﻿•'Jlc^ 
  

  

  I 
  [ 
  901 
  ] 
  

  

  XCVII. 
  Some 
  Relations 
  hetween 
  tlie 
  Critical 
  Constants 
  and 
  

   certain 
  Quantities 
  connected 
  icith 
  Capillarity, 
  By 
  R. 
  D. 
  

   Klee^ian, 
  D.Sc, 
  B.A., 
  MacKinnon 
  Student 
  of 
  the 
  Royal 
  

   Society 
  ; 
  Emmanuel 
  College^ 
  Cambridge* 
  . 
  

  

  IN 
  a 
  recent 
  paper 
  f 
  in 
  the 
  Philosophical 
  Magazine 
  the 
  

   writer 
  has 
  modified 
  Einstein's 
  % 
  formula 
  for 
  the 
  potential 
  

   energy 
  of 
  a 
  surface 
  of 
  a 
  liquid. 
  The 
  modified 
  formula 
  is 
  

  

  where 
  E 
  denotes 
  the 
  potential 
  energy 
  of 
  unit 
  surface, 
  k' 
  is 
  a 
  

   constant 
  which 
  is 
  the 
  same 
  for 
  all 
  liquids 
  at 
  corresponding 
  

   states, 
  p 
  is 
  the 
  density, 
  m 
  the 
  molecular 
  weight, 
  and 
  2ca 
  is 
  

   the 
  sum 
  of 
  a 
  number 
  of 
  constants, 
  each 
  of 
  which 
  refers 
  to 
  

   an 
  atom 
  of 
  the 
  molecule 
  and 
  is 
  independent 
  of 
  physical 
  or 
  

   chemical 
  conditions. 
  The 
  writer 
  has 
  shown 
  that 
  if 
  the 
  above 
  

   formula 
  is 
  true, 
  there 
  is 
  a 
  similar 
  formula 
  for 
  the 
  surface 
  

   tension, 
  

  

  where 
  \ 
  is 
  the 
  surface 
  tension, 
  and 
  k'^ 
  a 
  constant 
  w^hich 
  is 
  

   the 
  same 
  for 
  all 
  liquids 
  at 
  corresponding 
  states. 
  Both 
  of 
  

   these 
  formulfe 
  are 
  shown 
  to 
  agree 
  well 
  with 
  the 
  experimental 
  

   facts. 
  

  

  By 
  means 
  of 
  the 
  above 
  and 
  certain 
  other 
  relations 
  given 
  in 
  

   the 
  previous 
  paper 
  the 
  following 
  relations 
  were 
  deduced: 
  — 
  

  

  ~=B%Ca, 
  (1) 
  

  

  pi 
  

  

  "^=^2. 
  (2) 
  

  

  L 
  denotes 
  the 
  internal 
  heat 
  of 
  evaporation, 
  and 
  B 
  and 
  H 
  

   are 
  constants 
  which 
  are 
  the 
  same 
  for 
  all 
  liquids 
  at 
  corre- 
  

   sponding 
  states. 
  

  

  Another 
  relation 
  similar 
  in 
  form 
  to 
  (1) 
  and 
  (2) 
  will 
  be 
  

   deduced 
  in 
  this 
  paper. 
  MlEca 
  will 
  be 
  expressed 
  as 
  a 
  function 
  

   of 
  y>, 
  7/i, 
  and 
  /3, 
  where 
  M 
  is 
  a 
  constant 
  similar 
  to 
  B 
  and 
  H. 
  

  

  The 
  internal 
  latent 
  heat 
  of 
  evaporation 
  of 
  a 
  liquid 
  is 
  given 
  

  

  * 
  Communicated 
  by 
  the 
  Author. 
  

  

  t 
  Phil. 
  Mag. 
  Oct. 
  1909. 
  

  

  X 
  Annalen 
  der 
  Physik, 
  iv. 
  p. 
  513 
  (1901). 
  

  

  Fhil. 
  Mag. 
  IS. 
  6. 
  Vol. 
  18. 
  No. 
  108. 
  Bee. 
  1909. 
  3 
  P 
  

  

  