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butane, 44 mol% n-pentane, and 28 mol% n-hexane and is a liquid. The flash drum is at 1.0 atm, it is
                      adiabatic (heat duty = 0), and there is no heat exchanger. Choose an appropriate property method.
                      Initially, for the feed, set vapor fraction = 0 (a saturated liquid) and set the temperature. You want to
                      obtain V/F in the drum of 0.4000 (rounded off to fourth decimal). Find the feed temperature that gives
                      this value of V/F. (As you do runs, note that feed pressure for a saturated liquid increases as feed
                      temperature is increased. Why?) Once you find the correct feed temperature, remove the feed
                      specification that vapor fraction = 0 and specify a feed pressure that is 1.0 atm. above the pressure
                      reported by Aspen Plus when vapor fraction of feed = 0. Liquids that are saturated liquids (this is what
                      Aspen means by vapor fraction = 0) cannot be pumped easily. By raising the pressure, we make
                      pumping easy. Rerun simulation one last time to check that you have met all requirements. Expect to do

                      several Aspen Plus runs to solve this problem. Report the property method, feed temperature and
                      pressure, drum temperature, heat duty in drum, vapor and liquid flow rates, and x and y values.

                    Assignment to Hand In

                    Each group should write a one- to two-page memo addressed to the professor or teaching assistant from
                    the entire group of members. You may attach a few appropriate graphs and tables on a third page (do not
                    attach the entire Aspen results printout). Anything beyond three pages will not be looked at or graded
                    (this includes cover pages). The memo needs to have words in addition to numbers. Give a short

                    introduction. Present the numbers in a way that is clearly identified. Mention the graphs or figures you
                    have attached as backup information. (If a group member is absent for the lab and does not help in
                    preparation of the memo, leave his/her name off the memo. Attach a very short note explaining why this
                    member’s name is not included. For example, “Sue Smith did not attend lab and never responded to our
                    attempts to include her in writing the memo.”) Prepare this memo on a word processor. Graphs should be
                    done on the computer (e.g., Aspen or Excel). Proofread everything and do a spell check also!

                    Chapter 2 Appendix B. Spreadsheets for Flash Distillation

                    2.B.1 Regression of Binary VLE with Excel

                    McCabe-Thiele calculations are easiest to do on spreadsheets if the y versus x VLE data are expressed in
                    an equation. The form y = f(x) is most convenient for flash distillation and for distillation columns (see
                    Chapter 4) if stepping off stages from the bottom of the column up. The form x = g(y) is most convenient

                    for distillation columns if stepping off stages from the top down. Built-in functions in Excel will
                    determine polynomials that fit the data, although the fit will usually not be perfect. This will be illustrated
                    for fitting the ethanol-water equilibrium data in Table 2-1 in the form y  = f (x ). (Note: An additional
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                    data point x  = 0.5079, y  = 0.6564 was added to the numbers in the table.) Enter the data in the
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                    spreadsheet with x  values in one column and the corresponding y  values in the adjacent column.
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                    Highlight all the x-y data. In Excel 2007 in the the menu bar, click on the Insert tab. Select a Scatter chart
                    and then select the icon showing “scatter with data points connected by smooth lines.” This creates a
                    figure of the data plotted as y versus x. If desired, you can add labels, grid lines, and other touches by
                    clicking on Layout in the menu and then following the instructions. If you are not familiar with these
                    techniques, try it step-by-step in Excel.

                    To find a polynomial that fits the data, first highlight the x-y data. Then go to the Excel tool bar and click
                    on Layout→Analysis→Trendline→More Trendline Options. Choose polynomial as type and in the menu
                    select the desired order of the polynomial. (You can try different orders to find which has the best fit.)
                    Make sure the boxes “Display Equation on Chart” and “Set intercept = 0” are checked. Then click Close.
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                    For the ethanol-water data at 1.0 atm, the best fit was a 6 -order polynomial. This result is:
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