﻿Reactions 
  between 
  Two 
  Substances. 
  283 
  

  

  These 
  are 
  plotted 
  on 
  figs. 
  2 
  and 
  3, 
  and 
  the 
  curve 
  applies 
  to 
  

   any 
  ter-molecular 
  reaction 
  in 
  which 
  the 
  initial 
  concentrations 
  

   are 
  equal. 
  ^ 
  

  

  Take 
  (ii.) 
  B 
  in 
  excess, 
  i. 
  e. 
  p= 
  - 
  > 
  1. 
  We 
  have 
  

  

  v 
  r 
  a 
  

  

  ^-j 
  (i-x)np-x)-(i-^n 
  i0 
  - 
  e 
  p-x 
  i-x 
  i' 
  

  

  p=15. 
  

  

  X 
  -1 
  -2 
  -3 
  -4 
  -5 
  -6 
  -7 
  -8 
  -9 
  TO 
  

  

  Kt 
  -077 
  '180 
  -323 
  -440 
  -848 
  1-38 
  2-37 
  4-62 
  12-48 
  oo 
  

  

  p=2. 
  

  

  X 
  -1 
  -2 
  -3 
  -4 
  -5 
  '6 
  -7 
  8 
  -9 
  1-0 
  

  

  Kt 
  -046 
  -133 
  -234 
  "379 
  '595 
  -941 
  156 
  2'90 
  To 
  oo 
  

  

  P=3. 
  

   X 
  ...... 
  -1 
  -2 
  -3 
  -4 
  -5 
  -6 
  -7 
  -8 
  -9 
  1-0 
  

  

  Kt 
  038 
  -086 
  -151 
  -247 
  '373 
  -577 
  -932 
  1-68 
  4-01 
  oo 
  

  

  p=4. 
  

  

  X 
  -1 
  -2 
  -3 
  -4 
  -5 
  -6 
  -7 
  -8 
  -9 
  1-0 
  

  

  Kt 
  -028 
  -064 
  -111 
  -177 
  *274 
  -416 
  -665 
  107 
  27 
  oo 
  

  

  These 
  figures 
  and 
  the 
  graphs 
  plotted 
  from 
  them 
  (fig. 
  2) 
  

   will 
  apply 
  to 
  any 
  ter-molecular 
  reaction 
  of 
  the 
  type 
  2A 
  + 
  B->1 
  

   or 
  more 
  resultants, 
  B 
  being 
  in 
  excess. 
  

  

  Take 
  (iii.) 
  A 
  in 
  excess, 
  and 
  let 
  j=p>l, 
  then 
  we 
  have 
  

   Kf 
  _f* 
  dX 
  _ 
  __!__ 
  ( 
  p-X 
  _ 
  XQ-1) 
  7 
  

  

  where 
  'K 
  = 
  Jcb 
  2 
  . 
  

  

  X 
  -4 
  -7 
  -8 
  -9 
  1-0 
  

  

  Kt 
  -576 
  2-05 
  3-69 
  8-24 
  oo 
  

  

  X 
  1 
  -2 
  5 
  -7 
  -8 
  -9 
  94 
  1-0 
  

  

  Kt 
  -050 
  -114 
  -482 
  113 
  1'85 
  3*54 
  6-02 
  oo 
  

  

  P 
  =2. 
  

  

  X 
  -1 
  -2 
  -3 
  -4 
  -5 
  -7 
  -9 
  '95 
  -97 
  TO 
  

  

  Kt 
  -027 
  062 
  110 
  -162 
  -239 
  '503 
  1-29 
  1-87 
  2-37 
  oo 
  

  

  P=S. 
  

  

  X 
  -1 
  -5 
  -7 
  -9 
  -95 
  -98 
  10 
  

  

  Kt 
  -012 
  -093 
  -224 
  -531 
  -575 
  797 
  oo 
  

  

  