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Energy Analysis of Control Volumes at Steady
Chapter 4, Problem 67P(choose chapter or problem)
Figure P4.67 provides steady-state operating data for a submerged pump and an attached delivery pipe. At the inlet, the volumetric flow rate is \(0.75 \mathrm{~m}^3 / \mathrm{min}\) and the temperature is \(15^{\circ} \mathrm{C}\). At the exit, the pressure is \(1 \mathrm{~atm}\). There is no significant change in water temperature or kinetic energy from inlet to exit. Heat transfer between the pump and its surroundings is negligible. Determine the power required by the pump, in kW. Let \(g=9.81 \mathrm{~m} / \mathrm{s}^2\).
Questions & Answers
QUESTION:
Figure P4.67 provides steady-state operating data for a submerged pump and an attached delivery pipe. At the inlet, the volumetric flow rate is \(0.75 \mathrm{~m}^3 / \mathrm{min}\) and the temperature is \(15^{\circ} \mathrm{C}\). At the exit, the pressure is \(1 \mathrm{~atm}\). There is no significant change in water temperature or kinetic energy from inlet to exit. Heat transfer between the pump and its surroundings is negligible. Determine the power required by the pump, in kW. Let \(g=9.81 \mathrm{~m} / \mathrm{s}^2\).
ANSWER:
Solution
Step 1 of 3
In this problem, we have to find the power required by the pump, in kW. Since a control volume includes the pump and piping as shown in the figure in this problem, the control volume is at steady-state for all volume of in negligible and there is no significant change in water temperature or kinetic energy.