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1 2 8               Basic physical chemistry

              6.9 shows  that if the concentration of one of the reactants is decreased
              {[Cr(s)] went from  I  M  to 0.5 M}, and the concentration of one of the
              products  is  increased  {[Cr 3 + (aq)]  went  from  1  M  to  2  M},  the  cell
              potential  is  decreased  (from  0.74  V  to  0.73  V  in  this  case).  This  is
              because an  increase in the concentration of one of the products and a
              decrease  in  the  concentration  of  one  of  the  reactants  reduces  the
                            n
              forward  reactio .   Left to  itself,  a chemical system will move  toward
              its  equilibrium  state.  When  it  reaches  this  state  Kc = Q  (see  Section
              1 . 3 )   and,  from  Eqs.  (6.22)  and  (6.26),  Ecen = 0 .   We  have also seen  in
              Section  2 . 4   that  when  a  chemical  system  is  at  equilibrium  dG =  O .
              Hence,  when the species in an electrochemical cell are in  equilibrium,
              the Gibbs free energy is a minimum and the cell generates zero electric
              potential difference (i.e . , "the battery has  run down ") .



                            6.8  Redox  potentials;  Eh-pH  diagrams
              In geochemistry,  the ability of an environmental  system to oxidize or
              reduce, as measured by its electrode potential , is often called  its redox
              potential.  It  is  given  the  symbol  Eh  (where  "h"  indicates  that  the
              reference half-cell is hydrogen).  The Eh is analogous to p H  ,   in that it
              is  a  measure  of the  ability of a  system to  supply  or to  take  up elec­
              trons,  while the pH  of a  system measures its ability to supply or take
              up protons.  If a  system has a propensity for supplying electrons (i.e . ,
              if it provides a good  reducing environment for an oxidant),  it will have
              a  low  value  of  Eh  (i.e. ,  be high  up the  list  in Table 6 . 2 ) .   If a  system
              has  a  propensity  for consuming  electrons  (i. e . ,  if it  provides  a  good
              oxidizing environment for a reductant ,   it will have a high value of Eh
                                                )
              (i.e . ,   be low down in the list in Table 6 .2) .
                There  are  limits  to  the  ranges  of values  of  Eh  and  pH  in  natural
              environments.  For  example,  some  of  the  most  acidic  solutions  in
              nature,  with pH  values  below  zero,  occur near active  volcanoes  due
                       i
              to the em s sions of acidic gases. However, these acidities are quickly
              reduced  by  reactions with soils  and rocks .  Complete  neutralization is
              generally not obtained because of the buffering capacity of C02 from
              the  air  (see  Section  5 . 1 3 ) .   Thus,  the  pH  values  of  natural  systems
              generally  lie in the  range  5  to  6, with  4  as  a rough lower limit.  Very
              basic  solutions ,  with  pH  values  up  to about  1 1 ,   can  form  if COrfree
                                                                    s
              water  is  in  contact  with  carbonate  rocks or  certain  silicate .   Again ,
              however,  because  C02  acts  as  a  buffer,  the  pH  values  of  surface
              waters generally do  not rise above about 9.
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