Steam enters a converging diverging nozzle operating at steady state with pressure 40 bar, temperature 400 °C and a velocity of 10 m/s. The steam flows through the nozzle with negligible heat transfer and no significant change in potential energy. At the exit, pressure is 15 bar and velocity is 665 m/s. The mass flow rate is 2 kg/s. Determine the exit area of the nozzle in cm².

The given data can be used:

At P = 40 bar, T_sat = 250.4 °C

At P = 40 bar & T = 400 °C, v = 0.07341 m³/kg, u = 2919.9 kJ/kg, h = 3213.6 kJ/kg

At P = 15 bar & T = 240 °C, v = 0.1483 m³/kg, h = 2899.3 kJ/kg

At P = 15 bar & T = 280 °C, v = 0.1627 m³/kg, h = 2992.7 kJ/kg

At P = 15 bar & T = 320 °C, v = 0.1765 m³/kg, h = 3081.9 kJ/kg