Possible error in temperature dependence of Gibbs energy in textbook?

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SUMMARY

The discussion centers on a potential error in equation (6.34) of a textbook regarding the temperature dependence of Gibbs energy. The participant identifies that equation (6.33) correctly uses the partial derivative of G/T with respect to temperature (T), while equation (6.34) incorrectly uses the partial derivative with respect to 1/T. The consensus is that the first denominator in equation (6.34) should indeed be corrected to ∂T instead of ∂(1/T).

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Homework Statement



In the attached picture, I am wondering if there is an error in equation (6.34). In equation (6.33), the partial differential of G/T is taken with respect to T. In (6.34), however, the partial differential of G/T is taken with respect to 1/T and the same outcome is produced (see the right-hand side of the equation). Is this an error, or am i not catching something here?



Homework Equations





The Attempt at a Solution

 

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Yep, good catch; the first denominator in (6.34) should be \partial T instead of \partial(1/T).
 

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