﻿relation 
  to 
  Pressure 
  and 
  Temperature. 
  

   Employing 
  the 
  substitutions, 
  

  

  215 
  

  

  f- 
  1 
  + 
  1 
  

  

  

  

  = 
  1 
  _ 
  J^ 
  

  

  L 
  U 
  x 
  Vi 
  l 
  2 
  U 
  2 
  V 
  2 
  

  

  B. 
  1 
  =2p 
  1 
  t 
  1} 
  B 
  2 
  =2p 
  2 
  t 
  2 
  , 
  

  

  Ki 
  = 
  'dpfafa 
  + 
  i'i), 
  K 
  2 
  = 
  %p 
  2 
  t 
  2 
  (u 
  2 
  + 
  r 
  2 
  ), 
  

  

  L 
  x 
  = 
  3/j 
  2 
  A 
  - 
  6 
  r 
  /i 
  A 
  + 
  2/#„ 
  L 
  2 
  = 
  3/ 
  2 
  2 
  A 
  - 
  6g 
  2 
  A 
  + 
  2/ 
  25 
  7 
  2 
  , 
  

  

  M 
  x 
  ^ 
  9/? 
  + 
  9/ 
  : 
  A 
  - 
  8 
  ( 
  (7i, 
  Mo 
  -= 
  9/ 
  2 
  2 
  4- 
  9/ 
  2 
  A 
  - 
  Sg 
  2 
  , 
  

  

  N 
  1= 
  = 
  16 
  A 
  + 
  8/;, 
  N 
  2 
  = 
  16 
  A 
  + 
  8/ 
  2 
  , 
  

  

  the 
  critical 
  volume 
  is 
  a 
  root 
  of 
  the 
  cubic 
  

  

  (H 
  t 
  L 
  2 
  - 
  HoLO 
  r 
  3 
  - 
  (HA 
  - 
  HoMi 
  + 
  K 
  a 
  L 
  2 
  - 
  B^LJ 
  r 
  2 
  

   + 
  (H^-H^ 
  + 
  KA-K^H-fKA 
  -K.N0 
  =0. 
  

  

  Deduction 
  of 
  the 
  cubic 
  equation 
  in 
  r 
  . 
  

   From 
  equation 
  (1) 
  

  

  {- 
  + 
  ( 
  1 
  -^)(^ 
  ) 
  -' 
  r 
  )+|} 
  (3 
  *- 
  1) 
  

  

  + 
  {*+(l-^-*)+^}'(3*-l)-l^ 
  

  

  ♦•(HM^)- 
  1 
  * 
  

  

  .-. 
  M3>+3^-2)=16^+^|+| 
  -JL) 
  

  

  