Areheat rankine cycle operates with water as the working fluid. steam enters the first turbine at 8 mpa and 450°c and exits at 0.8 mpa. it is then reheated to 400°c before entering the second turbine, where it exits at 10 kpa. if the amount of work into the pump is 8.04 kj/kg and the net work per cycle produced is 1410.25 kj/kg, determine the thermal efficiency of the cycle.

At steady state, air enters an insulated duct of varying cross-sectional area (similar to a nozzle or diffuser) at 200 kpa, 52°c with a mass flow rate of 0.5 kg/s. at the duct exit, the pressure of the air is 100 kpa, the velocity is 255 m/s, and the cross-sectional area is 2 x 10-3 m^2. assuming an ideal gas model, determine: a)-find the specific volume of the air at the exit, in m3/kg. b)- the temperature of the air at the exit, in k. c)-the velocity of the air at the inlet, in m/s. d)-the inlet cross-sectional area, in m^2.