A certain insulating material has 5 x 1022 atoms, each having six degrees of freedom. It initially occupies a volume of 10-6 m3 at a pressure of 105 Pa. The pressure and volume are related by p(V - V0) = constant, where V0 = 0.94 x 10-6 m3 2. Relevant equations [tex]W = -\int p\, dV[/tex] PV = nRT [tex]\bigtriangleup E = \bigtriangleup Q - \bigtriangleup W[/tex] PiVi = PfVf 3. The attempt at a solution This one is confusing because it gives me one initial volume, and then gives me a V0 that's almost the same as the initial volume, so I don't know if I only use the V0 for that equation with the constant, or if I use that as the initial volume for something else. No idea why it gives me two different (but almost identical) initial volumes. I solved for the constant, using the initial volume and the other initial volume for V, and then tried to use that constant and plugging in what I had in V in for V0 and solving for the V, which would be the final volume, and then plugging that into the limits of integration. That did nothing good. I tried solving for the final volume, using PiVi = PfVf and then plugging that into my limits of integration, and multiplying P times ten. That didn't work. I tried using PV = nRT and solving for T, but I don't know what to do with T. But the question gives me numbers of atoms, which is why I tried using the ideal gas law. Otherwise it would have been irrelevant information, as far as I can tell. It's an insulating material, so I guess it's not an ideal gas. It's probably a solid. It gives me the degrees of freedom of the atoms. I have no idea how that's relevant.