An oil pump operating at steady state delivers oil at a rate of 12 lb/s through a 1-in.-diameter exit pipe. The oil, which can be modeled as incompressible, has a density of 100 lb/ft3 and experiences a pressure rise from inlet to exit of 40 lbf/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.

There is a piston-cylinder system that undergoes a process. The total work done by the system, W, is 50 kJ, and thechange in the specific internal energy of the system, Δu, is −7 kJ/kg. We also know the total mass of the system, m, is 10kg. During the process, both the change of kinetic energy and the change of potential energy are negligible. Pleasedetermine 1) the total energy change, ΔE, in kJ; 2) the total heat transfer, Q, in kJ; and 3) judge the direction of energyflow for the heat transfer: into the system or out of the system.

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.

The net change in volume (a property) during a cycle is always zero.