1. Does the amount of mass entering a control volume have to be equal to the amount of mass leaving during an unsteady-flow process? Explain
2. Water flows steadily into a tank through pipes 1 and 2 and discharges at steady rate out of the tank through pipes 3 and 4. The mean velocity of inflow and outflow in pipes 7, 2, and 3 is 15 m/s, and the hypothetical out flow velocity in pipe 4 varies linearly from zero at the wall to a maximum at the center of the pipe. Determine the mass rate of flow and the discharge from pipe 4, and the maximum velocity in pipe 4.