﻿300 
  Mr. 
  McClung 
  on 
  the 
  Rate 
  of 
  Recombination 
  of 
  

  

  But 
  quantity 
  of 
  electricity 
  = 
  number 
  of 
  ions 
  x 
  charge 
  on 
  an 
  

   ion. 
  Q 
  = 
  number 
  of 
  ions, 
  and 
  let 
  e 
  = 
  charge 
  on 
  an 
  ion 
  : 
  

  

  .'. 
  g 
  1 
  x 
  —j— 
  x 
  — 
  a 
  x3xl0 
  9 
  =Qxe. 
  

  

  r, 
  d, 
  1434 
  ci 
  

   Q= 
  ' 
  x 
  — 
  r— 
  x 
  - 
  x3. 
  

  

  b 
  1 
  e 
  

  

  The 
  value 
  of 
  N 
  may 
  be 
  determined 
  by 
  the 
  same 
  formula 
  if 
  

   we 
  substitute 
  d 
  2 
  for 
  the 
  deflexion 
  corresponding 
  to 
  N 
  and 
  c 
  2 
  

   for 
  the 
  capacity 
  in 
  the 
  circuit. 
  Substituting 
  the 
  mean 
  value 
  

   of 
  the 
  quantities 
  experimentally 
  observed, 
  viz. 
  : 
  — 
  

  

  we 
  obtain 
  

  

  d 
  l 
  — 
  24:'07 
  divisions 
  of 
  scale, 
  

  

  S=93-2 
  

  

  V 
  

  

  Cl 
  = 
  -00380 
  m.f., 
  

  

  

  n 
  24-07 
  1434 
  

   ^~93'2 
  x 
  i 
  x 
  

  

  •0038 
  

  

  x3 
  

  

  e 
  

  

  422 
  

  

  

  Also 
  

  

  exlO 
  2 
  * 
  

  

  ^2=104*5 
  divisions 
  of 
  scale, 
  

  

  c 
  2 
  =-00016 
  m.f. 
  

  

  ^_ 
  104-5 
  1434 
  -00016 
  

  

  -1M 
  — 
  ^o 
  n 
  X 
  ., 
  X 
  X 
  o 
  

  

  93*2 
  J 
  e 
  

  

  7722 
  

  

  ~exl0 
  4 
  ' 
  

   /. 
  g- 
  2 
  =7-076x6; 
  

  

  .-. 
  «= 
  478-9 
  X 
  7-076 
  e 
  

   = 
  3384 
  e. 
  

  

  This 
  value 
  of 
  a 
  represents 
  the 
  mean 
  value 
  of 
  a 
  number 
  of 
  

   determinations. 
  

  

  If 
  we 
  substitute 
  the 
  value 
  of 
  e 
  obtained 
  by 
  Prof. 
  J. 
  J. 
  

   Thomson, 
  namely 
  6*5 
  x 
  10 
  -10 
  , 
  then 
  a 
  becomes 
  2*20 
  xlO 
  -6 
  , 
  

   which 
  gives 
  the 
  absolute 
  value 
  of 
  the 
  coefficient. 
  

  

  This 
  value 
  of 
  the 
  coefficient 
  of 
  recombination 
  agrees 
  very 
  

   closely 
  with 
  that 
  obtained 
  by 
  Prof. 
  Townsend 
  for 
  gases 
  at 
  

   atmospheric 
  pressure 
  (Phil. 
  Trans, 
  vol. 
  cxciii. 
  1899) 
  by 
  an 
  

  

  