Hot oil $($Cp $=2200$ J$/$kg$.$K$)$ entering at $160$C is cooled in a heat exchanger by water entering at $18$C$.$ The heat exchanger has a $2-$shell pass and $12-$tube pass arrangement. The tubes are thin walled and are made of copper with a diameter of $1\mathrm{.}8$ cm$.$ The length of each tube pass in the heat exchanger is $3$ m$.$ Water flows through the tubes at a total rate of $0\mathrm{.}1$ kg$/$s$,$ and the oil flows through the shell at a rate of $0\mathrm{.}2$ kg$/$s$.$ The convective coefficient for oil in the shell side of the heat exchanger is ho $=400$ W$/$m$2.$K$.$ Determine the rate of heat transfer in the heat exchanger and the outlet temperatures of the water and oil. Notes: $$ You will need to start by guessing the outlet water temperature. Only two iterations are required to show your method to solve the problem. $$ Properties of water can be found in Attachment $3.$