A certain perfect gas has CV,m = a + bT, where a = 25.0 J/(mol K) and b = 0.0300 J/(mol K2). Let 4.00 mol of this gas go from 300 K and 2.00 atm to 500 K and 3.00 atm. Calculate each of the following quantities for this change of state. (a) q; (b) w; (c) ΔU; (d) ΔH; (e) ΔS.