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Discussion :: Chemical Engineering Thermodynamics

  1. Air enters an adiabatic compressor at 300K. The exit temperature for a compression ratio of 3, assuming air to be an ideal gas (Y = Cp/Cv = 7/5) and the process to be reversible, is

    2. A.

     300(32/7)
    B.

     300(33/5)
    C.

     300(33/7)
    D.

     300(35/7)

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    Answer : Option A

    Explanation :

    We know for an ideal gas at adiabatic conditions
    TVγ−1=CONSTANT⇒T(RTP)γ−1=CONSTANT⇒TP1−γγ=CONSTANTSo,T2T1=(P2P1)γ−1γ
    ⇒  given compression ratio P2P1=3 and γ=75
    So, T2=300(3)27.

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