﻿Mr. 
  J. 
  Rose-Innes 
  on 
  the 
  Isothermals 
  of 
  Ether. 
  105 
  

  

  Young 
  {he. 
  cit. 
  p. 
  441) 
  ; 
  the 
  values 
  of 
  t 
  were 
  thence 
  obtained, 
  

   and 
  the 
  results 
  are 
  given 
  in 
  the 
  following 
  table 
  : 
  — 
  

  

  Volume. 
  

  

  T. 
  

  

  Volume. 
  

  

  r. 
  

  

  Volume. 
  

  

  T. 
  

  

  300 
  

  

  1035 
  

   860-6 
  

   827-3 
  

   84.11 
  

   7975 
  

   766-9 
  

   783-8 
  

   774-3 
  

   7753 
  

   780-2 
  

   7901 
  

   789-2 
  

   789-4 
  

  

  17 
  

  

  16 
  

  

  792-2 
  

   795-2 
  

   795-5 
  

   796-7 
  

   798-0 
  

   800-7 
  

   801-6 
  

   802-9 
  

   805-5 
  

   805 
  

   805 
  6 
  

   805-5 
  

   807-2 
  

  

  4 
  

  

  815-3 
  

   813-7 
  

   796-7 
  

   769-7 
  

   7355 
  

   681-9 
  

   662-6 
  

   6432 
  

   621-5 
  

   597-2 
  

   5712 
  

  

  250 
  

  

  3-7 
  

  

  200 
  

  

  15 
  

  

  3 
  3 
  

  

  150 
  

  

  14 
  

  

  3-0 
  

  

  100 
  

  

  13 
  

  

  12 
  

  

  2-75 
  

  

  2-5 
  

  

  75 
  

  

  50 
  

  

  11 
  

  

  2-4 
  

  

  40 
  

  

  10 
  

  

  9 
  

  

  2-3 
  

  

  30 
  

  

  22 
  

  

  25 
  

  

  20 
  

  

  8 
  

  

  21 
  

  

  7 
  

  

  20 
  

  

  19 
  .. 
  

  

  6 
  

  

  

  18. 
  . 
  

  

  5 
  

  

  

  

  III 
  calculating 
  this 
  table, 
  the 
  value 
  of 
  R 
  was 
  taken 
  = 
  .qq^ 
  - 
  

  

  An 
  examination 
  of 
  the 
  table 
  shows 
  that 
  r 
  remains 
  nearly 
  

   constant 
  for 
  all 
  large 
  volumes 
  down 
  to 
  about 
  vol. 
  3 
  ; 
  its 
  

   numerical 
  value 
  throughout 
  this 
  range 
  is 
  roughly 
  800. 
  The 
  

   only 
  exception 
  occurs 
  in 
  the 
  case 
  of 
  vol. 
  300, 
  but 
  the 
  value 
  

   of 
  r 
  is 
  here 
  so 
  erratic 
  that 
  it 
  is 
  clearly 
  subject 
  to 
  a 
  large 
  

   experimental 
  error. 
  

  

  We 
  have 
  still 
  to 
  try 
  how 
  far 
  the 
  formula 
  found 
  for 
  isopentane 
  

   can 
  be 
  made 
  by 
  alterations 
  of 
  the 
  constants 
  to 
  suit 
  the 
  experi- 
  

   mental 
  results 
  with 
  ether. 
  For 
  isopentane 
  it 
  was 
  found 
  that 
  

   fairly 
  good 
  concordance 
  with 
  experiment 
  could 
  be 
  secured 
  by 
  

   the 
  use 
  of 
  the 
  formula 
  

  

  RTf 
  e 
  ~\ 
  I 
  

  

  V- 
  v 
  \ 
  L 
  v 
  + 
  k—gv~ 
  2 
  J 
  v{v 
  + 
  k)' 
  

   where 
  R, 
  e, 
  k, 
  g, 
  and 
  I 
  are 
  constants 
  characteristic 
  of 
  the 
  gas*. 
  

   I 
  have 
  calculated 
  suitable 
  numerical 
  values 
  for 
  these 
  constants 
  

   in 
  the 
  case 
  of 
  ether 
  from 
  Ramsay 
  and 
  Young's 
  original 
  

   experimental 
  data; 
  the 
  values 
  are 
  given 
  in 
  the 
  following 
  

   table, 
  and 
  those 
  of 
  isopentane 
  are 
  added 
  for 
  the 
  sake 
  of 
  

   comparison 
  : 
  — 
  Ether. 
  Isopentane. 
  

  

  R 
  .... 
  840-34 
  86356 
  

  

  e 
  7-485 
  7-473 
  

  

  k 
  3-188 
  3-636 
  

  

  a 
  .. 
  4-4539 
  6*2318 
  

  

  / 
  5,095,070 
  5,420,800 
  

  

  * 
  This 
  formula 
  was 
  incorrectly 
  stated 
  in 
  my 
  former 
  paper 
  " 
  On 
  the 
  

   Isothermals 
  of 
  Isopentane 
  ;" 
  the 
  correct 
  form 
  is 
  that 
  given 
  above. 
  

  

  