A water storage tank located on a larege dairy farm has a storage capacity of 0.1 ML. The average rate of water consumption from this tank is 6.25 kL per day, every day. The farmer refills the tank (overnight) every 14 days, using a pump that takes water from a nearby river. The top of the tank is 53m (vertically) above the level of the river. (Assume g = 9.81 m/s^2).
i) How much water (on average) is used by the farm in fourteen days
ii) How much energy / work is required to refill the tank with this quantity of water from the river (assume no energy losses)
iii) If the pump an piping system has an efficiency of 0.9, what input of power rating is required for the pump to refill the tank in 6 hours