Air at 600 kPa and 500 K enters an adiabatic nozzle that has an inlet-to-exit area ratio of 2:1 with a velocity of 120 m/s and leaves with a velocity of 380 m/s. Determine (a) the exit temperature and (b) the exit pressure of the air

Question

Engineering

Jairo Herrera

2 February, 01:40

Air at 600 kPa and 500 K enters an adiabatic nozzle that has an inlet-to-exit area ratio of 2:1 with a velocity of 120 m/s and leaves with a velocity of 380 m/s. Determine (a) the exit temperature and (b) the exit pressure of the air

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Answers (1)

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Campbell Russell · Answer 1

Answer: 436.5k, 330.8 kpa

Explanation:

(A) Temperature

500K = 503.02k h1 (from table)

P1 = 600kpa

Solution

h2 = h1 - (v2^2 - v1^2) / 2

= 503.02 - (380^2 - 120^2) / 2 (1kj/kg/1000mls)

= 436.5k

(B) pressure

P2 = (A1 T2 V1) / (A2 T1 V2) X P1

= 2 (436.5k x 120m/s) / 1 (500k x 380m/s) x 600kpa

P2 = 330.8kpa