# Homework Help: Thermodynamics question

1. Jan 19, 2010

### mathman44

The problem statement, all variables and given/known data

1. A hypothetical substance has an isothermal compressibility $$\kappa$$=$$a/v$$ and an expansivity $$\beta$$=$$2bT/v$$ where a and b are constants.

a) Show that the equation of state is given by $$v - bT^2 + aP$$ = constant
b) If at a pressure $$P_o$$ and temperature $$T_o$$, the specific volume is $$v_o$$, evaluate the constant.

edit: sry for double post, PF was lagging.