﻿OF 
  THE 
  SPECIFIC 
  HEAT 
  OF 
  LIQUID 
  WATER. 
  

  

  443 
  

  

  ^=l 
  + 
  a(T-T 
  ) 
  2 
  

  

  K, 
  

  

  

  KdT 
  

  

  (20 
  

   (3.) 
  

  

  K 
  ~K 
  (T 
  

  

  = 
  1 
  + 
  I 
  { 
  (T, 
  - 
  T 
  ) 
  2 
  + 
  (T 
  2 
  - 
  T 
  ) 
  (T, 
  - 
  T^ 
  + 
  (T, 
  - 
  T 
  )»} 
  

  

  The 
  following 
  Table 
  exhibits 
  a 
  comparison 
  between 
  the 
  results 
  of 
  equation 
  (3.) 
  

   and 
  those 
  of 
  the 
  five 
  groups 
  of 
  experiments 
  already 
  referred 
  to 
  : 
  — 
  

  

  Table 
  II. 
  

  

  Ti 
  

  

  T 
  2 
  

  

  T 
  3 
  

  

  K2, 
  3 
  

   &1, 
  2 
  

  

  by 
  Experiment. 
  

  

  K 
  2 
  ,3 
  

  

  K.1,2 
  

   by 
  the 
  Empi- 
  

   cal 
  Formula. 
  

  

  Difference. 
  

  

  11-97 
  

  

  20°-77 
  

  

  107-79 
  

  

  1-00375 
  

  

  1-00409 
  

  

  + 
  0-00034 
  

  

  8-39 
  

  

  17-70 
  

  

  109-29 
  

  

  1-00655 
  

  

  1-00414 
  

  

  -0-00241 
  

  

  12-96 
  

  

  26-31 
  

  

  159-74 
  

  

  1-00779 
  

  

  1-00959 
  

  

  + 
  0-00180 
  

  

  8-95 
  

  

  23-94 
  

  

  172'69 
  

  

  1-01019 
  

  

  ' 
  1-01055 
  

  

  + 
  0-00036 
  

  

  12-97 
  

  

  28-69 
  

  

  186-51 
  

  

  1-01419 
  

  

  1-01248 
  

  

  -0-00171 
  

  

  A 
  third 
  Table 
  is 
  annexed, 
  which 
  may 
  be 
  found 
  practically 
  useful. 
  It 
  contains 
  

   the 
  results 
  of 
  the 
  empirical 
  formula? 
  (2.) 
  and 
  (3.), 
  for 
  every 
  tenth 
  degree 
  of 
  the 
  

   centigrade 
  scale 
  from 
  0° 
  to 
  260°. 
  

  

  K 
  

  

  The 
  column 
  headed 
  ^ 
  shews 
  the 
  ratio 
  of 
  the 
  specific 
  heat 
  at 
  T 
  to 
  the 
  specific 
  

  

  K 
  n 
  

  

  heat 
  at 
  0°. 
  That 
  headed 
  -~ 
  shews 
  the 
  ratio 
  of 
  the 
  mean 
  specific 
  heat 
  between 
  

   and 
  T 
  to 
  the 
  specific 
  heat 
  at 
  0°. 
  

  

  1 
  T 
  

   The 
  column 
  headed 
  ^ 
  f 
  K 
  d 
  T 
  shews 
  the 
  ratio 
  of 
  the 
  heat 
  required 
  to 
  raise 
  

  

  a 
  given 
  weight 
  of 
  water 
  from 
  0° 
  to 
  T, 
  to 
  the 
  heat 
  required 
  to 
  raise 
  the 
  same 
  weight 
  

   of 
  water 
  from 
  the 
  temperature 
  of 
  maximum 
  density 
  to 
  one 
  degree 
  above 
  it. 
  

  

  