Potentiometric titration by ''mathematica''

  • Thread starter emissivity
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In summary: So I'll just summarize the content and move on. In summary, the person is trying to plot the 1st derivative of a data set using interpolation and plotting, but finds that it doesn't fit well near the end. They ask for help from someone who can do it easily, but are limited in the courtesy time.
  • #1
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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  • #2
Try to use more data points, and make them more dense around the important places.

Not trhat I know it will work, just guessing.
 
  • #3
dear borek


then could you help me plot the 1st derivative graph?
 
  • #4
well I got it

but I don't know how to delete this post

I'll figure it out

wait a sec..
 
  • #5
well...

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

sorry..
 
  • #6
Edit -> delete

But the edit courtesy time is limited.
 

1. What is potentiometric titration by "mathematica"?

Potentiometric titration by "mathematica" is a method of determining the concentration of a substance in a solution using a computer program called "mathematica". It involves measuring the potential difference between two electrodes in the solution as a titrant is added, and using this data to calculate the concentration of the substance being titrated.

2. How does potentiometric titration by "mathematica" work?

In potentiometric titration by "mathematica", the titrant is added in small increments while the potential difference between the electrodes is continuously measured using a potentiometer. The computer program then uses this data to plot a titration curve and calculate the concentration of the substance being titrated at the equivalence point.

3. What are the advantages of using "mathematica" for potentiometric titration?

"Mathematica" offers several advantages for potentiometric titration, including high accuracy and precision, easy automation of the titration process, and the ability to handle large amounts of data. It also allows for the use of complex mathematical models and data analysis techniques to improve the accuracy of the results.

4. Are there any limitations to potentiometric titration by "mathematica"?

One potential limitation of potentiometric titration by "mathematica" is the need for specialized equipment, such as a potentiometer and suitable electrodes, which may not be readily available in all laboratories. Additionally, the accuracy of the results may be affected by factors such as electrode drift and temperature fluctuations.

5. What types of substances can be analyzed using potentiometric titration by "mathematica"?

Potentiometric titration by "mathematica" can be used to analyze a wide range of substances, including acids, bases, and redox-active compounds. It is particularly useful for analyzing substances that cannot be easily titrated using traditional methods, such as non-aqueous solutions and substances with low solubility.

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