Problem $1$: A standard $1-$in Schedule $40$ steel pipe carries saturated steam at $250F.$ The pipe lagged $($insulated$)$ with a $2-$in layer of $85\%$ magnesia pipe covering, and outside this magnesia, there is a $\frac{1}{2}-$in layer of cork. The inside temperature of the pipe wall is $249F$ and the inside temperature of the cork is $90F.$ Calculate the heat loss from $100ft$ of pipe in BTU per hour; the temperatures at the boundaries between the metal and magnesia and between the magnesia and cork. State all assumptions.