An electric kettle is required to heat 0.64 kg of water from 15.4°C to 98.2°C in six minutes. The supply voltage is 220 V and the efficiency of the kettle is 85.5%.
Assume the specific heat capacity of water to be 4.187 kJ/kg. K. Calculate the
resistance of the heating element.​

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)?