$(6)$ Ans. $8\mathrm{.}6510-4m^2$

Helium gas flows through a well$-$insulated nozzle at steady state. The temperature and velocity at the inlet are $333$ K and $53\frac{m}{s},$ respectively. At the exit, the temperature is $256$ K and the pressure is $345$ kPa $.$ The mass flow rate is $0\mathrm{.}5k\frac{g}{s}.$ Using the ideal gas model, and neglecting potential energy effects, determine the exit area, in $m^2.$