2. If a pump discharges 284 liters per minute of water whose density is 985 kg/m3

. Find (a) mass
flow rate in kg/min; (b) the total time required to fill a vertical cylindrical tank 3.05 m in
diameter, and 305 m high. Note: m = Q x ρ, where m= mass, Q=volume flow rate, ρ= density.
Volume of a cylinder is (π/4)(D2
)(h).

1 answer

a) Mass flow rate in kg/min = 284 liters/min x 985 kg/m3 = 279.66 kg/min

b) Total time required to fill a vertical cylindrical tank = (Volume of tank)/(Mass flow rate)
= [(π/4)(3.05 m)2(305 m)]/(279.66 kg/min) = 8.45 minutes