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Chapter IV Thermal Studies of …..<br />

The standard free energy ∆ # G o , is the change in the Gibbs free<br />

energy, which accompanies the conversion of reactants in their standard<br />

states into products in their standard states. It can be calculated from the<br />

standard enthalpy and standard entropy using ∆ # G o = ∆ # H o – T∆ # S o or from<br />

tabulated value for the standard free energy of formation ∆ # G o .<br />

For spontaneous process, ∆ # S o is positive and ∆ # G o is negative. The<br />

relationship ∆ # G o = ∆ # H o – T∆ # S o allows predictions of the conditions under<br />

which a reaction is spontaneous. Temperature has a major effect on<br />

spontaneity of reactions. For the reactions where ∆ # H o < 0 and ∆ # S o < 0,<br />

|T∆ # S o | will be less than |∆ # H o | provided that T is small, and such a<br />

reaction will be spontaneous at lower temperatures. Conversely, when<br />

∆ # H o >0 and ∆ # S o >0, |T∆ # S o | will be greater than |∆ # H o | provided that T is<br />

large, and such a reaction will become spontaneous at higher<br />

temperatures. In both cases, the temperature at which the reaction<br />

becomes spontaneous (when ∆ # G o = 0) is simply given by T = ∆ # H o /∆ # S o<br />

[33]. The prediction for the processes is given in table (4.3).<br />

∆ # H o<br />

Table (4.3): The conditions for the prediction of processes<br />

∆ # S o<br />

Spontaneous or not Spontaneity favored by<br />

-ive +ive Under all conditions All conditions<br />

-ive -ive If | T∆ # S o | < | ∆ # H o | Low temperature<br />

+ive +ive If | T∆ # S o | > | ∆ # H o | High temperature<br />

+ive -ive Never No condition<br />

The thermodynamic parameters for dehydration of iron tartrate have<br />

been estimated by Joseph and Joshi [34]. Dabhi and Joshi [30, 31] have also<br />

reported the thermodynamic parameters for dehydration of various gel grown<br />

179

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