In a process plant, methanol at 101.3 kPa at 25C is to be heated in a double pipe heat exchanger at a rate of 0.25 kg/s by a hot fluid (Cp= 2200 J/kg.K) which enters the tube at 110C at a rate of 0.2 kg/s. Given the total length of the tube is 20 m, the diameter is 5 cm, and the overall heat transfer coefficient is 340 W/m. You are tasked to assess the performance of heat exchanger between parallel flow and counter flow arrangements. a. Define the effectiveness of a heat exchanger and outline the factors which affect the performance of heat exchanger. [8 marks] b. Determine the effectiveness of the parallel flow heat exchanger and counter-flow heat exchanger. Discuss the results obtained. C. [10 marks] Using the effectiveness obtained from part c, determine the outlet temperatures of the cold and hot fluids for the heat exchangers in both flow arrangements. d. [16 marks] Using LMTD method, determine the rate of heat transfer in the case of parallel flow and counter flow. Discuss the results obtained. [16 marks]