﻿and 
  certain 
  Quantities 
  connected 
  uith 
  Capillarity, 
  905 
  

  

  The 
  writer 
  found 
  that 
  formula 
  (1), 
  first 
  given 
  in 
  the 
  

   previous 
  paper, 
  did 
  not 
  apply 
  to 
  the 
  first 
  three 
  of 
  the 
  above- 
  

   mentioned 
  liquids, 
  and 
  the 
  discrepancy 
  was 
  explained 
  in 
  the 
  

   same 
  way. 
  The 
  four 
  liquids 
  have, 
  therefore, 
  been 
  placed 
  

   separate 
  in 
  Table 
  I. 
  It 
  will 
  be 
  seen 
  that 
  the 
  constants 
  for 
  

   water 
  and 
  methyl 
  alcohol 
  differ 
  considerably 
  from 
  those 
  

   obtained 
  for 
  the 
  liquids 
  in 
  the 
  first 
  part 
  of 
  the 
  table. 
  The 
  

   values 
  of 
  the 
  constants 
  for 
  propyl 
  alcohol 
  and 
  acetic 
  acid 
  

   are, 
  however, 
  approximately 
  normal. 
  Since 
  polymerization 
  

   decreases 
  with 
  increasing 
  temperature 
  it 
  is 
  probably 
  small 
  

   at 
  the 
  critical 
  temperature, 
  or 
  perhaps 
  zero. 
  However, 
  the 
  

   polymerization 
  at 
  lower 
  temperatures 
  may 
  modify 
  the 
  value 
  

   of 
  the 
  critical 
  constants^ 
  and 
  thus 
  produce 
  a 
  departure 
  from 
  

   the 
  above 
  formula. 
  

  

  The 
  formula 
  (2) 
  was 
  tested 
  in 
  the 
  previous 
  paper 
  for 
  

   different 
  liquids 
  at 
  § 
  of 
  their 
  critical 
  temperatures. 
  In 
  

   Table 
  II. 
  the 
  same 
  formula 
  is 
  tested 
  for 
  the 
  critical 
  tem- 
  

   peratures. 
  H 
  appears 
  to 
  be 
  approximately 
  constant 
  for 
  all 
  

   the 
  liquids, 
  and 
  its 
  mean 
  value 
  is 
  24,'^%. 
  

  

  The 
  polymerized 
  liquids 
  are 
  placed 
  separately 
  in 
  the 
  table. 
  

   As 
  before, 
  they 
  show 
  considerable 
  deviations 
  from 
  the 
  law, 
  

   and 
  probably 
  for 
  the 
  same 
  reasons. 
  

  

  The 
  equations 
  (2) 
  and 
  (4) 
  when 
  referring 
  to 
  the 
  critical 
  

   state 
  may 
  be 
  written 
  

  

  

  Combining 
  these 
  two 
  we 
  obtain 
  

  

  o 
  

  

  2Jc 
  _ 
  M2 
  ^ 
  

   T: 
  H2 
  m' 
  

  

  

  

  which 
  is 
  the 
  well-known 
  empirical 
  law 
  of 
  Young 
  and 
  Thomas, 
  

   which 
  states 
  that 
  the 
  critical 
  temperature, 
  pressure, 
  and 
  volume 
  

   are 
  connected 
  in 
  the 
  same 
  way 
  as 
  are 
  the 
  temperature, 
  

   pressure, 
  and 
  density 
  for 
  a 
  perfect 
  gas. 
  Young 
  and 
  Thomas 
  

   expressed 
  their 
  results 
  in 
  the 
  form 
  

  

  Pc 
  T- 
  ? 
  

  

  A 
  m 
  

   where 
  K 
  is 
  the 
  usual 
  gas 
  constant 
  and 
  A 
  a 
  numerical 
  quantity 
  

  

  