﻿530 
  Dr. 
  F. 
  G. 
  Donnan 
  on 
  the 
  

  

  kations 
  which 
  traverse 
  a 
  section 
  ds 
  at 
  which 
  the 
  temperature 
  

   is 
  t 
  in 
  the 
  time 
  d6 
  in 
  positive 
  direction 
  of 
  x 
  is 
  

  

  ~~ 
  u 
  \ 
  h 
  - 
  + 
  &>eac 
  -7- 
  W5 
  dd. 
  

   \2 
  rfA' 
  </#/ 
  

  

  where 
  a 
  is 
  the 
  dissociation 
  corresponding 
  to 
  t. 
  

  

  For 
  the 
  corresponding 
  number 
  of 
  negative 
  gram-ions 
  in 
  the 
  

   opposite 
  direction 
  we 
  have 
  

  

  and 
  hence 
  for 
  the 
  current-density 
  i 
  in 
  the 
  positive 
  direction 
  

   of 
  x 
  

  

  [u 
  — 
  v 
  dp 
  , 
  x 
  de 
  "| 
  

  

  Putting 
  g=0, 
  we 
  obtain 
  the 
  known 
  equation 
  

  

  de 
  1 
  v 
  — 
  u 
  dp 
  . 
  ,. 
  s 
  

  

  -7- 
  = 
  -: 
  • 
  -t 
  1 
  , 
  (1.) 
  

  

  «<# 
  zweac 
  v-j-u 
  ax 
  

  

  de 
  de 
  doc 
  

   which 
  holds 
  accordingly 
  in 
  this 
  case. 
  But 
  t. 
  = 
  ~t- 
  jt, 
  and 
  

   1 
  77 
  at 
  ctx 
  at 
  

  

  dp 
  dp 
  dx 
  it 
  , 
  /• 
  \ 
  i 
  

  

  -tV 
  = 
  -f 
  — 
  r- 
  ; 
  so 
  that 
  (1. 
  ) 
  becomes 
  

  

  c?e 
  _ 
  1 
  v 
  — 
  u 
  dp 
  

  

  dt 
  2(oea,G 
  v-j-u 
  dt' 
  

   Since 
  p 
  = 
  2acR£, 
  

  

  f;=2« 
  c 
  E 
  + 
  2 
  c 
  R^ 
  

  

  a£ 
  dt 
  

  

  (ii.) 
  

  

  and 
  therefore 
  

  

  1 
  dp 
  _ 
  -p 
  R^6?« 
  

   2#c 
  rf£ 
  a 
  c/£ 
  ' 
  

  

  If 
  n 
  denote 
  the 
  migration-constant 
  of 
  the 
  kation, 
  we 
  have 
  

   furthermore 
  

  

  L 
  — 
  zn= 
  . 
  

  

  v 
  + 
  u 
  

  

  Hence 
  (ii.j 
  becomes 
  

  

  de 
  E 
  _ 
  _ 
  . 
  /, 
  t 
  du\ 
  

  

  and 
  therefore 
  

  

  ■•■-■»Wa( 
  1 
  _ao/l- 
  + 
  **!).- 
  V 
  . 
  . 
  (iy.) 
  

  

  we 
  ' 
  \ 
  a 
  dt 
  ) 
  v 
  '■ 
  

  

  