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Example 6
            Find the flow rate of a heating gas at 400 F to desorb 2000 lbs of water from


            a solid desiccant bed weighing 30,000 lbs and has C d ¼ 0.24 Btu/lb F. The

            tower weight is 50,000 lbs and its C t ¼ 0.1 Btu/lb F. The ambient
            temperature is 110 F and the maximum outlet temperature is 360 F.


            The8-hcycleisoperatedas6 hheating and2 hcooling. Assume
            C g ¼ 0.6 Btu/lb F.

            Solution
            Using Eq. (22), the following results are obtained:
                                               360 þ 110
                 T m ¼ 360,   T a ¼ 110,  T av ¼        ¼ 235
                                                   2

                 Q H ¼30,000ð360   110Þð0:24Þþ 50,000ð360   110Þð0:1Þ
                      þ 2000ð1100Þþ 2000ð235   110Þ
                    ¼5,500,000 Btu=cycle
            The flow rate of heating gas V H is obtained from Eq. 23:
                         5,500,000            lbs
                 V H ¼              ¼ 55,555
                      ð400   235Þð0:6Þ       cycle
            or
                           lbs
                 V ¼ 9259
                  H
                            h
            The gas heater load Q G is obtained from Eq. (24):
                      55,555ð400   110Þð0:6Þ       6  Btu
                 Q G ¼                    ¼ 1:6   10
                               6                     lb
            For cooling, use Eq. (25) to find H C :
                 H C ¼ 30,000ð360   110Þð0:24Þþ 50,000ð360   110Þð0:1Þ
                                 Btu
                               6
                     ¼ 3:05   10
                                cycle
            The gas flow rate for cooling is calculated from Eq. (26); for 2 h cooling, the
            value of V C is found to be
                                  6
                          3:05   10            lbs
                 V ¼                   ¼ 20,233
                  C
                      ð235   110Þð0:6Þð2Þ      h
            Additional heat requirements of 25% can be used for each cycle.






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