Conduction through pipe wall with insulation. Saturated steam flows through a $1"$ Schedule $40$ copper pipe, at $20$ psia. The pipe is wrapped with $3"$ thick fiberglass insulation, with $k=0\mathrm{.}05\frac{W}{m}-K.$ Assume the temperature at the outer surface of the insulation is $50C,$ and the temperature at the inner surface of the copper pipe is the same as that of the steam.

a$.$ Calculate the rate of heat loss from the pipe, per meter of length. Do all calculations in SI units.

b$.$ Plot the temperature $($using Excel or another program$)$ as a function of radius, from the inner radius of the pipe to the outer radius of the insulation $($in degrees Celsius$).$