The constant-pressure heat capacity of carbon dioxide (CO2) gas was found to vary with temperature according to the expression Cp,m (J K−1mol−1) = a + bT + cT^2, with a = 44.22 J K^-1 mol^-1, b = 8.79 x 10^-3 J K^-2 mol^-1, and c = -8.62 x 10^5 J K mol^-1. Calculate w, q, ΔU, and ΔH when 1.0 mol of CO2 gas is heated from 25.0 °C to 70.0 °C: (a) at constant pressure (equal to the pressure of the gas); and (b) at constant volume. Assume perfect gas behavior and clearly indicate your reasoning.