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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 temperature of the air is

  1. $516$ K
  2. $532$ K
  3. $484$ K
  4. $468$ K
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