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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

  1. $90.1$
  2. $56.3$
  3. $4.4$
  4. $12.9$

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