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  1. The difference between isothermal compressibility and adiabatic compressibility for an ideal gas is

  2. A.

     0

    B.

     +ve

    C.

     -ve

    D.

     ∞

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    Answer : Option B

    Explanation :

    By T−Ds  Equations at constant entropy
    CpdT=T∂V∂TPdP     and  Cv=−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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