Partial Derivatives Applied to Chemistry

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ramsharmjarm
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Homework Statement


Please look at the attached pic. I don't know how to type all these symbols in.


Homework Equations



Im not sure how to start

The Attempt at a Solution



I tried using the cyclic rule but the problem just started getting messier.
 
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  • Handwritten-style problem: prove that (dP/dV) at constant n,T equals 1 divided by (dV/dP) at constant n,T, which equals (dP/dV) at constant n,T, which equals 1 divided by (dV/dP) at constant n,T, for an ideal gas and for a gas with equation of state P = nRT/(V - nb), b constant.
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I don't know what you mean by the "cylic rule" but this is a simple application of the "chain rule". Of course, the fact that n and T are held constant is important.
 
am i starting this right then?

dp/dv = d(nRT/V)/dV= dnrT/Vdv)