2. Air at 1 bar and 298.15 K (25 °C) is compressed to 5 bar and 298.15 K by two different mechanically reversible processes: (a) Cooling at constant pressure followed by heating at constant volume. (b) Heating and constant volume followed by cooling at constant pressure. Calculate the heat and work requirements and AU and AH of the air for each path. The following heat capacities for air may be assumed independent of temperature: Cv 20.78 J/(mol·K) and Cp = 29.19 J/(mol·K) Assume also for air PV/T is a constant, regardless of the changes it undergoes. At 298.15 K and 1 bar the molar volume of air is 0.02479 m³/mol.