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Gibbs Helmholtz equation relates the ent...

Gibbs Helmholtz equation relates the enthalpy, entropy and free energy change of the process at constant pressure and temperature as
`DeltaG=DeltaH-TDeltaS " (at constant P, T)"`
In General the magnitude of `DeltaH` does not change much with the change in temperature but the terms `TDeltaS` changes appreciably. Hence in some process spontaneity is very much dependent on temperature and such processes are generally known as entropy driven process.
Fro the reaction at 298 K, `A_(2)B_(4)rarr2AB_(2)`
`DeltaH=2" kJ"` and `DeltaS` = 20 J/K at constant P and T, the reaction will be

A

spontaneous and entropy driven

B

spontaneous and enthalpy driven

C

non-spontaneous

D

at equilibrium

Text Solution

Verified by Experts

The correct Answer is:
A

`(DeltaG)_(PT)=2000-(20xx298)`
`=-3960 " J"//"mol"`
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Knowledge Check

  • Gibbs Helmholtz equation relates the enthalpy, entropy and free energy change of the process at constant pressure and temperature as DeltaG=DeltaH-TDeltaS " (at constant P, T)" In General the magnitude of DeltaH does not change much with the change in temperature but the terms TDeltaS changes appreciably. Hence in some process spontaneity is very much dependent on temperature and such processes are generally known as entropy driven process. The Dissolution of CaCl_(2).6H_(2)O in a large volume of water is endothermic to the extent of 3.5 kcal "mol"^(-1) and DeltaH for the reaction is -23.2 kcal "mol"^(-1) . CaCl_(2)(s)+6H_(2)O(l)rarrCaCl_(2).6H_(2)O(s) Select the correct statement :

    A
    `DeltaH_("solution")` for anhydrous `CaCl_(2)` is - 19.7 kcal/mol and the process is enthalpy driven
    B
    `DeltaH_("solution")` for anhydrous `CaCl_(2)` is - 19.7 kcal/mol and the process is entropy driven
    C
    Dissolution of `CaCl_(2).6H_(2)O` in water is enthalpy driven process
    D
    The `Delta_(r )S` the reaction `CaCl_(2)(s)+6H_(2)O(l)rarrCaCl_(2).6H_(2)O(s)` is negative
  • Gibbs Helmholtz equation relates the enthalpy, entropy and free energy change of the process at constant pressure and temperature as DeltaG=DeltaH-TDeltaS " (at constant P, T)" In General the magnitude of DeltaH does not change much with the change in temperature but the terms TDeltaS changes appreciably. Hence in some process spontaneity is very much dependent on temperature and such processes are generally known as entropy driven process. When CaCO_(3) is heated to a high temperature it decomposes into CaO and CO_(2) , however it is quite stable at room temperature. It can be explained by the fact that

    A
    `Delta_(r )H` dominates the term `TDeltaS` at high temperature
    B
    the term `TDeltaS` dominates the `Delta_(r )H` at high temperature
    C
    at high temperature both `Delta_(r )S` and `Delta_(r )H` becomes negative
    D
    thermodynamics can not say anything about spontaneity
  • The relation DeltaG=DeltaH-TDeltaS was given by

    A
    Boltzmann
    B
    Faraday
    C
    Gibbs-Helmholtz
    D
    Thomson
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