Steam enters a nozzle operating at steady state at 30 bar, 400°C, with a velocity of 15 m/s. The exit pressure and temperature are 0.7 bar and 200°C, respectively. The mass flow rate is 1.5 kg/s. Neglecting heat transfer and potential energy, determine:

a) The exit velocity in m/s.
b) The inlet and exit flow areas, in cm².