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9 October, 21:05

5 L of air at 122 kPa and 20 oC was compressed by an air compressor applying 185 kJ/kg flow work increasing the pressure to 1,076 kPa. Calculate the final temperature in oC

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  1. 9 October, 21:29
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    The final temperature is 37.26 °C

    Explanation:

    Assuming the thermodynamic process is an adiabatic compression process.

    T2 = T1 (P2/P1) ^k-1/k

    T2 is the final temperature of air

    T1 is the initial temperature of air = 20 °C

    P1 is the initial pressure of air = 122 kPa

    P2 is the final pressure of air = 1,076 kPa

    k represents gamma = 1.4

    T2 = 20 (1,076/122) ^1.4-1/1.4 = 20 (8.8197) ^0.4/1.4 = 20 (8.8197) ^0.2857 = 20 (1.863) = 37.26 °C
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