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lowers the temperature of the remaining part of the compressed gas 1–M.
            This remaining part is then throttled and liquefied. In theory, expansion in
            an expander should be carried out at constant entropy (3–6). Because of
            losses, however, the expansion proceeds along line 3–7. To increase the

            thermodynamic  efficiency  of  the  process  of  gas  liquefaction,  several
            expanders operating at different temperature levels are sometimes used.
                     Cycles  with heat pumps are usually used (in addition to expansion

            and  throttling  cycles)  in  liquefying  gases  by  means  of  gas  refrigerators,
            which  make  it  possible  to  obtain  temperatures  as  low  as  12°K.  These
            temperatures  are  low  enough  to  liquefy  all  gases  except  helium  (see
            Table 3.4.1). An additional throttling stage is attached to the refrigerator to

            liquefy helium.

            Table  3.4.1.  Values  of  the  boiling  point  T   (at  760  mm  Hg),  critical
                                                                        b
            temperature T , and minimum (L                min ) and actual (L ) work performed
                                c
                                                                                  act
            in the liquefaction of certain gases
            Gas                            Tb (°K)  TC (°K)  L-         min        (kW- L             (kW-
                                                                                            act
                                                                     hr/kg)               hr/kg)

            Nitrogen........               77.4         126.2        0.220                1.2-1.5

            Argon........                  87.3         150.7        0.134                0.8-0.95

            Hydrogen .......               20.4         33.0         3.31                 15-40

            Air............                78.8         132.5        0.205                1.25-1.5

            Helium..........               4.2          5.3          1.93                 15-25
            Oxygen...........              90.2         154.2        0.177                1.2-1.4

            Methane.............           111.7        191.1        0.307                0.75-1.2

            Neon...........                27.1         44.5         0.37                 3-4

            Propane...........             231.1        370.0        0.04                  0.08

            Ethylene..........             169.4        282.6        0.119                 0.3


            The gases subjected to liquefaction must be free of water vapor, oil, and

            other impurities. For example, carbon dioxide must be removed from air,
            and air from hydrogen. This removal is necessary because on cooling the
            impurities may solidify and block the heat-exchange apparatus. The unit

            that removes outside impurities from gas is, therefore, a necessary part of
            gas liquefaction facilities.







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