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Detectors  385
             the components of the previous sample have been   sessed by a body  by virtue  of the motion  of  the
             eluted from the column. It is therefore  advanta-   molecules of which it  is  composed.  Raising  the
             geous to arrange the analytical conditions so that   temperature  of  the body increases the energy of
             the sample is  eluted as quickly as possible, con-   the  molecules by  increasing  the  velocity  of  the
             sistent with  adequate resolution  of  the peaks of   molecular motion.
             interest. Two techniques commonly used in pro-   In solids the molecules do not alter their position
             cess gas chromatography,  and now finding more   relative to one another but  vibrate about a mean
             applicatiomn in the laboratory, are “heart cut” and   position, while  in  a  liquid  the  molecules  vibrate
             “backflush.”  Both  techniques  rely  on  an   about mean  positions, but  may  also move  from
             understanding of the components being analyzed   one  part  of  the  liquid  to  another.  In  a  gas  the
             and their  elution times on various phases. With   molecular motion is  almost entirely translational:
             these techniques,  the analytical  chemist chooses   the molecules  move from  one part  of  the  gas  to
             to analyze only those components in which he or   another, only impeded by  frequent intermolecular
             she is interested and vents the balance to “waste.”   collisions and collisions with the walls vessel. The
               Heart cut  is  the fastest  way  to separate trace   collisions with the walls produce the pressure of the
             level  concentrations  of  components  when  they   gas on the walls.  In  a  so-called  “perfect gas” the
             elute on si tail of a major component. Using two   molecules are regarded as being perfectly elastic  so no
             columns, the heart cut valve diverts the effluent of   energy is dissipated by the intermolecular collisions.
             the heart  cut column  to either  to vent or to the   Consideration of the properties of a gas which
             analysis column  for further  separation.  Flow  of   follow  as  a  consequence  of  the  motion  of
             carrier  gas  in  both  columns  is  maintained  the   its  molecules is  the  basis  of  the  kinetic  theory.
             same by  using restriction  orifices. Normally, the   Using  this  theory  Maxwell  gave  a  theoretical
             effluent  of the  heart  cut  column  is  diverted  to   verification  of  laws which  had  previously  been
             vent, but when a component of interest appears,   established  experimentally.  These  included
             it  is  diverted  to  the  analysis  column  and  then   Avogadro’s law, Dalton’s law of partial pressures,
             returns  to  its  venting  position.  In  this  way  a   and Graham‘s law of diffusion.
             “cut” containing only the component(s) of interest   Since heat  is the energy of  motion  of  the gas
             and a narrow  band of the background  compon-   molecules, transfer of heat, or thermal conductiv-
             ent are introduced to the analytical column.   ity, can  also be  treated by  the kinetic theory.  It
               Reversing the flow of carrier gas in the direc-   can be shown that the thermal conductivity K of
             tion opposite that of the sample injection is called   component S is given by
             backflushing.  Therefore,  backflushing  a column
             results  in  any  components  still  in  the  column   Ks  = tpVXC,
             being  swept  back  to  the  point  of  injection  in   where p is the gas density, Vis the mean molecular
             approximately  the same amount of  time it took   velocity, X  is the mean  free path, and  C,  is  the
             to flow to ;their present location in the  column.   specific heat  at constant  volume. Thus, thermal
             Components will “flush” from the column in the   conductivity  depends  on  molecular  size,  mass,
             reverse  order to which  they  appear  on  the  col-   and temperature.
             umn, meaning that in many cases the heavy com-   The quantity VX  is the diffusion coefficient D of
             ponents will flush back to vent first. This can be   the gas; and the thermal conductivity can be written
             used effectively to in some cases reduce flush the
             light  components  to  vent  and  direct  the  heavy   Ks  = 4 DpC,
             components  to  the  detector,  thus  significantly
             decreasing ithe cycle time. Alternately, cycle time   According  to  this  treatment,  the  thermal
             can be reduced by  not having to flush the entire   conductivity of the gas is independent of pressure.
             sample through the colurnn(s), also  resulting  in   This  is  found  to  be  true  over  a  wide  range  of
             increased column life.                   pressures.  provided  that  the  pressure  does  not
                                                      become so high  that  the gas may  no  longer  be
                                                      regarded as being a perfect gas. At very low pres-
             18.3  Detectors                          sures, the conductivity of the gas is proportional
                                                      to its pressure,  and this is the basis of  the oper-
             18.3.1  Thermal conductivity detector (TCD)   ation  of  the  Knudsen  hot-wire  manometer  or
             The  thermal  conductivity  detector is among the   Pirani gauge (see Chapter 10).
             most  commonly  used  gas  detection  devices.  It   It can be shown that the conductivity KT of a
             measures  the  change in  thermal conductivity  of   pure  gas  at  absolute temperature  T varies with
             a gas mixture, caused by changes in the concen-   temperature according to the equation
             tration of tlhe species it is desired to detect.
               All matter is made up of molecules which are in
             constant  rapid  motion.  Heat is  the energy pos-
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