An engineer is conducting a research on the performance of a concentric counter flow heat exchanger for cooling the exhaust gas in a chemical plant. The exhausted gas in inner pipe 1 is cooled by water running in external pipe 2. The data is shown in the following table: Pipe 1 Pipe 2 Gas inlet temperature = 300C Gas outlet temperature: = 50C Gas flow rate mg = 0.05 kg/s Specific heat capacity of gas = 1.043 kJ/kgK Heat transfer coefficient of gas hg 0.25 kW/mK (a) Calculate: Water inlet temperature = 30C Water flow rate mw = 1 kg/s Specific heat capacity of water = 4.19 kJ/kgK Heat transfer coefficient of water hw 1.4 kW/mK = i) the heat released (in kW) from the gas; ii) the outlet temperature of the water; and (3 marks) (3 marks) iii) the overall heat transfer coefficient (U) of the system. (5 marks) (b) Sketch a temperature against pipe length diagram, indicating the inlet and outlet temperature and flow direction of the exhaust gas and cooling water of this counter flow heat exchanger. (4 marks) (c) Determine the Log Mean Temperature Difference (LMTD) for this (5 marks) counter flow heat exchanger.