A centrifugal pump is installed in a piping system with (L=300 mathrm{~m}) of (D=40 mathrm{~cm}) cast-iron pipe.

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A centrifugal pump is installed in a piping system with \(L=300 \mathrm{~m}\) of \(D=40 \mathrm{~cm}\) cast-iron pipe. The downstream reservoir surface is \(15 \mathrm{~m}\) lower than the upstream reservoir. Determine and plot the system head curve. Find the volume flow rate (magnitude and direction) through the system when the pump is not operating. Estimate the friction loss, power requirement, and hourly energy cost to pump water at \(1 \mathrm{~m}^{3} / \mathrm{s}\) through this system.

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