﻿384 
  Linebarger 
  — 
  Some 
  Relations 
  between 
  Temperature^ 
  

  

  where 
  F 
  is 
  a 
  constant 
  number 
  for 
  all 
  bodies. 
  But 
  equation 
  (5) 
  

   is 
  nothing 
  else 
  than 
  the 
  mathematical 
  expression 
  for 
  " 
  Trouton's 
  

   law," 
  and 
  again 
  the 
  rightfulness 
  of 
  this 
  name 
  may 
  be 
  justly 
  

   questioned, 
  for 
  the 
  German 
  translation 
  of 
  van 
  der 
  Waal's 
  boot 
  

   appeared 
  three 
  years 
  before 
  Trouton's 
  paper. 
  Van 
  der 
  Waals 
  

   called 
  to 
  mind 
  the 
  similarity 
  of 
  the 
  expression 
  as 
  developed 
  

   just 
  above 
  to 
  the 
  law 
  proposed 
  by 
  Desprets 
  (loc. 
  cit.), 
  and 
  drew 
  

   up 
  a 
  little 
  table 
  of 
  data 
  to 
  see 
  if 
  experiment 
  corroborated 
  

   theory, 
  which 
  in 
  a 
  certain 
  measure 
  he 
  found 
  to 
  be 
  the 
  case. 
  

  

  Bouty* 
  sought 
  to 
  transform 
  the 
  fundamental 
  equation 
  (1) 
  so 
  

   as 
  to 
  get 
  the 
  quotient 
  of 
  the 
  molecular 
  heat 
  of 
  vaporization 
  by 
  

   the 
  square 
  of 
  the 
  absolute 
  temperature 
  equal 
  to 
  a 
  constant. 
  

   His 
  course 
  of 
  reasoning 
  is 
  as 
  follows. 
  If, 
  in 
  the 
  formula 
  

  

  P 
  = 
  T(«-«')J 
  (6) 
  

  

  the 
  specific 
  volume 
  of 
  the 
  liquid 
  be 
  neglected 
  in 
  comparison 
  

   with 
  that 
  of 
  the 
  vapor, 
  and 
  if 
  the 
  density 
  of 
  the 
  latter 
  be 
  

   normal, 
  it 
  ensues 
  that 
  

  

  Dpcp' 
  273' 
  { 
  ' 
  } 
  

  

  where 
  D 
  is 
  the 
  absolute 
  specific 
  gravity 
  of 
  hydrogen 
  at 
  the 
  

   temperature 
  zero 
  and 
  under 
  the 
  pressure 
  of 
  760 
  mctl 
  of 
  mercury. 
  

   By 
  the 
  combination 
  of 
  (6) 
  and 
  (7) 
  the 
  equation 
  

  

  ^=2vft- 
  7^ 
  (8) 
  

  

  is 
  obtained; 
  and 
  if 
  T 
  be 
  the 
  boiling 
  point 
  under 
  the 
  pres- 
  

   sure 
  p„ 
  

  

  '*273DWt, 
  

  

  If 
  it 
  be 
  admitted 
  with 
  Dalton 
  that 
  all 
  vapors 
  have 
  the 
  same 
  

   tensions 
  at 
  temperatures 
  equidistant 
  from 
  the 
  boiling 
  points 
  of 
  

   the 
  liquids 
  which 
  give 
  them 
  off, 
  the 
  expression 
  

  

  (clp_\ 
  

  

  must 
  be 
  the 
  same 
  for 
  all 
  liquids, 
  and 
  the 
  expression 
  

  

  P 
  (10) 
  

  

  

  

  becomes 
  equal 
  to 
  a 
  constant. 
  

  

  Although 
  Bouty 
  is 
  inclined 
  to 
  admit 
  that 
  Dalton's 
  " 
  law 
  " 
  is 
  

   incorrect, 
  and 
  hence 
  (10) 
  cannot 
  be 
  constant, 
  he 
  gives 
  a 
  table 
  

   of 
  " 
  constants 
  " 
  for 
  a 
  number 
  of 
  liquids, 
  of 
  which, 
  as 
  de 
  Heen 
  

  

  * 
  Journ. 
  de 
  Phys., 
  II, 
  iv, 
  26. 
  

  

  ); 
  (9) 
  

  

  