﻿the 
  Unit-Steve 
  Theory. 
  

  

  69 
  

  

  The 
  remarkable 
  consistency 
  of 
  the 
  numbers 
  representing 
  

   the 
  ratios 
  suggests 
  the 
  possibility 
  of 
  obtaining 
  approximate 
  

   values 
  of 
  V/W; 
  and 
  thus 
  of 
  the 
  apparent 
  volumes 
  of 
  hydrogen, 
  

   without 
  taking 
  the 
  contractions 
  into 
  consideration. 
  This 
  is 
  

   done 
  by 
  finding 
  by 
  difference 
  the 
  apparent 
  volumes 
  of 
  the 
  

   homologous 
  increment 
  CH 
  2 
  and 
  then 
  dividing 
  by 
  6. 
  The 
  

   following 
  table 
  shows 
  the 
  closeness 
  of 
  the 
  correspondence 
  

   between 
  the 
  values 
  of 
  V/W 
  obtained 
  in 
  this 
  way 
  and 
  those 
  

   derived 
  by 
  taking 
  the 
  contractions 
  into 
  account. 
  

  

  Table 
  VI. 
  

   Volumes 
  of 
  V/W 
  for 
  the 
  Olefines 
  by 
  differences. 
  

  

  T. 
  

  

  Vol. 
  of 
  

   14 
  H 
  28 
  ]=|. 
  

  

  Vol. 
  of 
  

   C 
  l2 
  H 
  24 
  l=|. 
  

  

  A 
  for 
  20H 
  2 
  . 
  

  

  12* 
  

  

  V/W 
  from 
  

  

  ^12^26- 
  

  

  Diff, 
  

  

  M.P 
  

  

  „ 
  +10 
  c 
  ... 
  

   „ 
  +20°... 
  

   „ 
  +30°... 
  

   ! 
  „ 
  +40°... 
  

   ., 
  +50°... 
  

  

  246-90 
  

   249-20 
  

   25143 
  

  

  253-78 
  

   256-14 
  

   258-57 
  

  

  211-21 
  

   213-14 
  

   215-11 
  

  

  217-08 
  

   219-21 
  

   221-29 
  

  

  35-69 
  

   3606 
  

   36-32 
  

   36-70 
  

   36-93 
  

   37-28 
  

  

  2-975 
  

   3-005! 
  

   3-027 
  

   3-058 
  

   3-078 
  

   3-106 
  

  

  2-970 
  

   2-997 
  

   3-025 
  

   3-053 
  

   3-080 
  

   3-109 
  

  

  +0-005 
  

  

  +0-008 
  

   +0-002 
  

   +0-005 
  

   -0-002 
  

   -0-003 
  

  

  

  

  

  

  Mean 
  d 
  

  

  ifference 
  ... 
  

  

  +0-002 
  

  

  The 
  differences 
  only 
  affect 
  the 
  third 
  decimal 
  place 
  and 
  the 
  

   mean 
  error 
  is 
  quite 
  small, 
  and 
  this 
  in 
  spite 
  of 
  the 
  unavoidable 
  

   discrepancies 
  introduced 
  by 
  this 
  method 
  of 
  calculation. 
  The 
  

   apparent 
  volumes 
  of 
  carbon 
  and 
  hydrogen 
  are 
  thus 
  similar 
  

   in 
  the 
  paraffin 
  and 
  the 
  olefin 
  series 
  at 
  the 
  melting-point 
  and 
  

   at 
  equal 
  intervals 
  of 
  temperature 
  therefrom. 
  

  

  It 
  has 
  been 
  shown 
  that 
  the 
  specific 
  gravities 
  of 
  the 
  normal 
  

   paraffins 
  at 
  equal 
  intervals 
  of 
  temperature 
  from 
  the 
  respective 
  

   melting-points 
  are 
  equal 
  to 
  fractions 
  of 
  their 
  specific 
  gravities 
  

   at 
  those 
  points. 
  It 
  is 
  remarkable 
  that 
  similar 
  relations 
  are 
  

   true 
  for 
  the 
  olefins, 
  and 
  since 
  these 
  substances 
  are 
  not 
  

   believed 
  to 
  be 
  associated, 
  the 
  probability 
  that 
  the 
  4 
  : 
  1 
  rule 
  

   is 
  a 
  natural 
  relation 
  is 
  greatly 
  increased. 
  

  

  The 
  results 
  that 
  have 
  been 
  obtained 
  by 
  a 
  study 
  of 
  the 
  

   saturated 
  normal 
  paraffins 
  and 
  of 
  the 
  olefins 
  are 
  placed 
  side 
  

   by 
  side 
  in 
  the 
  following 
  table 
  (p. 
  70) 
  for 
  purposes 
  of 
  

   comparison. 
  

  

  