The turbine in a jet engine receives air at 2200 R, 220 lbf/in 2. It exhausts to a nozzle at 35 lbf/in 2, which in turn exhausts to the atmosphere at 14.7 lbf/in 2. The isentropic efficiency of the turbine is 85% and the nozzle efficiency is 95%. Find the nozzle inlet temperature and the nozzle exit velocity. Assume negligible kinetic energy out of the turbine.