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  1. What is the ratio of adiabatic compressibility to isothermal compressibility?

    2. A.

     1
    B.

     < 1
    C.

     > 1
    D.

     >> 1

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    Answer : Option B

    Explanation :

    By T-Ds Equations at constant entropy
    CpdT=T∂V∂TPdP andCv=−T(∂P∂T)P(∂V∂T)S⇒CPCV=(∂P∂V)S(∂P∂V)T
    Since, CP  is always greater than CV  the ratio of isothermal compressibility and isentropic (reversible adiabatic) process is always greater than 1⇒   the difference is greater than zero.

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