Liquid water flows through a 2.0 cm diameter, 10.0 m long, smooth tube at a mass flow rate of 4.5 kg/s. The water enters the tube at 22EC, and the inner tube wall is maintained at 60EC. Find the outlet temperature of the water. (Use the Dittus-Boelter relation on pg. 496 of the text to find the heat transfer coefficient)

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)?