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Old 2008-09-24, 04:27   #1

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Default Difficult Differential

Alright, I have a quick question regarding a partial derivative.

Given nRT = (P + (an^2)/V^2)*(V-nb), find the partial V respect to T. Isolating V prior to taking the partial derivative seems to be notoriously difficult unless I am missing something obvious. My original plan was to expand, set to 0, factor and then try and use the quadratic equation, eliminate the extraneous root. However, when trying to do this, it is impossible to factor so that your ony terms are V^2, V and a constant- you cannot completely factor out a cubic V. Perhaps I am missing something.

Can anyone provide some advice or hints to lead me on the right path? Thanks.
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