Hey everyone,

 

I am a little stuck with some bit of thermodynamics. Basically, I am doing some questions and the first was what expression is equivalent to the partial derivative [math] (dV/dT)p [/math]. I took the cross-derivative of the equation for free gibs energy ([math] dG =VdP -SdT[/math]) and got [math] -(dS/dP)T [/math]. Now this is where I am stuck. the next question says to work out an expression for deltaS as a function of pressure using the expression that I just found. I dont know what [math] -(dS/dP)T [/math] is equal to, so my question is that can I intergrate a partial derivate on it own between two limits for pressure to get deltaS? I think not; I think that I must first find what it equals(eg. equals to Volume, enthalphy etc),separate variables and then perform intergration.

 

Any advise will be great and will be much appreciated.

You might say it equals to 1/T

It's one of these: http://en.wikipedia.org/wiki/Maxwell_relations