Kerosene is to be heated from 25C to 50C in a heat exchanger. Flow rate of kerosene is 0.38 kg/s. It flows through the tube having inside diameter of 30 mm and outside diameter of 34 mm. Water at 94C is used for the heating purpose. Flow rate of water is 0.125 kg/s. Outer surface of the heat exchanger is insulated. Properties of kerosene are: Density = 815 kg/m'; Specific heat of water = 4180 J/(kg.K); Specific heat of kerosene = 2090 J/(kg.K); Convective heat transfer coefficient on water side = 1350 W/(m.K); Convective heat transfer coefficient on kerosene side = 730 W/(m.K); Thermal conductivity of tube = 380 W/(m.K). Determine the following: (i) Outlet temperature of water; (2 marks) (ii) Log mean temperature difference for parallel flow; (2 marks) (iii) Log mean temperature difference for counter current flow; (2 marks) (iv) Overall resistance to heat transfer R; (5 marks) (v) Length of heat exchanger in parallel flow arrangement; (2 marks) (vi) Length of heat exchanger in counter flow arrangement. (2 marks)