(1) A pumped hydro storage system (Pumped Storage Hydropower | Department of Energy) is used to store excess electricity in the potential energy of a fluid (a dam, run in reverse)

as opposed to a battery. Water is pumped steadily from a lower reservoir to an upper reservoir (Az = 48 m) at a volumetric flow rate of 0.035 m³/s. Assume that both bodies of water are relatively stagnant (V = 0 m/s) and at the same pressure P₁ = P2. The pump being used is currently consuming 21 kW of electrical energy for storage into the water. However, as most real-world systems, the pump does not operate perfectly, and some of the electrical energy is lost to heat due to frictional losses in the pump. Qloss Pump Welec Part A: Determine the rate of energy stored mechanically in the fluid flow (AĖmech) (kW) Part B: Determine the rate of heat lost to the surroundings due to the frictional losses (kW) AÉmech Welec Part C: Determine the efficiency of the pumped hydro storage system n = 2