The figure below shows a turbine-driven pump that provides water to a mixing chamber located dz = 25 m higher than the pump, where mass flow rate is 50 kg/s. Steady state operating data for the turbine and pump are labeled on the figure. Heat transfer from the water to its surroundings occurs at a rate of 2 kW. For the turbine, heat transfer with the surroundings and potential energy effects are negligible. Kinetic energy effects at all numbered states can be ignored.

An oil pump operating at steady state delivers oil at a rate of 10 lb/s through a 1-in.-diameter exit pipe. The oil, which can be modeled as incompressible, has a density of 70 lb/ft3 and experiences a pressure rise from inlet to exit of 40 lb/in². There is no significant elevation difference between inlet and exit, and the inlet kinetic energy is negligible. Heat transfer between the pump and its surroundings is negligible, and there is no significant change in temperature as the oil passes through the pump. Determine the velocity of the oil at the exit of the pump, in ft/s, and the power required for the pump, in hp. Determine the power required for the pump, in hp.

Looking for velocity at the exit and mass flow rate. Show step by step solution please thank youu

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