Page 294 - Radiochemistry and nuclear chemistry
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278                  Radiochemistry  and Nuclear  Chemistry

              homogenization of oil products.  Other uses have been the addition of vitamins to flour, coal
              powder to rubber,  water and gas to oil  fields,  etc.



              9.6.2.  Liquid  volumes  and flows

                The liquid volume of a closed system may be difficult to calculate from external container
              dimensions,  particularly  if there  is  a  mixing  action,  either  by  external  circulation  or  by
              internal stirring.  For example,  sulfuric acid volume is desired in an alkylation plant where
              extensive  intermixing  between  acid  and  hydrocarbon prevents  a  well--defined  level  from
              forming.  137Cs is added to the sulfuric acid and  from the dilution of the added  tracer  the
              total volume of acid is calculated.
                Another method is applicable to determining volumes of tanks through which  there  is a
              known constant flow.  A tracer batch is put into the incoming line. Mathematical treatment,
              assuming  complete  immediate  mixing  of  the  incoming  stream  with  the  vessel  contents,
              predicts  that  the  tracer  concentration  in  the  tank  falls  off  exponentially  with  a  rate
              determined by  throughput F  and volume  V according to the equation

                                             R  =  R 0 e -Ft/v                     (9.24)

              where R 0 is the counting rate at zero time (break through of radioactivity at tank exit) and
              t  is the time when the count rate R is obtained at the same point.
                The flow rate F  of rivers and streams can be measured by injection of a radionuclide and
              measurement  of  the  time  for  its  arrival  at  detectors  placed  downstream.  Because  of
              turbulence  the  radioactive  "cloud"  becomes  quite  diffuse.  Therefore  a  more  efficient
              technique called  "total count" is used. A known amount (A0) of the radionuclide is injected
              into  the  fiver and  a downstream detector  registers a  total count (Riot) as the radioactivity
              passes;  the faster it passes,  the lower is the measured radioactivity.  Thus


                                             F  =  ~k A0 / Rtot                    (9.25)

                 is  the  counting  efficiency  which  has  to  be  determined  under  known  conditions.  The
              technique  takes into consideration both longitudinal and transversal  mixing.


              9.6.3.  Wear and  corrosion


                Wear and  materials transfer are easily followed if the material undergoing wear is made
              radioactive.  This has been used for studying wear of parts in automobile engines,  cutting
              tools, ball-bearings, furnace linings, paint abrasions, etc. In this case it is important that the
              surface undergoing wear has a high specific radioactivity.  If the material cannot be tagged
              by adding (e.g. plating) a radionuclide,  the material has to be activated by irradiation (e.g.
              by accelerator)  to produce the radioactive species.
                Corrosion  in  gas  and  oil  pipe-lines  on  the  sea  floor  is  monitored  by  welding  patches
              containing a series of long-lived radionuclides at different material depth into the pipe wall
              during construction of the pipe-line. Wall corrosion will remove one isotope after the other
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