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11 June, 03:23

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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  1. 11 June, 03:32
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    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
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