Liquid water enters a manifold (series of pipes) at 1000 psi and 120 °F with a mass flow rate of 3.0 x 106 lbm/hr and flows through a number of one inch diameter tubes. At steady state, how many tubes are needed if the velocity in each tube must be less than 20 ft/s? Assume the water is at constant density as it flows throughout the manifold and that the cross-sectional area of the pipes is circular.