BotanyThe incorrect expression among the following is

The incorrect expression among the following is

  1. A

    GsystemGtotal=-T

  2. B

    in isothermal process, Wreversible=-nRTln VfVi

  3. C

    ln K = H-TS0RT

  4. D

    K=e-G0/RT

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    Solution:

    According to Gibbs Helmholtz equation,

    G=H-TS

    (a)  For a system, total entropy change = Stotal

    Stotal=0

           Gsystem=-TStotal         GsystemStotal=-T

    Thus, (a) is correct.

    (b) For isothermal reversible process, E=0

    By first law of thermodynamics, E=q+W

           Wreversible  =-q=-ViVfpdV       Wreversible  =-nRT ln VfVi

    Thus, (b) is correct

    (c) G0=H0-TS0                 ....(1) Also, G0= -RT ln K ln K = H0-TS0RT ln K = G0RT                 [from Eq. (i)] Thus, (c) is incorrect

    (d) The standard free energy G0 is related to equilibrium constant K as

    G0=-RT  ln K     ln K = G0RT       K = -e-G0 Thus,  (d) is also correct.

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