Question 2 (20 Marks) a) i) A stream of nitrogen is to be heated from 20C to 100C. Calculate the heat input (kW) required to heat the stream of nitrogen flowing at rate of 1000 mol/min. (5 marks) ii) Nitrogen contained in a 5-liter flask at an initial gauge pressure of 3 bar is cooled from 90C to 30C. Calculate the heat that must be transferred. Explain your answer. (8 marks) Assume ideal gas behavior and use heat capacity data of nitrogen at a constant pressure of 1 atm given in table 1 Table 1: Heat capacity data a X 10 b X10S c X10 dX1012 Compound Nitrogen 29.00 0.2199 0.5723 -2.871 Data: The gas constant, R = 0.7302 ft.atm/(Ib-mole.OR) = 0.08206 L.atm/(mol.K) = 10.73 ft'.psia/(Ib-mole.R) = 8.314 m.Pa/(mol.K) = 8.314 J/(mol.K) = 0.08314 L.bar/(mol.K), 1 W = 1J/s = 0.23901 cal/s = 1.341 x 103 hp, 1 atm = 1.01325 X 105 N/m (Pa) = 101.325 kPa = 1.01325 bar = 760 mm Hg at 0C (torr) = 14.696 lb/in.? (psi) b) A spherical storage tank of 3 m in diameter is half-filled with 12500 kg of an organic liquid at 7000 kPa. If the total internal energy in the tank is 5.3 x 10% k], what is the specific enthalpy of the fluid in the tank? (7 marks)