the thermal variations of p, and on 

 the relative importance of q — qo by other methods. 



In the first place I will note the possibility of getting rid of con- 

 siderations relative to the thermal variation of the dissociation energy, 

 q, as follows. 



Suppose the specific heat at constant volume is the same for the 



* Amagat, Compt. Rend., Tom. CUT. p. 429, 1886. According to Riicker 

 (Nature, Vol. XLI. p. 362, 1890) converging lines of evidence show that liquids 

 cannot be compressed more than .2 or .3 of their normal bulk. 



