1. The problem statement, all variables and given/known data 1 kg of water is at room temperature and the pressure is isothermally increased on the system from 1 atmosphere to 1000 atmospheres. What is the work done? What is the change in heat? What would be the temperature change if this was done adiabatically? The volumetric thermal expansion is 1.5 10-5/K and the isothermal compressibility is 4.9 10-12/Pa. 2. Relevant equation PV=nRT dW=-PdV α=1/V(dV/dT)p = 1.5*10^-5/K (that's partial v partial t at constant p) and κ=-1/V(dV/dP)t (partial v partial p at constant t) 3. The attempt at a solution So for part 1 I figure I have to get dW=-PdV into a form that has dP instead of dV, since we don't know the change in volume. I'm pretty much lost at that point. I'm not too clear on how to use Maxwell relations and partial derivatives are kind of confusing to me.