Air flows steadily through an adiabatic nozzle with an inlet diameter of 5 cm. Some features of nozzle inlet and outlet are as follows:

Input : P=700 kPa ; T=598N; u=30 m/s

Output : P=350 kPa ; T=513K

Calculate the velocity (m/s) and diameter (cm) at the nozzle outlet. Assume that air behaves as an ideal gas. Cpair = 1.005 kJ/kg.K