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Air at standard conditions enters the compressor shown in the figure at a rate of 10 ft^3/s. It leaves the tank through a 1.2 in diameter pipe with a density of .0035 slugs/ft^3 and a uniform speed of 700 ft/s. a) Determine the rate (slugs/s) at which the mass of the air in the tank is increasing or decreasing. b) Determine the average time rate of change of air densityh within the tank. Air at standard conditions enters the compressor shown in the figure at a rate of 10 ft^3/s. It leaves the tank through a 1.2 in diameter pipe with a density of .0035 slugs/ft^3 and a uniform speed of 700 ft/s. a) Determine the rate (slugs/s) at which the mass of the air in the tank is increasing or decreasing. b) Determine the average time rate of change of air densityh within the tank.