Oil with a viscosity of $35 \mathrm{cP}, \mathrm{SG}$ of 0.9 , and a specific heat of $0.5 \mathrm{Btu} /\left(\mathrm{lb}_{\mathrm{m}}{ }^{\circ} \mathrm{F}\right)$ is flowing through a straight pipe at a rate of $100 \mathrm{gpm}$. The pipe is $1 \mathrm{in}$. sch 40, $100 \mathrm{ft}$ long, and the Fanning friction factor is given by $f=0.0791 / N_{R e}^{1 / 4}$. If the temperature of the oil entering the pipe is $150^{\circ} \mathrm{F}$, determine

(a) The Reynolds number

(b) The pressure drop in the pipe, assuming that it is horizontal

(c) The temperature of the oil at the end of the pipe, assuming the pipe to be perfectly insulated

(d) The rate at which heat must be removed from the oil (in Btu/h) to maintain it at a constant temperature if there is no insulation on the pipe