Relation  between  Molecular  Conductivities. 
417 
(1)  the  temperature,  (2)  the  molecular  concentration,  and 
(3)  the  nature  of  the  acid.  Supposing  these  three  conditions 
be  fixed,  there  ought  to  be  a  constant  quantity  for  the  electrical 
conductivity  corresponding  to  H'  +  OH^H.OH. 
Let  /jlcux,  fJLVMjOn,  ft>vn2on,  fAi'^x,  fJLVbL2x,  represent  the  mole- 
cular conductivities  (all  measured  at  the  same  molecular 
concentration  v,  and  at  the  same  temperature)  of  the  acid 
HX,  of  the  bases  MxOH  and  M2OH,  and  of  the  salts  MXX 
and  M2X  respectively.     Then,  according  to  the  above, 
/UVnx  +  /U^MlOII  =  ^M1X  -f-  K, 
fACnx  -r  flVs^on.  =  P>V m2x  -f  K, 
where  K  is  a  constant. 
Hence        /j,cnx  +  fivMlou  —  fiv^x  =  fivnx  +  fiVu2ou  —  /^m2x. 
The  following  values,  calculated  from  the  data  in  the 
'Physikaliscli-Chemische  Tahellen,  von  Landolt  und  Born- 
stein  '  *   illustrate  the  above  : — 
v  (at  18°)  =                        '    1. 
2.  ;  io. 
32. 
100.    1000.    1024.  10,000. 
//i'*H.,S044-/*i;KOH:  -/*u£K0S04  ...  287 
j«t4H.>S044-^y]STa0H-/xy^K»o861...l284: 
ltv±H.SOi+tivLiOE.-tiv}iL\.$Oi ....  268 
300 !  317 
297   305 
282   314 
418 
420 
419 
387 
381 
390 
422       468    :    470 
413    !    481    I    461 
...     !    482    ! 
/uyHN03+/*i;KOH        -/t^KNO, 1  374 
/a'HN03  +  ai'NaOH      -/i^aI03  ...:304 
/xyHNOy-r-juviBaO.H.-^ABaN.O,  .    ... 
... 
423 
411 
492 
491 
473 
441 
428 
439 
429 
485       490 
494    !    480 
481 
/uHC14-/^K0H         -wvKCl  358 
/tt'HCl+/n;NaOH        -jivNaCl 358 
/^HCl-f^BaO.H.,  -//t/£BaC., !   ... 
/*yHCl4-/n>LiOH~    " -/uwLiOl-.." 344 
418 
408 
490 
492 
470 
493 
439 
433 
442 
437 
425 
489  485 
490  i    479 
490  ! 
491  ; 
uuIil+^vKOlT  -/zi'KI i  ... 
/uyHI+/xyNaOH-AtyNaI    !   ... 
AuHI+^yLiOH  -^Lil i  ... 
420 
427 
411 
/iuHI03+/iuKOH  -/iwKIO, ... 
juyHIOa+^wNaOH-jMi-Naia,  J  ... 
1 
I 
...  !  ... 
442 
441 
...     !    482 
...     |    481 
1 
The  last  equation,  by  subtracting  the  common   term  fivus. 
and  then  by  transposing,  becomes 
The  equation 
A^^oii — /£Vh3oii — /■*  yMAx — /<WMaX 
/"^M]oii~-AtrM2oii=Atrnlx— fivn.,\. 
*  The  table,  which  was  first  drawn  up  from  an  earlier  edition  ol' 
Landolt-Bornstein,  has  been  corrected  by  means  of  the  latest  (1905) 
edition  recently  published. 
