520  M.  G.  Quincke  on  Electrolysis,  and  the 
oJ  be  substituted  in  equation  (9),  then 
where  the  negative  sign  at  — ,  for  the  partial  molecules  liberated 
at  the  anode,  is  omitted. 
—  is  the  number  of  partial  molecules  separated  at  the  cathode 
in  the  unit  of  time,  each  of  which  is  the  carrier  of  a  quantity 
of  electricity  e.     To  the  metal  of  which  the  cathode  is  formed 
m 
the  quantity  of  electricity  Q=  —  e  is  thereby   communicated. 
tt 
ijnrf 
In  like  manner,  to  the  metal  of  the  anode,  from  the  —  partial 
m! 
molecules  separated  at  it,  the  quantity  of  electricity  Q'=—  e7  will 
be  given  up ;  and  we  have 
Q=-e=f^(Ce-CeOO 
CL  A 
(18a) 
These  quantities  of  electricity,  again,  according  to  the  sign  of  e 
or  e'  may  be  either  positive  or  negative. 
If  J  be  the  intensity  of  the  current  in  the  metal  wire  which 
carries  the  electrical  current  either  to  or  from  the  liquid,  from 
the  remarks  at  the  commencement  of  this  section  the  increase 
of  electricity  which  the  first  section  of  the  metallic  cathode  plate 
experiences  in  the  unit  of  time  is  =  —2  J,  and  the  increase  of  the 
last  section  of  the  metal  anode  plate  is  =  +  2J. 
If  there  be  no  accumulation  of  free  electricity  in  these  metal 
electrodes,  then  must 
Q-2J=0,     Q'  +  2J  =  0.        .     .     .     (19a) 
In  this  reasoning  it  is  assumed  that  entire  molecules  of  one 
salt  only  are  decomposed.  If  several  salts  and  at  the  same  time 
the  solvent  are  decomposed,  we  have,  instead  of  equations  (16a), 
(17a),  (18a),  and  (19a),  if  we  discriminate  the  various  constants 
for  the  different  decomposed  substances  by  the  index  r,  the  more 
general  equations 
S*=2,  (?£ er  +  ?£  «»,)  =  iZrMC^+O,  «?),  .     (16) 
