A double$-$pipe heat exchanger consists of five hairpins connected in series. The hairpins are each $20-$ft long with $4-$in$.$ schedule $40$ outer pipes, $2-$in$.$ schedule $40$ inner pipes and internal return bends. Nozzles are made of $2-$in$.$ schedule $40$ pipe. $40,000l\frac{b}{h}$ of a petroleum fraction having the properties given below will flow in the annulus.

$\backslash$table$[[$Property$,$Value$],[k(BT\frac{U}{h}ftF),0\mathrm{.}15],[(cP),2],[S,0\mathrm{.}8],[Pr,17\mathrm{.}75]]$

Calculate the heat$-$transfer coefficient, $h_0,$ for the annulus.

Calculate the total pressure drop, $P_o,$ for the annulus.

What percentage of the total pressure loss occurs in the nozzles?

If schedule $40$ pipe is used, what size nozzles would be required to keep the pressure drop below $7$ psi?