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Problem 1 [3 points] One kilogram of air is heated reversibly at constant pressure from an initial state of 320 K and 1 bar until its volume triples. Calculate W. Q. AU, and AH for the process. Assume for air that PV/T - 83.14 bar-cm³-mol-1.K1 and Cp - 29 J-mol¹K¹ Show detail calculations. Problem 2 [3 points] Liquid water at 180°C and 1002.7 kPa has an internal energy (on an arbitrary scale) of 762:0 kJ-kg¹ and a specific volume of 1.128 cm3-g¹. (a) What is its enthalpy? (b) The water is brought to the vapor state at 300°C and 1500 kPa, where its internal energy is 2784.4 kJ-kg and its specific volume is 169.7 cm3-g¹. Calculate AU and AH for the process. Problem 3 14 points] In the following take Cy- 20.8 and Cp - 29.1 J-molc for nitrogen gas: (a) Three moles of nitrogen at 30°C, contained in a rigid vessel, is heated to 250°C. How much heat is required if the vessel has a negligible heat capacity? If the vessel weighs 100 kg and has a heat capacity of 0.5 kJ kg ¹. C¹, how much heat is required? (b) Four moles of nitrogen at 200°C is contained in a piston/cylinder arrangement. How much heat must be extracted from this system, which is kept at constant pressure, to cool it to 40°C if the heat capacity of the piston and cylinder is neglected?