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Explain spontaneity of a process in term...

Explain spontaneity of a process in terms of Gibbs energy.

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Gibbs Energy : Gibbs energy is a thermodynamic function. This is the difference in the enthalpy (H) and the product of entropy (S) and absolute temperature (T) of the system.
G = H -TS
Gibbs energy is the amount of energy available from a system which can be put to useful work at constant temperature and pressure.
The change in Gibbs energy for the system `DeltaG_("system")` at constant temperature is
`DeltaG_("system") = DeltaH_("system")-TDeltaS("system")`
If `DeltaG_("system")` is negative `( lt 0) ` the process is spontaneous.
If `DeltaG_("system")` is positive `( gt 0)` the process is non-spontaneous.
If `DeltaG_("system")` is zero the system has attained equilibrium.
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Knowledge Check

  • The change in Gibbs free energy of the system along provides a criterion for the spontaneity of a process at constant temperature and pressure. A change in the free energy of a sytem at constant temperature and pressure will be: DeltaG_("system") = DeltaH_("system") - T DeltaS_("system") For a spontaneous reaction DeltaG , equilibrium constant K and E_("cell")^(0) will be respectively:

    A
    `-ve, gt 1, +ve`
    B
    `+ve, gt 1, -ve`
    C
    `-ve, lt 1, -ve`
    D
    `-ve, gt 1, -ve`
  • For a spontaneous process, in a reaction

    A
    `Delta S _("total") = (Delta S _("system") + Delta S _("surroundings")) lt O `
    B
    `Delta S _("total") = (Delta S _("system") + Delta S_("surroundings")) = O`
    C
    `Delta S _("total") = (Delta S _("system") + Delta S _("surroundings"))gt O`
    D
    `Delta S _(sys) gt O ` only
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