A $20$ m long, $1\mathrm{.}5$ cm x $4\mathrm{.}5$ cm carbon steel pipe is transporting oil $($$=876$ kg$/$m$^3,$ $=0\mathrm{.}24$ kg$/$m$-$s$)$ at a rate of $5$ kg$/$s$.$ What is the:

a$.$ pressure drop?

b$.$ pressure loss?

b$.$ head loss?

c$.$ pumping power required to overcome the pressure drop?

Repeat for a pipe that is angled upwards at $10$ and downwards at $10$