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6.7 Design illustration  201




                  Boiling point of glycerol solutions.


                                                       Boiling point of liquor ( C)
                          Boiling
                         point of                  Weight fraction of glycerol in liquor
                 Pressure  water

                 (mm Hg)   ( C)   0.1    0.2   0.3    0.4   0.5   0.6    0.7   0.8   0.9   0.9564
                 92.3      50     50.2  50.9   52.1  53.4  55.2   57.6   61    66.2  80.1  103.1
                 149.19    60     60.3   61    62.2  63.5  65.5   68.1  71.5   77.3   92   117.6
                 233.53    70     70.4  71.2   72.4  73.7  75.6   78.5  82.2   88.3  104   132.1
                 355.1     80     80.5  81.4   82.6   84    86    88.8  92.8   99.3  116   146.5
                 525.8     90     90.6  91.5   92.8  94.2  96.3   99.3  103.5  110.3  127.8  161.1
                 760       100    100.7  101.6  102.9  104.5  106.7  109.6  114  121.5  139.8  175.8

                  The BPE table prepared based on the above table is e



                                                       Boiling point elevation of liquor ( C)
                                                      Weight fraction of glycerol in liquor (x)
                 Pressure  Boiling point of

                 (mm Hg)   water (T w )( C)  0.1  0.2  0.3  0.4  0.5  0.6  0.7  0.8  0.9   0.9564
                 92.3          50        0.2  0.9   2.1  3.4  5.2  7.6   11    16.2  30.1   53.1
                 149.19        60        0.3   1    2.2  3.5  5.5  8.1  11.5   17.3  32     57.6
                 233.53        70        0.4  1.2   2.4  3.7  5.6  8.5  12.2   18.3  34     62.1
                 355.1         80        0.5  1.4   2.6  4     6   8.8  12.8   19.3  36     66.5
                 525.8         90        0.6  1.5   2.8  4.2  6.3  9.3  13.5   20.3  37.8   71.1
                 760           100       0.7  1.6   2.9  4.5  6.7  9.6   14    21.5  39.8   75.8

                  The above table will be interpolated based on x and T. However we note that in last effect with
               92.5 mm Hg, Boiling point of water is T w ¼ 50 C and for x ¼ 0.8, the BPE is 16.2 C in the last effect.



               The first effect heating steam is at 103.6 kPa(abs) with saturation temperature of 100.6 C. If we
               consider three effects, the DT av ¼ 100.6 e 50 ¼ 50.6; T(3) ¼ 50 þ 16.2 ¼ 56.2 C. BPE for x ¼ 0.07



               will be max 0.6 C. If we consider a driving force of w15 C in the first effect, the effect will operate at

               85 C.
                  A look at the BPE table suggests that with this range of T w and x, the BPE estimation based only on

               x can entail w1 C maximum error and we decide to go for the approximation.
                  Data
                  N ¼ 3; F ¼ 50,000/60 ¼ 833.3 (kg/s); x F ¼ 0.07; x 3 ¼ 0.8; T F ¼ 27;
                                                                                  2
                  P steam ¼ 103.6 kPa(abs) ¼ 103.6   .010,197 e 1.03,323 ¼ 0.02,318 kg/cm (g)
                                                                             2
                  P 3 ¼ 92.5 mm Hg(abs) ¼ (92.5/760 e 1)   1.03,323 ¼ 0.90,748 kg/cm (g)
                  U 1 ¼ 2350; U 2 ¼ 1250; U 3 ¼ 1120; T steam ¼ saturation temperature corresponding to
                               2

                  (0.02,318 kg/cm (g)) ¼ 100.6 C
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