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              Cryogenic Process Engineering                                                                15

              TABLE I Selected Properties of Cryogenic Liquids at Normal Boiling Point
                 Saturated liquid property
                      at 0.1 MPa       Helium-4  Hydrogen a  Neon  Nitrogen  Air  Fluorine  Argon  Oxygen  Methane
              Normal boiling point, K    4.2       20.4    27.1   77.3    78.9   85.3    87.3   90.2    111.7
              Critical temperature, K    5.2       33.2    44.4   126.1  133.3   118.2  150.7   154.6   190.7
              Critical pressure, MPa     0.23      1.31    2.71   3.38    3.90   5.55    4.87   5.06    4.63
              Temperature at triple point, K  b    13.9    19.0   63.2    —      53.5    83.8   54.4    88.7
              Pressure at triple point, MPa × 10 3  c  7.2  43.0  12.8    —      0.22    68.6   0.15    10.1
              Density, kg/m 3            124.9     70.9    1204   810.8  874.0   1505   1403    1134    425.0
              Heat of vaporization, kJ/kg  20.7   446.3    86.6   198.4  205.1   166.5  161.6   213.1   509.7
              Specific heat, kJ/kg · K    4.56      9.78    1.84   2.04    1.97   1.55    1.14   1.70    3.45
              Viscosity, (kg/m · sec) × 10 6  3.57  13.06  124.0  157.9   80.6   244.7  252.1   188.0   118.6
              Thermal conductivity,      0.027    0.118   0.130   0.139   —      0.135  0.123   0.148   0.111
                (kJ/m · sec · K) × 10 3
              Dielectric constant       1.0492    1.226    —      1.434   —      1.43    1.52  1.4837  1.6758
                a
                 Equilibrium hydrogen.
                b
                 λ-Point temperature, 2.17 K.
                c                 −3
                 λ-Point pressure, 5.02 × 10  MPa.
              that the user may program the formulations in any ap-  pressure of 2.5 MPa or more even to exist as a solid below
              propriate computer language or format consistent with  a temperature of 3 K.
              a particular application. Selected property data for some  Other properties of helium-4 show similar surprises.
              common cryogens are presented in Table I. Unique prop-  At the λ point, the specific heat of the liquid increases
              erties of several of these cryogens are noted below.  to a large value as the temperature is decreased through
                Liquid helium-4 has some very unusual properties since  this point. Once below the λ point, the specific heat of he-
              it can exist in two different liquid phases, namely, liquid  lium II rapidly decreases to zero. The thermal conductivity
              heliumIandliquidheliumII(Fig.1).Theformerislabeled  of helium I, on the other hand, decreases with decreasing
              the normal fluid, while the latter has been designated the  temperature. However, once the transition to helium II has
              superfluid since under certain conditions the fluid acts as  been made, the thermal conductivity of the liquid can in-
                                                                                          6
              if it had no viscosity. The phase transition between the  crease in value by as much as 10 that of helium I.
              two liquid phases is identified as the λ line. Intersection  A unique property of hydrogen is that it can exist in
              of the latter with the vapor-pressure curve is known as  two different molecular forms, namely, orthohydrogen
              the λ point. Helium-4 has no triple point and requires a  and parahydrogen. The ortho and para forms differ in
                                                                the relative orientation of the nuclear spins of the two
                                                                atoms associated with the diatomic molecule. The ther-
                                                                modynamic equilibrium composition of the ortho and para
                                                                varieties is temperature dependent. At ambient tempera-
                                                                tures, the equilibrium mixture is 75% orthohydrogen and
                                                                25% parahydrogen and is designated as normal hydro-
                                                                gen. With decreasing temperatures, the thermodynamic
                                                                equilibrium shifts to essentially 100% parahydrogen at
                                                                20.4 K. the normal boiling point of hydrogen. The con-
                                                                version from normal hydrogen to parahydrogen is exother-
                                                                mic and evolves sufficient energy to vaporize ∼1% of the
                                                                stored liquid per hour. To minimize such losses in the
                                                                commercial production of liquid hydrogen, a catalyst is
                                                                used to effect the conversion from normal hydrogen to
                                                                the thermodynamic equilibrium concentration during the
                                                                liquefaction process.
                                                                  Thetwoformsofhydrogenhavedifferentspecificheats.
                                                                This difference, in turn, affects other thermal and transport
                      FIGURE 1 Phase diagram for helium-4.      properties of hydrogen. For example, parahydrogen gas
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