Page 168 - Separation process engineering
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These values are not equal, and in fact, water’s latent heat is 15.3% higher than methanol’s. Thus,
                      CMO is not strictly valid; however, we will solve this problem assuming CMO and will check our
                      results with a process simulator.

                      A look at Figure 4-15 shows that the configuration at the bottom of the column is different than when a
                      reboiler is present. Thus we should expect that the bottom operating equations will be different from
                      those derived previously.
                      C. Plan. We will use a McCabe-Thiele analysis. Plot the equilibrium data on a y-x graph.

                      Top Operating Line: Mass balances in the rectifying section (see Fig. 4-15) are
                                                                         V  = L + D
                                                                           j+1
                                                                                  j
                                                                     y V  = L x +Dx       D
                                                                                  j j
                                                                      j+1 j+1
                      Assume CMO and solve for y .
                                                        j+1






                      Since the reflux is returned as a saturated liquid,





                      Enough information is available to plot the top operating line.

                      Feed Line:









                      Intersection: y = x = z





                      Once we substitute in values, we can plot the feed line.
                      Bottom Operating Line: The mass balances are





                      Solve for y:



                      Simplifications: Since the steam is pure water vapor, y  = 0.0 (contains no methanol). Since steam is
                                                                                     s
                      saturated, S = V and B = L (constant molal overflow).

                      Then




                                                                                                                              (4-42)

                      Note this is different from the operating equation for the bottom section when a reboiler is present.
                      Slope =  /  (unknown), y intercept = −( / )x  (unknown),
                                                                           B
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