Hot oil $(C_p=2200\frac{J}{k}gC)$ is to be cooled by water $(C_p=4180$

$\frac{J}{k}gC)$ in a $2$ shell$-$pass $12$ tube$-$pass heat exchanger. The tubes

are thin walled and made of copper with internal diameter of

$1\mathrm{.}8$ cm $.$ The length of each tube pass in the heat exchanger is $3$ m

and the overall heat transfer coefficient is $340\frac{W}{m}C.$ The water

flows through the tubes at $0\mathrm{.}1k\frac{g}{s}$ and the oil flows through the

shell at $0\mathrm{.}2k\frac{g}{s}.$ The water and the oil enter at $18C$ and $160C$

respectively. Determine the rate of heat transfer and the

temperatures at which the water and the oil exit the heat exchanger.