Saturated steam at $100C$ is flowing inside a $1\mathrm{.}0$ inch schedule $40$ steel p pipe is insulated with $1\mathrm{.}5$ inches of insulation with conductivity $0\mathrm{.}064$ W$/$ the outside. The convective coefficient for the inside steam surface of the $6k\frac{W}{m^2}*K$ and the convective coefficient on the outside surnounding ain is$,h_{lo}12\frac{W}{m}{m}^2*K.$

$[20\%]$

$($i$)$ Calculate the heat loss for $1m$ of pipe, and the outside temperature o insulation;

$($ii$)$ Calculate the overall $U_0$ based on the outside area $A_0.$