Air with a mass flow rate of 2.3 kg/s enters a horizontal nozzle operating at steady state at 420 k, 350 kpa, and velocity of 19 m/s. at the exit, the temperature is 300 k and the velocity is 460 m/s. using the ideal gas model for air with constant cp = 1.011 kj/kg · k, determine: (a) the area at the inlet, in m2. (b) the heat transfer to the nozzle from its surroundings, in kw.