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(Solved): In 2002, a boutique hotel named Haus Sonnenblitz was established along the shore of Schwielowsee La ...



In 2002, a boutique hotel named Haus Sonnenblitz was established along the shore of Schwielowsee Lake, which connects to the Havel River, in the Potsdam-Mittelmark region of Brandenburg, Germany. This region comprises the villages of Caputh, Geltow, and Ferch. For the hotel's operations, water will be sourced from Schwielowsee Lake and conveyed to Haus Sonnenblitz through a planned pipeline system. Satellite images of the lake and the hotel are attached for your reference, along with the following details: A pipeline is designed to connect the lake's water intake tank to the hotel's storage tank. The pipeline diameter must be \( \mathbf{1 2 9} \mathbf{~ c m} \), as per local regulations. A water quality monitoring station is located along the pipeline, between the lake and the hotel. The monitoring devices at this station require a specific operating pressure to function efficiently, necessitating detailed calculations to determine the appropriate devices for purchase and installation. We kindly request the flow rate through the pipeline. The total pipeline length is \( \mathbf{8 0 9 ~ m} \), with \( \mathbf{3 0 4 ~ m} \) from the lake to the station and \( \mathbf{5 0 5 ~ m ~ f r o m ~ t h e ~} \) station to the hotel. The pipe's friction factor is \( \mathbf{0 . 0 4} \), and potential local pressure losses at pipeline and facility connection points can be neglected due to the extended distance. There is a \( 3 \mathbf{m} \) elevation difference between the free water surface of Schwielowsee Lake's water intake tank and the station, and a \( \mathbf{6 m} \) elevation difference between the lake's water intake tank and the hotel's storage tank NOTE: A PUMP MUST BE USED ( \( N p=\gamma Q H t / n \) ). Piezometric diagram is asked in the diagram which shows all pipes and pump. Sattalite view



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