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Figure P4.67 provides steady-state operating data for a
Chapter 4, Problem 4.67(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 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 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 \(g=9.81 \mathrm{m} / \mathrm{s}^{2}\).
Step 1 of 3
Given data:
The volumetric flow rate at the inlet is 0.75 meter cube per minute, and the temperature is 15 degrees C. At the exit, the pressure is 1 atm. There is no significant change in water temperature or kinetic energy from the inlet to the exit. Heat transfer between the pump and its surroundings is negligible.
Step 2 of 3
Apply steady-state energy rate balance equation:
\(0 = {\mathop Q\limits^ \bullet _{cv}} - {\mathop W\limits^ \bullet _{cv}} + \mathop m\limits^ \bullet \left( {\left( {{h_1} - {h_2}} \right) + \frac{{V_1^2 - V_2^2}}{2} + g\left( {{z_1} - {z_2}} \right)} \right) \)
Since, there is no heat transfer between the pump and