Waterat$20\backslash$deg Cispumpedthrough$3000$cmofpipewithaninternaldiameterof$7\mathrm{.}8$cminto an overhead storage tank that vents to the surroundings. The total elevation change is $1000$ cm$.$ The valves and other pipe fittings are equivalent to an additional pipe length equal to $15$ pipe diameters. What outlet pressure in atmospheres of the pump is needed to move the water at a flow rate of $70$ L min$1?$ At $20\backslash$deg C the viscosity of water is $1\mathrm{.}002$ cP and the density is $0\mathrm{.}9982$ g cm$3$