In the following take C_V = 5 and C_P = 7 cal/mol-K for nitrogen gas:

(a) Five moles of nitrogen at 100 °C is contained in a rigid vessel. How much heat must be added to the system to raise its temperature to 300 °C if the vessel has a negligible heat capacity?  If the vessel weighs 80 g and has a heat capacity of 0.125 cal/g-K, how much heat is required?

(b) Five moles of nitrogen at 300 °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 100 °C if the heat capacity of the piston and cylinder is neglected?