What is the significance of deriving PV=K?

[Ultros88]

Hi, I'm wondering what the physical meaning there is to taking the volume derivative of the equation pv=k.

d/dv [ pv = k ]
(v * dp/dv ) + p = 0

I know this has to do with the elasticity of a gas but I am unsure as to why this process of deriving the equation pv = k was taken. Any help would be appreciated.

Thanks

 

[dipstik]

is that the derivation david bernouli used in hydrodynamics or whatever?

heres a derivation i thought was very accessable

http://books.google.com/books?id=istAAAAAIAAJ&pg=PA27&lpg=PA27

 

[sp1408]

The equation is important because in this process...according to the ideal gas equation,the temperature remains constant...and thus the internal energy.
I hope this is what you asked...if not please elaborate a little more on what you mean...