Ethylene glycol at 20°c flows through 55 meters of cast iron pipe of diameter 6 cm. the measured pressure drop is 250 kpa. neglect minor losses. using a non-iterative formulation, estimate the flow rate in m^3/h.
for ethylene glycol at 20°c, take rho = 1117 kg/m^3 and μ = 0.0214 kg/ms. for cast iron, take ε = 0.26 mm. take π = 22/7. round the answer to one decimal place.

An external consultant recommends that a plant installs a bank of capacitors for power factor correction. this will reduce the peak electrical demand charges by an average of 93 kw every month. the plant current pays $13 per kw in peak demand charges. the capacitor bank will include 223 kw of fixed capacitors, and 183 of variable capacitors. the fixed capacitors cost $59 per kw, and the variable capacitors will cost $65 per kw. the consultant charges 21% of the equipment costs to install the capacitors. because this project will reduce the demand for the electric utility, they are prepared to provide a one-time rebate of $42 per kw of reduced demand. what is the simple payback period for this project (in years)?