Air flows steadily through a constantarea duct At the entran

Air flows steadily through a constant-area duct. At the entrance the velocity is 7.2 m/s and temperature is

300 K. The duct is heated such that at the exit the temperature is 555 K .

Part A

If the specific volume (v) of air is proportional to the absolute temperature (in K) and the mass flow rate remains constant throughout the duct, determine the exit velocity.

Solution

According to ideal gas law pv= nrt

V₁/ V₂ = T₁ / T₂

WHERE V₁ , T₁ represents velocity , tempertaure at entrance.

  V₂ , T₂ represents velocity , tempertaure at exit.

therefore 7.2 /  V₂  = 300 / 555

form this V₂ = 13.33 m/s.

exit velocity = 13.33 m/s.