A centrifugal pump impeller having \(r_{1}=50 \mathrm{~mm}\), \(r_{2}=150 \mathrm{~mm}\), and width \(b=3.75 \mathrm{~mm}\) is to pump \(225 \mathrm{~L} / \mathrm{s}\) of water and supply \(12.2 \mathrm{~J}\) of energy to each newton of fluid. The impeller rotates at \(1000 \mathrm{rpm}\). What blade angles are required? What power is required to drive this pump? Assume radial flow at the inlet of the impeller.