A $32 \mathrm{hp}$ pump ( $100 %$ efficient) is required to pump water through a 2 in. sch 40 pipeline, $6000 \mathrm{ft}$ long, at a rate of $100 \mathrm{gpm}$.

(a) What is the equivalent roughness of the pipe?

(b) If the pipeline is replaced by new commercial steel $2 \mathrm{in}$. sch 40 pipe, what power would be required to pump water at a rate of $100 \mathrm{gpm}$ through this pipe? What would be the percentage saving in power compared to the old pipe?