1. The problem statement, all variables and given/known data Hi, I got a set of problems to do and there are a few I am having trouble with: (edit: I had more questions before but I figured them out) 1. A hypothetical substance has an isothermal compressibilty [tex]\kappa[/tex]=a/v and an expansivity [tex]\beta[/tex]=2bT/v, where a and b are constants, and v is the specific volume. a) Show that the equation of state is given by v-bt2 + aP=constant b) If at a pressure P0 and temperature T0, the specific volume is v0, evaluate the constant. 3. The attempt at a solution 1. Ok I figured out 2a), but I don't know how to evaluate the constant for 2b)...what I did was just replace v, T, and P with v0, t0, and P0, but I don't think that is right. I think it may be something with an exact differential equation, I am not sure though. I have ([tex]\beta\nu[/tex]/[tex]\partial[/tex]P)[tex]\partial[/tex]T = -([tex]\kappa\nu[/tex]/[tex]\partial[/tex]T)[tex]\partial[/tex]P Help for that one please Btw how do you make the kappa symbol on the same level as everything else?