An orifice having a diameter of $1 \mathrm{in}$. is used to measure the flow rate of SAE 10 lube oil $(\mathrm{SG}=0.928)$ in a $2 \mathrm{in}$. sch 40 pipe at $70^{\circ} \mathrm{F}$. The pressure drop across the orifice is measured by a mercury ( $\mathrm{SG}=13.6)$ manometer, which reads $2 \mathrm{~cm}$.

(a) Calculate the volumetric flow rate of the oil in liters/second.

(b) What is the temperature rise of the oil as it flows through the orifice in ${ }^{\circ} \mathrm{F}$ ? $\left(C_{\mathrm{v}}=0.5 \mathrm{Btu} /\right.$ $\left(\mathrm{lb}_{\mathrm{m}}{ }^{\circ} \mathrm{F}\right)$

(c) How much power (in horsepower) is required to pump the oil through the orifice? (Note: this is the same as the rate of energy dissipated in the flow.)