Air enters an adiabatic nozzle at $300$ kPa, $500$ K with a velocity of $10$ m/s. It leaves the nozzle at $100$ kPa with a velocity of $180$ m/s. The inlet area is $80 \: cm^2$. The specific heat of air $C_p$ is $1008$ J/kg.K.
The exit area of the nozzle in $cm^4$ is
- $90.1$
- $56.3$
- $4.4$
- $12.9$