Question

1) Air modeled as an ideal gas enters a well-insulated diffuser operating at steady state at 270 K with a velocity of 180 m/s and exits with a velocity of 48.4 m/s. For negligible potential energy effects, determine the exit temperature, in K.

Answer 1

Step-by-step explanation:

Kinetic energy of a gas molecule = 3/2 k T

1/2 m v² = 3/2 k T

v² ∝ T

(v₁ / v₂)² = T₁ / T₂

( 180 / 48.4 )² = 270 / T₂

13.83 = 270 / T₂

T₂ = 19.52 K .

Exit temp = 19.52 K .