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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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Wednesday, December 14, 2011

Gibbs - Helmholtz Equation

Gibbs - Helmholtz Equation helps us to calculate the change of Gibbs Energy because of Temperature Change. The equation can be described as:



Where did the equation above come from?
Let's find out:

Because Gibbs Energy is depended of Temperature, it can be described as:



To make an easier calculation, we have to make a function of G/T against T. Obeying the rule of partial derivative (G as u and T as v), the result from the derivative equation above is:



We know that is equal to -S (Entropy) (It will be discussed soon in this blog). So we can substitute the S to the equation above:


By further treating, we will find that:



So that:


We've found the derivative of the equation, now, let's integrating the equation above:



Because G and H is a "state function" so that we can't determine the value of G and H itself. We just can determine its change. So we've found our Gibbs - Helmholtz Equation:



Source:
Documents of Pelatnas I IChO 2012

Further Reading. . .
Wikipedia
Atkins'. 2006. Physical Chemistry 8th Edition.


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