(Solved): fluid mechanics A pipeline is constructed to transfer drinking water from the top of a lake to an op ...

A pipeline is constructed to transfer drinking water from the top of a lake to an open-top storage tank in a town. The distance from the lake to the storage tank is $15\mathrm{km}$, and the elevation of the storage tank is $500\mathrm{m}$ above the lake. There are 10,000 people living in the town. You can assume the town is in İstanbul, Ankara or Izmir. Choose an appropriate diameter so that the velocity in the pipe is between $0.7\mathrm{m}/\mathrm{s}$ and $3.0\mathrm{m}/\mathrm{s}$. There are four angle valves and two threaded $90^{\circ }$ elbows along the pipe. Determine the power of the pump $(\mathrm{kW})$ needed to transfer the water from the lake to the storage tank. If the cost of electricity is $0.52\mathrm{TL}\mathrm{kWh}$, determine the annual cost of electricity (TL) if the pump works continuously. If generating $1\mathrm{kWh}$ of electricity produces $500\mathrm{g}{\mathrm{of}}^{\mathrm{CO}}{\mathrm{O}}_2$ emissions, determine the annual ${\mathrm{CO}}_2$ emissions (ton ${\mathrm{CO}}_2$ ) based on the electricity consumption of the pump.