﻿C. 
  Barus 
  — 
  Continuity 
  of 
  Solid 
  and 
  Liquid. 
  135 
  

  

  special 
  apparatus 
  used. 
  Nevertheless 
  I 
  made 
  two 
  sets 
  of 
  

   "measurements, 
  in 
  the 
  first 
  of 
  which 
  I 
  determined 
  the 
  resistance 
  

   of 
  the 
  thread 
  hk, 
  fig. 
  1, 
  between 
  fixed 
  terminals 
  of 
  zinc, 
  when 
  

   the 
  whole 
  apparatus 
  was 
  kept 
  at 
  successive 
  constant 
  tempera- 
  

   ture, 
  and 
  under 
  pressures 
  sufficient 
  to 
  insure 
  the 
  condensation 
  

   of 
  all 
  polarization 
  gases 
  and 
  the 
  presence 
  of 
  a 
  continuous 
  

   liquid 
  thread 
  of 
  zinc 
  sulphate 
  solution. 
  The 
  four 
  columned 
  

   table 
  2 
  contains 
  these 
  results, 
  where 
  R/R 
  100 
  is 
  the 
  relative 
  

   resistance 
  at 
  any 
  stated 
  temperature 
  in 
  terms 
  of 
  the 
  corre- 
  

   sponding 
  datum 
  for 
  100° 
  C. 
  At 
  100° 
  moreover 
  pressures 
  are 
  

   varied 
  for 
  the 
  measurement 
  of 
  the 
  pressure 
  coefficients 
  dis- 
  

   cussed 
  in 
  the 
  next 
  paragraph. 
  

  

  In 
  the 
  second 
  and 
  third 
  parts 
  of 
  the 
  table, 
  the 
  above 
  tube 
  

   AB 
  was 
  replaced 
  by 
  a 
  plain 
  straight 
  tube. 
  Resistances 
  are 
  

   much 
  smaller 
  here, 
  but 
  the 
  column 
  R/R 
  100 
  makes 
  all 
  the 
  

   data 
  comparable. 
  

  

  If 
  the 
  values 
  R/R 
  100 
  be 
  compared 
  graphically, 
  as 
  a 
  function 
  

   of 
  temperature 
  for 
  nearly 
  the 
  same 
  pressures, 
  the 
  results 
  of 
  

   all 
  the 
  series 
  in 
  table 
  2 
  are 
  in 
  good 
  accord. 
  Moreover 
  the 
  

   results 
  for 
  the 
  large 
  interval 
  6° 
  to 
  160°, 
  lie 
  on 
  a 
  curve 
  whose 
  

   form 
  closely 
  resembles 
  an 
  hyperbola. 
  From 
  this 
  point 
  of 
  view 
  

   the 
  data 
  are 
  remarkably 
  interesting 
  : 
  for 
  if 
  it 
  be 
  true, 
  then 
  a 
  

   suitable 
  inversion 
  of 
  the 
  locus 
  indicates 
  that 
  the 
  electric 
  con- 
  

   ductivity 
  of 
  the 
  electrolyte 
  varies 
  linearly 
  with 
  temperature. 
  

   Such 
  a 
  result 
  would 
  not 
  only 
  possess 
  theoretic 
  interest, 
  but 
  

   would 
  make 
  measurements 
  of 
  the 
  kind 
  necessary 
  in 
  the 
  present 
  

   paper 
  feasible 
  with 
  a 
  high 
  degree 
  of 
  certainty. 
  The 
  interpola- 
  

   tions 
  of 
  this 
  paper 
  were 
  made 
  empirically 
  however, 
  and 
  I 
  must 
  

   withhold 
  further 
  opinion 
  until 
  I 
  can 
  trace 
  the 
  locus 
  as 
  far 
  as 
  

   300°. 
  I 
  may 
  add 
  that 
  inasmuch 
  as 
  a 
  solution 
  of 
  maximum 
  

   conductivity 
  is 
  accompanied 
  by 
  a 
  smaller 
  temperature 
  coeffi- 
  

   cient, 
  advantages 
  of 
  such 
  a 
  solution 
  are 
  suggested, 
  §10. 
  

  

  13. 
  Volume 
  in 
  terms 
  of 
  resistance. 
  — 
  With 
  the 
  data 
  of 
  §§11 
  

   and 
  12 
  in 
  hand, 
  it 
  is 
  now 
  possible 
  to 
  express 
  the 
  volume 
  of 
  

   the 
  capillary 
  tube 
  hk, 
  figure 
  1, 
  in 
  terms 
  of 
  the 
  resistance 
  of 
  

   the 
  thread 
  of 
  electrolyte, 
  observed 
  at 
  any 
  temperature. 
  With 
  

   this 
  object 
  in 
  view, 
  I 
  computed 
  tables 
  for 
  each 
  of 
  the 
  tempera- 
  

   tures 
  of 
  the 
  isothermals 
  below, 
  §§15 
  to 
  21, 
  facilitating 
  the 
  

   further 
  reduction 
  by 
  graphic 
  methods. 
  Being 
  merely 
  of 
  pass- 
  

   ing 
  interest 
  the 
  tables 
  are 
  omitted 
  here. 
  

  

  14. 
  Pressure 
  coefficient 
  of 
  the 
  electrolyte. 
  — 
  The 
  results 
  in 
  

   table 
  2 
  for 
  variable 
  pressure 
  and 
  constant 
  temperature 
  are 
  

   summarized 
  in 
  the 
  small 
  table 
  4, 
  below. 
  Here 
  d 
  denotes 
  the 
  

   temperature, 
  R 
  the 
  resistance 
  of 
  the 
  thread, 
  and 
  Jc=oR/R 
  'dp 
  

   where 
  p 
  symbolizes 
  pressure, 
  the 
  pressure 
  coefficient 
  sought 
  

   R 
  a 
  holds 
  at 
  0° 
  G. 
  

  

  