﻿Interionic 
  Force 
  in 
  Electrolytes. 
  219 
  

  

  Appendix. 
  

  

  The 
  problem 
  to 
  be 
  solved 
  is 
  as 
  follows 
  : 
  — 
  

   Being 
  given 
  

  

  (1) 
  gL 
  = 
  K 
  + 
  D(C 
  7 
  )» 
  

  

  an 
  empirical 
  equation 
  for 
  an 
  experimental 
  fact 
  when 
  7 
  stands 
  

   for 
  — 
  > 
  

  

  \ 
  

  

  (2) 
  0= 
  c 
  + 
  o', 
  F=p+p', 
  

  

  where 
  the 
  capitals, 
  undashed, 
  and 
  dashed 
  letters 
  mark 
  the 
  

   total, 
  molecular, 
  and 
  ionic, 
  concentrations 
  and 
  pressures. 
  

  

  

  (3) 
  

  

  

  c' 
  

  

  7= 
  U' 
  

  

  

  

  

  an 
  

  

  assumption 
  

  

  which 
  the 
  

  

  result 
  of 
  the 
  calculation 
  

  

  shows 
  

  

  to 
  

  

  be 
  

  

  erroneous, 
  

  

  

  

  

  

  

  

  (*) 
  

  

  dp 
  

   c 
  

  

  dp' 
  

  

  c' 
  

  

  dP 
  

  

  ' 
  ' 
  

  

  

  

  a 
  thermodynamic 
  result 
  indisputable 
  in 
  all 
  cases 
  if 
  the 
  

   phenomenon 
  is 
  to 
  be 
  ascribed 
  to 
  dissociation, 
  

  

  (5) 
  p 
  = 
  RTc, 
  but 
  y 
  is 
  not 
  = 
  R/JV, 
  

  

  an 
  admission 
  that 
  the 
  failure 
  of 
  the 
  strict 
  mass-action 
  law 
  is 
  

   connected 
  with 
  the 
  non-obedience 
  of 
  p' 
  to 
  the 
  gas 
  law 
  (this 
  

   has 
  to 
  be 
  made 
  for 
  either 
  p 
  or 
  p' 
  if 
  (4) 
  is 
  to 
  hold), 
  

  

  t 
  F 
  

  

  (6) 
  

  

  Raxr 
  

  

  a 
  thermodynamic^ 
  approximate 
  equation 
  indisputable 
  in 
  dilute 
  

   solutions 
  — 
  express 
  — 
  as 
  a 
  function 
  of 
  the 
  measured 
  quantities 
  

   Cand^- 
  - 
  T 
  ° 
  

  

  We 
  have 
  from 
  (1), 
  (2), 
  and 
  (3), 
  

  

  (7) 
  -=K 
  + 
  Dc'"S 
  

  

  and 
  from 
  (4) 
  and 
  (5), 
  

  

  dp'=-RTdc. 
  

  

  r 
  c 
  

  

  