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Q4 40 Points Based on the following figure of a hydropower plant, answer the following questions. Assume no change in water level at head race and tail race. Head race Dam 45 m Reservoir Intake Penstock Gross head Turbine 30 1 30 m Down stream 120 m Tail race a. Calculate the gross head (m) of the plant. (Points 10) b. If the overall headless due to pipe friction is 15m, calculate the net head, (Points 5) c. if the water flow rate to the turbine is 95m*/sec, turbine efficiency is 95%, and generator efficiency is 97%, calculate the electric power (MW) the plant is capable of producing, which actually its nameplate capacity. (Points 10) d. If the capacity factor of the power plant is 45%, calculate the annual energy production (GWh) by the power plant? (Points 10) e. If the average US household consume 11 MWh annually, how many household this plant can support? (Points 5) [ Please select file(s) Select file(s)