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I'm not an expert teacher or lecturer of chemistry. I was only a student from SMA NEGERI 15 SURABAYA who had been one of the Bronze Medalist Participants of Olimpiade Sains Nasional X (2011) of Chemistry In Manado, North Sulawesi, 11 - 16 September 2011 and graduated in 2012. Now, I'm studying at Universitas Airlangga in Surabaya, Indonesia. I do love chemistry and I would like to help them who had difficulties in studying chemistry. That's why, please understand me if you found some misconcepts in my entries. Suggestions are always necessary in order to develop this blog. And I'm sorry because my English isn't so well.

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Friday, March 30, 2012

The Use of Calculus in Chemistry

Although I hate mathematics. It doesn't mean I can't apply the calculus in chemistry. You have to keep those statements in your mind. Now, let me give you an example of chemistry problem that have to be finished with Calculus.

Problem:
The electromotive force that is produced by a cell with the cell notation of H2 (1 atm) | HCl (0.01 M) | AgCl(s) | Ag is expressed with the equation of: E (Volt) = - 0.096 + 1.90 x 10-3 T - 3.041 x 10-6 T2. Calculate the Standard Gibbs Free Energy, Standard Entropy Change, Standard Enthalpy Change, and the Standard Specific Heat of that cell!



Answer:
First, we have to know the cell reaction of this cell:




First, we have to know the relation between Gibbs Free Energy and the Electromotive Force. We know that:




The value of standard electromotive force is obtained from the expression above at 298 K:



Substitute it to the variable so we get:




Now the relation between Gibbs Free Energy and Entropy Change is:





The Relation between Gibbs Free Energy, Entropy Change, and Enthalpy Change is:








And the last, the reaction between Enthalpy Change and Specific Heat is:





Thanks.

Source:
Documents of Pelatanas 2 IChO 2012





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