3)Please solve correctly with all steps neatly written by hand with correct answers

Q3) Air enters the compressor shown below at a rate of 15ft3/s. It leaves the tank through a 1.5 inches diameter pipe with a density of 0.113lbm/ft3 and a velocity of 600ft/s. 1- Write reasonable assumptions for inlet air. 2- Calculate mass rate of inlet air and calculate mass rate of outlet air (lbm/s). 3- Determine the rate (lbm/s) at which the mass of air in the tank is increasing or decreasing. 4- Determine the rate (lbm/ft3s) at which the density of air in the tank is increasing then find how long it stays in the compressor