Consider a system consisting of 2.0 mol of carbon dioxide gas, initially at 25C and 10 atm and confined to a cylinder of cross section 10.0 cm2. It is allowed to expand adiabatically against an external pressure of 1.0 atm until the piston has moved outwards through 20 cm. Assume that carbon dioxide may be considered an ideal gas with Cv,m = 28.8 J/K mol and calculate q, w, ΔU, ΔT, ΔS.