A water supply tank is capable of providing 0.3 m³/s of water for fire fighting in a chemical plant. The water supply comes from a lake, the lake surface elevation is 800 m and the factory elevation is 852 m above sea level. The water discharge pipe is located at a depth of 100 m from the lake surface. The pipe friction losses to the plant are given by the ratio (0.01 m/s²).L, where L is the pipe length. The piping to the supply tank has an internal diameter of 0.15 m and a length of 8000 m. How much energy should a pump supply to water?