Provide a detailed solution and explanation
In the following take CV = 5 and CP = 7 (Btu)(lb mole)−1(°F)−1 for nitrogen gas:
(a)Three pound moles of nitrogen at 70(°F), contained in a rigid vessel, is heated to 350(°F). How much heat is required if the vessel has a negligible heat capacity? If it weighs 200(lbm) and has a heat capacity of 0.12(Btu)(lbm)−1(°F)−1, how much heat is required?
(b) Four pound moles of nitrogen at 400(°F) 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 150(°F) if the heat capacity of the piston and cylinder is neglected?
Given data Specific heat at constant volumeCv =  5 (Btu)(lb mole)−1(°F)−1Specific heat at constant pressure Cp =  7 (Btu)(lb mole)−1(°F)−1Moles of N2 n = 3 lbmolInitial temperature T1 = 70°F Final temperature T2 = 350°F Part a if the vessel has a negligible heat capacityRigid vessel has constant volume so here Cv is usedHeat required Q = nCv(T2-T1) = 3 lbmol x   5 (Btu)(lb mole)−1(°F)−1 x (350 - ... See the full answer