Potentiometric titration by ''mathematica''

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Discussion Overview

The discussion revolves around the use of Mathematica for plotting data related to potentiometric titration, specifically focusing on the generation of first and second derivative graphs from experimental data. Participants explore methods for improving data representation and seek assistance with technical challenges in plotting.

Discussion Character

  • Homework-related
  • Technical explanation
  • Exploratory

Main Points Raised

  • The original poster shares a dataset and expresses a desire to replicate a specific graph style using Mathematica.
  • Some participants suggest increasing the density of data points around critical areas to improve graph accuracy, though this is presented as a guess rather than a confirmed solution.
  • The original poster requests help specifically with plotting the first derivative graph.
  • Subsequent posts indicate confusion about how to delete posts, with participants discussing the limitations of editing and deleting posts on the forum.

Areas of Agreement / Disagreement

There is no consensus on the best method for plotting the data or generating derivatives, and the discussion includes multiple requests for assistance without clear resolutions.

Contextual Notes

Participants have not confirmed the effectiveness of proposed solutions, and there are unresolved technical challenges related to data plotting in Mathematica.

emissivity
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Homework Statement



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}}


Homework Equations


derivatives


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 doesn't 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..
 
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Try to use more data points, and make them more dense around the important places.

Not trhat I know it will work, just guessing.
 
dear borek


then could you help me plot the 1st derivative graph?
 
well I got it

but I don't know how to delete this post

I'll figure it out

wait a sec..
 
well...

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

sorry..
 
Edit -> delete

But the edit courtesy time is limited.
 

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