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Potentiometric titration by ''mathematica''

  1. Nov 14, 2012 #1
    1. The problem statement, all variables and given/known data

    at first, please look at this link
    http://upload.wikimedia.org/wikiped...tiometrics_meas_1st_2nd_deriv-with-legend.JPG

    as you know, potentiometric titration's data makes this graph.

    and first derivative, 2nd derivative etc..

    I haven't tried this experiment yet.
    So I'd like to try this by the data which I just make by myself.
    this is not my real data.

    data = {{0, 1.0}, {2.5, 1.2}, {5.0, 1.3}, {7.5, 1.5}, {10.0,
    1.7}, {12.5, 2.0}, {15.0, 7.0}, {17.5, 11.9}, {20.0, 12.1}, {22.5,
    12.3}, {25.0, 12.4}, {27.5, 12.5}, {30.0, 12.5}}


    2. Relevant equations
    derivatives


    3. The attempt at a solution

    1. I plotted the data.
    ListPlot[data]

    2. and I used interpolation.
    f=Interpolation[data]

    3. I plotted the graph
    Plot[f[x], {x, 0, 30}]



    there is a problem. If you try this, you would find out, near the end point, it doesnt fit well.
    I want the graph just like the link as I mentioned first
    (http://upload.wikimedia.org/wikiped...tiometrics_meas_1st_2nd_deriv-with-legend.JPG)





    well.. I know that I can draw these graph by my hand by the excel.
    just write the data,
    plot the graph,
    and I find dy/dx one by one
    and draw the 1st derivative graph,
    and d2y/dx2 one by one..
    ...


    but

    as you know,
    I think this stupid doing is not good

    So I just want to plot the data easily by the mathematica..

    is there any way to draw the data easily?
    or just I have to plot the graph one by one?

    please help me..
     
  2. jcsd
  3. Nov 14, 2012 #2

    Borek

    User Avatar

    Staff: Mentor

    Try to use more data points, and make them more dense around the important places.

    Not trhat I know it will work, just guessing.
     
  4. Nov 14, 2012 #3
    dear borek


    then could you help me plot the 1st derivative graph?
     
  5. Nov 14, 2012 #4
    well I got it

    but I don't know how to delete this post

    I'll figure it out

    wait a sec..
     
  6. Nov 14, 2012 #5
    well....

    is there anyone who can tell me how to delete this post?

    sorry..
     
  7. Nov 14, 2012 #6

    Borek

    User Avatar

    Staff: Mentor

    Edit -> delete

    But the edit courtesy time is limited.
     
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