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throttling  valve.  After  compression  in  the  compressor  (1–2),  the  gas  is
            successively  cooled  in  the  heat  exchangers  (2–3-4)  and  then  expanded
            (throttled) through the valve (4–5). Here, part of the gas is liquefied and
            accumulates in a collector, and the unliquefied gas is passed into the heat

            exchangers, where it cools fresh batches of compressed gas. To liquefy a
            gas  by  a  throttling  cycle,  the  temperature  of  the  compressed  gas  before
            admission to the main heat exchanger H3 must be lower than the inversion

            temperature.  A  heat  exchanger  with  a  foreign  cooling  agent  (exchanger
            H2)  performs  this  cooling.  If  the  inversion  temperature  of  the  gas  lies
            above  room  temperature  (nitrogen,  argon,  oxygen),  then  the  scheme  is
            basically  feasible  even  without  heat exchangers  H1  and  H2.  The  use  of

            foreign  coolants  in  this  case  has  the  purpose  of  increasing  the  yield  of
            liquid.  But  if  the  inversion  temperature  of  the  gas  is  below  room
            temperature, then a heat exchanger with a foreign coolant is mandatory.

            For example, liquid nitrogen is used in the liquefaction of helium.
                      For  liquefaction  of  gases  on  an  industrial  scale,  cycles  with
            expanders  are  most  often  used,  since  the  expansion  of  gases  with  the

                                                                               performance                of
                                                                               external  work  is  the
                                                                               most  efficient  cooling

                                                                               method.  Scheme  and
                                                                                   temperature-entropy
                                                                               diagram  for  a  gas-
                                                                               liquefaction           cycle

                                                                               using an expander: (C)
                                                                               compressor,               (E)
                                                                               expander,  and  (Th)

                                                                               throttling  valve      are
                                                                               illustrated  Fig.  3.4.3
                                                                               Here,        the      liquid
                                                                               usually is not obtained
                            Figure 3.4.3
                                                                               in  the  expander  itself
                                                                               because           it        is
                                                                               technically  simpler  to

            carry  out  the  liquefaction  in  an  additional  throttling  stage.  After
            compression in a compressor (1–2) and precooling in a heat exchanger (2–
            3),  the  stream  of  compressed  gas  is  divided  into  two  parts.  Part  M  is

            diverted to the expander where, on expanding, it performs external work
            and is cooled (3–7). The cooled gas is fed into the heat exchanger, where it



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