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

∆ # S o = 2.303 × R × log10 [Ah/kTm ] (4.3)<br />

Where, k = Boltzmann constant, h = Planck’s constant,<br />

Tm = Temperature, A = Frequency factor.<br />

The standard enthalpy of activation ∆ # H o can be calculated by using<br />

the following relation,<br />

∆ # H o = E – 2RT (4.4)<br />

The standard Gibbs energy of activation ∆ # G o is possible to estimate<br />

from the equation.<br />

∆ # G o = ∆ # H o – T∆ # S o (4.5)<br />

Enthalpy is a state function whose absolute value cannot be known.<br />

∆ # H o can be ascertained, either by direct method or indirectly. An increase<br />

in the enthalpy of a system, for which ∆ # H o is positive, is referred to as an<br />

endothermic process. Conversely, loss of heat from a system, for which<br />

∆ # H o has a negative value, is referred to as an exothermic process.<br />

Entropy is a thermodynamic property of a system. It is a state<br />

function and it is defined in terms of change rather than its absolute value.<br />

A spontaneous process has a natural tendency to occur, without the need<br />

for input work into the system. In contrast to this, the non-spontaneous<br />

process does not have a natural tendency to occur.<br />

However, ∆ # G o<br />

is negative for a spontaneous process. An<br />

exothermic reaction (∆ # H o > 0) with positive (∆ # S o > 0) is always<br />

spontaneous. A reaction for which ∆ # H o < 0 and ∆ # S o < 0 is spontaneous<br />

only at low temperatures, whilst a reaction for which ∆ # H o > 0 and ∆ # S o > 0<br />

is spontaneous only at high temperatures. The temperature at which the<br />

reaction becomes spontaneous in each case is given by T = ∆ # H o /∆ # S o .<br />

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