Find the velocity and area at a given point

Question

Air enters an adiabatic nozzle at p1= 30 bar, T1= 230^oC, and V1=10 m/s and at a rate of 0.84 kg/s. Assume air to be an ideal gas with constant specific heat and M = 29 kg/kmol, k = 1.4. (a) Find the inlet area (m2), (b) Find the velocity (m/s) and area (m^2) at a point where p2 = 20 bar, T2 = 180^oC, and (c) Find the velocity (m/s) and area (m^2) at a point where p3 = 5 bar, T3 = 50^oC.