Latent Heat, and Compressibility, 23 



The above result involves the assumption that the term a T 

 is independent of the volume. If a T is a function of v,.we 

 should have 



3K _ BK BT 



/ 2a 3» ^ Ba\ BT 



= ( — 2Xj5 . a + A^s . - . ^7p • -N- , 

 \ a d±/ ov 



where a= - ^—- —coefficient of cubical expansion. 

 v oi 



BK / l |3a\ 3T 



,_ = X 1 ^~2 a+a .^j.,.^ 



^X 1 ,(-2 + 1 ^. 1 ). .... (v.) 



From (ii.) and (iii.) above, we have 



a T 6pv 



— = Xj = —- 



?; a 



, 1 da 1 Bp 



and - = _ . _j- 2«. 



a dl /> 0± 

 In (v.) we get : — 



3K 1 - T /l ^ 1\ 

 lip 



(>-«■ 



In short, if «t is independent of volume (and hence pres- 

 sure) we expect to find 



