Chemical Forums
Chemistry Forums for Students => Physical Chemistry Forum => Topic started by: matzebro12 on October 22, 2021, 06:21:18 PM
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Hello there,
I am currently working on a question I am having problems with. I tried to solve it, but to no avail; it states that this expression is always valid for any three-variable dependent function:
(picture 1)
It states that I need to prove that by considering the done volume work while doing a reversible compression on an ideal gas, expressed by:
(picture 2)
and we set (x,y,z)=(p,V,T). The last derivative can be solved by using the ideal gas law.
Honestly, I don't know where to start. I don't understand how I should put up the differentials, because I don't see how w is dependent on p, the only thing that I thought of would be that the work is defined as -pdV, but I would not know how to work with the dV on itself that would be left.
I know that those are all partial derivatives and that the variable on the outside of the bracket is kept constant and that I need to formulate the function in such a way that both variables in the derivative expression appear on the right side, but I don't know the way to combine all three needed parameters. Any help would really be appreciated.