﻿510 
  Mr. 
  W. 
  Sutherland 
  : 
  Another 
  Method 
  of 
  

  

  and 
  HCI. 
  The 
  slowhy 
  moving 
  ions 
  Q 
  a 
  and 
  G$ 
  cause 
  most 
  of 
  

   the 
  viscous 
  resistance 
  of 
  electric 
  origin 
  ; 
  we 
  shall 
  assume 
  

   that 
  they 
  cause 
  it 
  all. 
  To 
  find 
  the 
  appropriate 
  l/\ 
  for 
  in- 
  

   troducing 
  in 
  the 
  righthand 
  side 
  of 
  (1) 
  we 
  note 
  that 
  with 
  

   pure 
  GaGci 
  we 
  should 
  use 
  l/A 
  oa 
  + 
  1/A 
  0? 
  ,, 
  say 
  2/A 
  , 
  and 
  with 
  

   pure 
  G 
  a 
  Na 
  1/A 
  0a 
  + 
  1/A 
  0l 
  , 
  so 
  that 
  a 
  mean 
  value 
  suitable 
  for 
  

   G 
  a 
  would 
  be 
  (3/A 
  + 
  l/A 
  ol 
  )/2, 
  which 
  is 
  nearly 
  3/2 
  A 
  . 
  So 
  

   for 
  G 
  b 
  we 
  should 
  get 
  3/2A 
  . 
  With 
  A 
  as 
  a 
  sort 
  of 
  mean 
  

   value 
  for 
  both 
  globulin 
  ions 
  we 
  have 
  l/\ 
  represented 
  by 
  

  

  3 
  / 
  2A 
  «- 
  

  

  Hardy 
  has 
  shown 
  (Journ. 
  of 
  Physiology, 
  xxxiii. 
  p. 
  251) 
  

   that 
  the 
  valency 
  of 
  globulin 
  is 
  probably 
  even, 
  so 
  we 
  shall 
  

   try 
  2 
  as 
  its 
  simplest 
  likely 
  value, 
  according 
  to 
  my 
  globulin 
  

   paper 
  (Joe. 
  cit.). 
  Now 
  G 
  a 
  when 
  associated 
  with 
  G 
  b 
  as 
  its 
  

   neighbour 
  would 
  give 
  2x2 
  for 
  viV 
  2 
  in 
  (2) 
  or 
  (6), 
  and 
  when 
  

   associated 
  with 
  Na 
  would 
  give 
  2x1. 
  Hence 
  for 
  the 
  mean 
  

   value 
  of 
  v 
  for 
  its 
  neighbour 
  we 
  take 
  3/2, 
  and 
  we 
  can 
  now 
  

   adapt 
  (8) 
  to 
  the 
  case 
  we 
  are 
  considering 
  by 
  introducing 
  into 
  

   its 
  righthand 
  side 
  A 
  0l 
  or 
  44 
  for 
  Na, 
  which 
  was 
  omitted 
  as 
  a 
  

   factor 
  in 
  comparing 
  Na 
  compounds 
  amongst 
  themselves. 
  

   Hence 
  for 
  the 
  mean 
  globulin 
  ion 
  of 
  assumed 
  valency 
  2 
  we 
  

   have 
  

  

  b(A 
  /2)\2?i 
  1 
  /{n 
  1 
  + 
  n 
  2 
  )}h/(?>/2y 
  = 
  0'0UDXU. 
  . 
  (16) 
  

  

  As 
  each 
  HCI 
  produces 
  two 
  globulin 
  ions, 
  m 
  should 
  be 
  

   replaced 
  by 
  2m 
  for 
  G 
  and 
  H 
  or 
  CI, 
  and 
  so 
  the 
  proper 
  value 
  

   of 
  b 
  to 
  use 
  in 
  this 
  equation 
  is 
  the 
  mean 
  of 
  0*9 
  and 
  0*9/2*. 
  

   The 
  appropriate 
  value 
  for 
  \2n 
  1 
  /(n 
  1 
  + 
  n 
  2 
  ) 
  [a 
  is 
  the 
  mean 
  of 
  

   those 
  for 
  n 
  1 
  =n 
  2 
  — 
  2, 
  and 
  n 
  x 
  = 
  2, 
  ft 
  2 
  =l, 
  or 
  1*050. 
  These 
  give 
  

   A 
  /2 
  =4*965, 
  and 
  so 
  A 
  = 
  9*93, 
  while 
  Hardy's 
  direct 
  measure- 
  

   ment 
  by 
  the 
  method 
  of 
  Lodge 
  shows 
  that 
  it 
  is 
  about 
  10. 
  

   With 
  4*965 
  for 
  A 
  /v 
  in 
  (11) 
  we 
  get 
  B 
  = 
  9506. 
  Hence, 
  with 
  

   x 
  for 
  the 
  number 
  of 
  C 
  atoms 
  in 
  the 
  globulin 
  ion, 
  by 
  means 
  

   of 
  the 
  following 
  percentage 
  composition 
  of 
  globulin 
  and 
  the 
  

   values 
  of 
  B 
  for 
  the 
  atoms 
  

  

  C. 
  H. 
  N. 
  O. 
  S. 
  

  

  Percent 
  5271 
  7*01 
  15*85 
  2332 
  Ml 
  

  

  Atomic 
  B 
  8 
  4 
  8 
  6 
  18 
  

  

  we 
  get 
  the 
  equations 
  12 
  ^ 
  = 
  0*52 
  71 
  times 
  the 
  mass 
  of 
  the 
  

   globulin 
  ion 
  (H 
  = 
  1), 
  and 
  

  

  J"«x 
  12 
  (l 
  7 
  ' 
  01 
  J.« 
  15 
  " 
  85 
  -l.fi 
  33 
  ' 
  32 
  J.1S 
  1-11 
  Vl 
  T* 
  H7\ 
  

  

  