A convergent-divergent nozzle is designed for accelerating air. The design conditions are: Inlet: po = 10 bar; To = 300 K; negligible velocity. Outlet: pe = 2 bar. The nozzle is designed such that the pressure ratio po/p varies linearly with axial distance x from inlet. If the total length of the nozzle is 20 cm, derive the expressions for the variations in po/p and nozzle area A as functions of x, required for an airflow rate of 1 kg/s. Find the x-coordinate of the throat.