Q$1.(40$ points$)$ Ethylene glycol at $290$ K and $0\mathrm{.}15k\frac{g}{s}$ flows through a Teflon tube $(k=0\mathrm{.}35\frac{W}{m}K)$ of inner and outer radii equal to $10$ and $13$ mm $,$ respectively. A thin electrical heating tape wrapped around the outer surface of the tube delivers a uniform surface heat flux of $2000\frac{W}{m^2},$ while a convection coefficient of $25\frac{W}{m^2}K$ is maintained on the outer surface of the tape by ambient air at $300$ K $.$ What is the fraction of the power dissipated by the tape, which is transferred to the water? What is the outer surface temperature of the Teflon tube?