Hot oil is to be cooled by water in a $1-$shell$-$pass and $8-$tube$-$passes heat exchanger. The tubes

are thin$-$walled and are made of copper with an internal diameter of $1\mathrm{.}4$ cm$.$ The length of each

tube pass in the heat exchanger is $5$ m$,$ and the overall heat transfer coefficient is $310$ W$/$m$2$K$.$

Water flows through the tubes at a rate of $0\mathrm{.}2$ kg$/$s$,$ and the oil through the shell at a rate of

$0\mathrm{.}3$ kg$/$s$.$ The water and the oil enter at temperatures of $20$ C and $150$ C$,$ respectively.

Determine the rate of heat transfer in the heat exchanger and the outlet temperatures of the

water and the oil. $($Cp$,$water $=4\mathrm{.}18$ kJ$/$kg$.$ K$,$ Cp$,$ oil $=2\mathrm{.}13$kJ$/$kg$.$ K$)$