There is a double pipe heat exchanger with inside of a $1-$in$.$ Schedule $40$ steel pipe and outside of a $2-$in Schedule $40$ steel pipe. An oil which has $c_{pm}=2\mathrm{.}42k\frac{J}{kg*K}$ is cooled from $95C$ to $65C$ in a countercurrent flow heat exchanger and flows in the inside pipe at the rate of $360k\frac{g}{h}.$ A flow of $720kg$ water $\frac{?}{h}$ enters at $26\mathrm{.}7C$ for cooling the oil and flows in the outside pipe.

$15\%$

$($i$)$ Calculate the water outlet temperature

$($ii$)$ Calculate $U_i$ for $8m$ of pipe.