Page 46 - Radiochemistry and nuclear chemistry
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Nuclei,  Isotopes and Isotope Separation            35


               This  reaction  is quite undesirable as HF  is highly corrosive and solid UO2F 2 can plug  the
               pores of the membranes.  The tubing and cells of a plant are made principally of nickel and
               teflon  to overcome  the corrosion problems.
                (d)  In  order  to  transport  the  large  gas  volumes  and  to  keep  the  proper  pressure  drop
               across the membranes,  a gaseous diffusion plant requires a large number of pumps.  A large
               cooling capacity  is needed  to overcome the temperature  rise caused by compression of the
               gas.
                The work  required  to enrich uranium in 235U increases rapidly with the 235U content of
               the  product.  Because  of varying  domestic  prices  on  natural  uranium,  as  well  as  varying
               content  of  235U  in  uranium  obtained  from  used  reactor  fuel  elements,  so-called  toll
               enrichment has been  introduced.  In  this case,  the purchaser himself provides  the uranium
               feed into the separation plant and pays for the separative work required to make his desired
               product  out of the uranium  feexl provided.  Separative work  is defined  as

                               Separative work  =  W V(xw)  +  P V(xp) -F  V(XF)    (2.56)

               where  the separation potential  V(xi) is defined  by

                                      V(xi) =  (2x i  -  1) ln{xi/(1  -  xi) }      (2.57)

               As seen from (2.56),  separative work has the dimension of mass,  and can be thought of as
               the mass flow rate multiplied by the time required to yield a given quantity of product.  The
               cost of isotope separation is obtained by assigning a value to one separative work mass unit
               (kgSW  or  SWU).  A  1 GWe  nuclear  light water  reactor  station  requires  about  180  x  103
               SWU  in initial  fueling  and  then  70  -  90  x  103 SWU  for an annual  reload.
                In  w    the number of stages and  the  interstage  flow  relative  to the product  flow was
               given  for enrichment  of 235U from its natural  isotopic  abundance  of 0.71%  to  a  value  of
               80%.  With  a  waste  flow in which  the isotopic abundance  of 235U is 0.2%,  (2.48)  shows
               that  for  each  mole  of product  obtained  156  moles  of  feed  are  necessary.  In  more  recent
               designs  the  concentration  of 235U in  the  waste  is  increased  to  ~ 0.3 %  to  minimize  cost.
               Isotope separation through gaseous diffusion is a very energy-consuming process due to the
               compression  work and  cooling  required.  An annual  production  of  10 MSWU  requires  an
               installed  capacity  of  -  2900  MW  in  present  plants,  or  ~ 2500  kWh  SWU-1.  Improved
               technology  may  reduce  this  somewhat.  Gaseous  diffusion  plants  are  known  to  exist  in
               Argentina,  China,  France,  Russia and  the  United  States.  The  combined  capacity  of these
               plants  was  about  40  MSWU/y  at the end of 2000.


               2.8.5.  Electromagnetic isotope separation

                During  the Manhattan  Project of the United States,  electromagnetic  separation was used
               to  obtain  pure  235U.  This  process  is  identical  in  theory  to  that  described  for  the  mass
               spectrometer.  The  giant  electromagnetic  separators  were  called  calutrons  (California
               University Cyclotrons) and were after World-War II used at Oak Ridge National Laboratory
               to produce  gram  amounts  of stable isotopes of most elements up  to  a purity  of 99.9 %  or
               more.  Large capacity electromagnetic separators have also been developed and operated in
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