Applying Conservation of MassLiquid water at 70°F enters a

Chapter 4, Problem 17P

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Liquid water at \(70^{\circ} \mathrm{F}\) enters a pump though an inlet pipe having a diameter of \(6 \mathrm{in}\). The pump operates at steady state and supplies water to two exit pipes having diameters of \(3 \mathrm{in}\). and \(4 \mathrm{in}\)., respectively. The velocity of the water exiting the 3-in. pipe is \(1.31 \mathrm{ft} / \mathrm{s}\). At the exit of the 4-in. pipe the velocity is \(0.74 \mathrm{ft} / \mathrm{s}\). The temperature of the water in each exit pipe is \(72^{\circ} \mathrm{F}\). Determine (a) the mass flow rate, in \(\mathrm{lb} / \mathrm{s}\), in the inlet pipe and each of the exit pipes, and (b) the volumetric flow rate at the inlet, in \(\mathrm{ft}^3 / \mathrm{min}\).