CHEGG Air flows through a compressor at a steady mass flow rate of 0.5 kg/s. The air enters the compressor at a velocity of 15 m/s, pressure of 101.3 kPa, and specific volume of 0.8m3 /kg. The air exits at a velocity of 10 m/s, pressure of 800 kPa, and specific volume of 0.15m3 /kg. The internal energy of the air is increased by 80 kJ/kg. (a) (8 pts) Drive an equation to calculate the required power starting from the full equation (eq. 1-24) of the law of conservation of energy and calculate the power required to drive the compressor, assuming there is no heat loss due to a cooling system. (b) (2 pts) Describe if

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)?