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.

Question

Physics

Brodie Choi

20 November, 11:08

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.

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Dakota Gonzalez · Answer 1

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.