Consider an adiabatic nozzle with air as the fluid. The inlet temperature is at 50°C with a pressure of P₁ = (1.5+y/100) atm. The exit is at 1.0 atm. Assuming that the inlet velocity is low, and that the specific heat is constant (cp= 1.005 kJ/(kg K) with k = 1.4) find the exit velocity if: a. the nozzle is reversible (in addition to adiabatic): \text { b. the nozzle has an isentropic efficiency of } h_{N}=(50+y / 2) \%